# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 217 Publications since 1987, including 8 Books Reviewing Activity: 181 Reviews
all top 5

#### Co-Authors

 44 single-authored 44 Yao, Jen-Chih 34 Rus, Ioan A. 33 Petruşel, Gabriela 31 Ceng, Lu-Chuan 14 Şerban, Marcel Adrian 10 Wong, Mu Ming 8 Moţ, Ghiocel 5 O’Regan, Donal 5 Qin, Xiaolong 5 Samet, Bessem 4 Bota, Monica-Felicia 4 Guran, Liliana 4 Yao, Yonghong 3 Amini-Harandi, Alireza 3 Ansari, Qamrul Hasan 3 Benchohra, Mouffak 3 Chifu, Cristian 3 Espínola García, Rafael 3 Filip, Alexandru-Darius 3 Mleşniţe, Oana Maria 3 Sahu, Daya Ram 3 Shahzad, Naseer 3 Sîntămărian, Alina 2 Abbas, Said 2 Alghamdi, Maryam A. 2 Berinde, Vasile 2 Dhage, Bapurao C. 2 Huang, Shuechin 2 Karapınar, Erdal 2 Kumam, Poom 2 Lazăr, Tania Angelica 2 Li, Jinlu 2 Moroşanu, Gheorghe 2 Petru, Tünde Petra 2 Singh, Deepak Kumar 2 Soós, Anna 2 Su, Yongfu 2 Urs, Cristina 1 Abbas, Mujahid 1 Albarakati, Wafaa A. 1 Alecsa, Cristian Daniel 1 Alizadeh, C. G. 1 Balooee, Javad 1 Bota, Marius 1 Brzdęk, Janusz 1 Bucur, Amelia 1 Dey, Lakshmi Kanta 1 Dolhare, U. P. 1 Du, Wei-Shih 1 Fakhar, Majid 1 Garai, Hiranmoy 1 Hajisharifi, Hamid Reza 1 Iqbal, Hira 1 Joshi, Vishal 1 Kirr, Eduard 1 Köbis, Elisabeth 1 Lee, Chinsan 1 Lin, Lai-Jiu 1 Lin, Yen-Cherng 1 Llorens-Fuster, Enrique 1 López Acedo, Genaro 1 Luo, Yinglin 1 Nguyen Van Dung 1 Nicolae, Adriana 1 Pant, Rajendra Prasad 1 Petre, Ioan-Radu 1 Postolache, Mihai 1 Precup, Radu 1 Prus, Stan 1 Romaguera Bonilla, Salvador 1 Sagar, Vidya 1 Satco, Bianca-Renata 1 Shukla, Rahul 1 Sintunavarat, Wutiphol 1 Som, Sumit 1 Szentesi, Silviu 1 Wu, Soon-Yi 1 Xiao, Yibin 1 Xie, Linsen 1 Xu, Hong-Kun 1 Younis, Mudasir 1 Yu, Su-Jane
all top 5

#### Serials

 21 Fixed Point Theory 18 Journal of Nonlinear and Convex Analysis 13 Taiwanese Journal of Mathematics 11 Studia Universitatis Babeş-Bolyai. Mathematica 8 Fixed Point Theory and Applications 8 Journal of Fixed Point Theory and Applications 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Optimization 5 Miskolc Mathematical Notes 4 Journal of Optimization Theory and Applications 4 PU.M.A. Pure Mathematics and Applications 4 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 3 Journal of Mathematical Analysis and Applications 3 Chaos, Solitons and Fractals 3 Revue d’Analyse Numérique et de Théorie de l’Approximation 3 Abstract and Applied Analysis 3 “Babeş-Bolyai” University. Faculty of Mathematics and Computer Science. Research Seminars. Preprint 3 Seminar on Fixed Point Theory Cluj-Napoca 3 Carpathian Journal of Mathematics 3 Preprint. “Babeş-Bolyai” University. Faculty of Mathematics and Physics. Research Seminars 3 Journal of Nonlinear and Variational Analysis 2 Mathematica 2 Analele Ştiinţifice ale Universităţii “Ovidius” Constanţa. Seria: Matematică 2 Electronic Journal of Qualitative Theory of Differential Equations 2 Mathematica Moravica 2 Discrete Dynamics in Nature and Society 2 Scientiae Mathematicae Japonicae 2 Central European Journal of Mathematics 2 Journal of Nonlinear Science and Applications 2 Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Function Spaces 1 Applied Mathematics and Computation 1 Commentationes Mathematicae Universitatis Carolinae 1 Demonstratio Mathematica 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Publicationes Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 1 Topological Methods in Nonlinear Analysis 1 Georgian Mathematical Journal 1 Filomat 1 Discussiones Mathematicae. Differential Inclusions 1 Journal of Inequalities and Applications 1 Mathematical Inequalities & Applications 1 Fractional Calculus & Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Nonlinear Analysis Forum 1 Discussiones Mathematicae. Differential Inclusions, Control and Optimization 1 Nonlinear Analysis. Modelling and Control 1 Nonlinear Functional Analysis and Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Buletinul Ştiinţific al Universităţii din Baia Mare. Seria B. Fascicola Matematică - Informatică 1 International Journal of Pure and Applied Mathematics 1 Cubo 1 Preprint. “Babeş-Bolyai” University. Faculty of Mathematics. Research Seminars 1 Journal of Mathematical Inequalities 1 Analele Universităţii de Vest din Timişoara. Seria Matematică-Informatică 1 Acta Universitatis Sapientiae. Mathematica 1 Set-Valued and Variational Analysis 1 Linear and Nonlinear Analysis
all top 5

#### Fields

 157 Operator theory (47-XX) 129 General topology (54-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 19 Ordinary differential equations (34-XX) 14 Measure and integration (28-XX) 13 Integral equations (45-XX) 13 Numerical analysis (65-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Operations research, mathematical programming (90-XX) 5 General and overarching topics; collections (00-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 3 Convex and discrete geometry (52-XX) 2 Difference and functional equations (39-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH Open

144 Publications have been cited 1,341 times in 895 Documents Cited by Year
Fixed point theorems for generalized contractions in ordered metric spaces. Zbl 1142.47033
2008
Fixed point theorems in ordered $$L$$-spaces. Zbl 1086.47026
2006
Multivalued fractals in $$b$$-metric spaces. Zbl 1235.54011
Boriceanu, Monica; Bota, Marius; Petruşel, Adrian
2010
Fixed point theory. Zbl 1171.54034
Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela
2008
Fixed point theory for a new type of contractive multivalued operators. Zbl 1213.54068
2009
Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph. Zbl 1227.54053
2011
Iterative approaches to solving equilibrium problems and fixed point problems of infinitely many nonexpansive mappings. Zbl 1188.90256
Ceng, L. C.; Petruşel, A.; Yao, J. C.
2009
Data dependence of the fixed point set of some multivalued weakly Picard operators. Zbl 1055.47047
Rus, Ioan A.; Petruşel, Adrian; Sîntămărian, Alina
2003
Viscosity approximation to common fixed points of families of nonexpansive mappings with generalized contractions mappings. Zbl 1142.47329
Petruşel, A.; Yao, J.-C.
2008
Ulam-Hyers stability for operatorial equations and inclusions via nonself operators. Zbl 1246.54049
Petru, T. P.; Petruşel, A.; Yao, J.-C.
2011
Well-posedness in the generalized sense of the fixed point problems for multivalued operators. Zbl 1149.54022
Petruşel, Adrian; Rus, Ioan A.; Yao, Jen-Chih
2007
Strong convergence of iterative methods by strictly pseudocontractive mappings in Banach spaces. Zbl 1281.47054
2011
Ulam-Hyers stability for operatorial equations. Zbl 1265.54158
Bota-Boriceanu, M. F.; Petruşel, A.
2011
Iterated function systems and well-posedness. Zbl 1198.52014
Llorens-Fuster, Enrique; Petruşel, Adrian; Yao, Jen-Chih
2009
Strong convergence of modified implicit iterative algorithms with perturbed mappings for continuous pseudocontractive mappings. Zbl 1168.65350
Ceng, Lu-Chuan; Petruşel, Adrian; Yao, Jen-Chih
2009
Multivalued weakly Picard operators and applications. Zbl 1066.47058
2004
Multivalued fractals and generalized multivalued contractions. Zbl 1131.28005
2008
Fixed points for non-self operators and domain invariance theorems. Zbl 1183.47052
2009
Fixed point theory 1950–2000. Romanian contributions. Zbl 1005.54037
Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela
2002
Common coupled fixed point theorems for $$w^*$$-compatible mappings without mixed monotone property. Zbl 1260.54066
Sintunavarat, Wutiphol; Petruşel, Adrian; Kumam, Poom
2012
CQ iterative algorithms for fixed points of nonexpansive mappings and split feasibility problems in Hilbert spaces. Zbl 06876349
Qin, Xiaolong; Petruşel, Adrian; Yao, Jen-Chih
2018
Hybrid viscosity extragradient method for systems of variational inequalities, fixed points of nonexpansive mappings, zero points of accretive operators in Banach spaces. Zbl 1406.49010
Ceng, Lu-Chuan; Petruşel, Adrian; Yao, Jen-Chih; Yao, Yonghong
2018
Coupled fixed point theorems for symmetric contractions in $$b$$-metric spaces with applications to operator equation systems. Zbl 06633838
Petruşel, A.; Petruşel, G.; Samet, B.; Yao, J.-C.
2016
Iterative approximation of fixed points for asymptotically strict pseudocontractive type mappings in the intermediate sense. Zbl 1437.47046
Ceng, Lu-Chuan; Petruşel, Adrian; Yao, Jen-Chih
2011
Weakly Picard operators: equivalent definitions, applications and open problems. Zbl 1111.47048
2006
Operatorial inclusions. Zbl 1057.47004
2002
On Frigon-Granas-type multifunctions. Zbl 1043.47036
2002
Well-posedness of the fixed point problem for multivalued operators. Zbl 1169.47037
2007
Multivalued operators and continuous selections. The fixed points set. Zbl 0937.47052
1998
Relaxed extragradient-like method for general system of generalized mixed equilibria and fixed point problem. Zbl 1243.49037
2012
Relaxed extragradient methods with regularization for general system of variational inequalities with constraints of split feasibility and fixed point problems. Zbl 1272.49061
Ceng, L. C.; Petruşel, A.; Yao, J. C.
2013
Krasnoselskii’s theorem in generalized Banach spaces and application. Zbl 1340.47110
Petre, I. R.; Petrusel, A.
2012
Krasnoselski-Mann iterations for hierarchical fixed point problems for a finite family of nonself mappings in Banach spaces. Zbl 1210.47094
Ceng, L. C.; Petruşel, A.
2010
Multivariate fixed point theorems for contractions and nonexpansive mappings with applications. Zbl 1347.54110
Su, Yongfu; Petruşel, Adrian; Yao, Jen-Chih
2016
Ulam stability for Hilfer type fractional differential inclusions via the weakly Picard operators theory. Zbl 1364.34008
Abbas, Saïd; Benchohra, Mouffak; Petruşel, Adrian
2017
A study of a general system of operator equations in $$b$$-metric spaces via the vector approach in fixed point theory. Zbl 06821148
2017
Ulam stability for partial fractional differential inclusions via Picard operators theory. Zbl 1324.34029
Abbas, S.; Benchohra, M.; Petrusel, A.
2014
Fixed points, fixed sets and iterated multifunction systems for nonself multivalued operators. Zbl 1328.54047
2015
A fixed point theorem for cyclic generalized contractions in metric spaces. Zbl 1274.54108
2012
Composite viscosity approximation methods for equilibrium problem, variational inequality and common fixed points. Zbl 1287.49009
Ceng, L. C.; Petruşel, A.; Yao, J. C.
2014
Existence and data dependence of fixed points for multivalued operators on gauge spaces. Zbl 1070.47046
2005
Systems of variational inequalities with hierarchical variational inequality constraints for Lipschitzian pseudocontractions. Zbl 1430.49004
Ceng, Lu-Chuan; Petruşel, Adrian; Yao, Jen-Chih; Yao, Yonghong
2019
Fixed point theorems on spaces endowed with vector-valued metrics. Zbl 1197.54061
2010
Fixed points for multivalued operators on a set endowed with vector-valued metrics and applications. Zbl 1194.54056
Bucur, Amelia; Guran, Liliana; Petruşel, Adrian
2009
Fixed point theory for multivalued operators on a set with two metrics. Zbl 1133.47036
2007
The retraction-displacement condition in the theory of fixed point equation with a convergent iterative algorithm. Zbl 1458.54030
Berinde, V.; Petruşel, A.; Rus, I. A.; Şerban, M. A.
2016
Single-valued and multi-valued Meir–Keeler type operators. Zbl 1074.47511
2001
Fixed point theorems for generalized contractions with applications to coupled fixed point theory. Zbl 06876343
Petruşel, Adrian; Petruşel, Gabriela; Xiao, Yi-Bin; Yao, Jen-Chih
2018
Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of Lipschitz pseudocontractive mappings. Zbl 1161.47048
Ceng, Lu-Chuan; Petruşel, Adrian; Yao, Jen-Chih
2007
A study of the coupled fixed point problem for operators satisfying a max-symmetric condition in $$b$$-metric spaces with applications to a boundary value problem. Zbl 1389.54104
Petruşel, Adrian; Petruşel, Gabriela; Samet, Bessem
2016
Single-valued and multi-valued Caristi type operators. Zbl 1003.47041
2002
Generalized multivalued contractions. Zbl 1042.47520
2001
The theory of a metric fixed point theorem for multivalued operators. Zbl 1225.54026
2010
An extragradient iterative scheme by viscosity approximation methods for fixed point problems and variational inequality problems. Zbl 1195.49017
2009
Dynamics on $$(P_{cp}(X), H_d)$$ generated by a finite family of multi-valued operators on $$(X,d)$$. Zbl 1011.47043
2001
Data dependence of the fixed points set of multivalued weakly Picard operators. Zbl 1027.47053
Rus, Ioan A.; Petruşel, Adrian; Sîntămărian, Alina
2001
A fixed point theorem and the Ulam stability in generalized dq-metric spaces. Zbl 1402.54037
Brzdęk, Janusz; Karapınar, Erdal; Petruşel, Adrian
2018
A class of abstract Volterra equations, via weakly Picard operators technique. Zbl 1197.47080
Şerban, M. A.; Rus, I. A.; Petruşel, A.
2010
Two extragradient approximation methods for variational inequalities and fixed point problems of strict pseudo-contractions. Zbl 1170.49006
Ceng, L. C.; Petruşel, A.; Lee, C.; Wong, M. M.
2009
Coupled fixed point theorems for single-valued operators in $$b$$-metric spaces. Zbl 1347.54069
Bota, Monica-Felicia; Petruşel, Adrian; Petruşel, Gabriela; Samet, Bessem
2015
Fixed points and homotopy results for Ćirić-type multivalued operators on a set with two metrics. Zbl 1153.47047
Lazăr, Tania; O’Regan, Donal; Petruşel, Adrian
2008
Weak convergence theorem by a modified extragradient method for nonexpansive mappings and mononote mappings. Zbl 1223.47072
Ceng, Lu-Chuan; Petruşel, Adrian; Yao, Jen-Chih
2008
Fixed points for operators on generalized metric spaces. Zbl 1160.54030
2008
Ćirić type fixed point theorems. Zbl 1389.47140
2014
An abstract point of view on iterative approximation schemes of fixed points for multivalued operators. Zbl 1432.54075
2013
Multivalued Picard and weakly Picard operators. Zbl 1091.47047
2004
Integral inclusions. Fixed point approaches. Zbl 0991.47041
2000
On hybrid proximal-type algorithms in Banach spaces. Zbl 1215.47060
Ceng, L. C.; Petruşel, A.; Wu, S. Y.
2008
Graphic contraction principle and applications. Zbl 07216131
Petruşel, A.; Rus, I. A.
2019
Fixed points for multivalued Suzuki type $$(\theta, \mathscr{R})$$-contraction mapping with applications. Zbl 07067883
Abbas, Mujahid; Iqbal, Hira; Petrusel, Adrian
2019
Self-similar sets and fractals generated by Ćirić type operators. Zbl 1437.54064
2015
Multivalued analysis and mathematical economics. Zbl 1075.26001
2004
Coupled fixed point theorems for symmetric multi-valued contractions in b-metric space with applications to systems of integral inclusions. Zbl 06629848
Petruşel, Adrian; Petruşel, Gabriela; Samet, Bessem; Yao, Jen-Chih
2016
Weak convergence theorem by a modified extragradient method for nonexpansive mappings and monotone mappings. Zbl 1169.49005
Ceng, L. C.; Huang, S.; Petruşel, A.
2009
Approximation of fixed common points and variational solutions for one-parameter family of Lipschitz pseudocontractions. Zbl 1203.49013
Ceng, Lu-Chuan; Petruşel, Adrian; Szentesi, Silviu; Yao, Jen-Chih
2010
The role of equivalent metrics in fixed point theory. Zbl 1278.54044
2013
Existence and Ulam-Hyers stability results for multivalued coincidence problems. Zbl 1289.54137
2012
Viscosity approximations by generalized contractions for resolvents of accretive operators in Banach spaces. Zbl 1223.47090
2009
Topics in nonlinear analysis and applications to mathematical economics. Zbl 1126.47059
Moţ, Ghiocel; Petruşel, Adrian; Petruşel, Gabriela
2007
Strong convergence theorems of averaging iterations of nonexpansive nonself-mappings in Banach spaces. Zbl 1143.47045
Ceng, Lu-Chuan; Petruşel, Adrian; Yao, Jen-Chih
2007
Relaxed implicit extragradient-like methods for finding minimum-norm solutions of the split feasibility problem. Zbl 1292.47043
Ceng, Lu-Chuan; Wong, Mu-Ming; Petruşel, Adrian; Yao, Jen-Chih
2013
Vector-valued metrics in fixed point theory. Zbl 1330.54066
Petruşel, Adrian; Urs, Cristina; Mleşniţe, Oana
2015
Vector-valued metrics, fixed points and coupled fixed points for nonlinear operators. Zbl 1314.54040
Petruşel, Adrian; Petruşel, Gabriela; Urs, Cristina
2013
Fixed point theory with applications to dynamical systems and fractals. Zbl 1026.47046
2002
Fixed points and selections for multi-valued operators. Zbl 1048.47039
2001
On some fixed point theorems for multi-valued operators by altering distance technique. Zbl 1437.54037
2017
Fixed points vs. coupled fixed points. Zbl 1398.54083
2018
New fixed point theorems on $$b$$-metric spaces with applications to coupled fixed point theory. Zbl 07240948
Bota, Monica-Felicia; Guran, Liliana; Petruşel, Adrian
2020
Applications of graph Kannan mappings to the damped spring-mass system and deformation of an elastic beam. Zbl 1453.05127
Younis, Mudasir; Singh, Deepak; Petruşel, Adrian
2019
Order-clustered fixed point theorems and their applications to Pareto equilibrium problems. Zbl 06840718
Xie, Linsen; Li, Jinlu; Petruşel, Adrian; Yao, Jen-Chih
2017
Some remarks on regularized multivalued nonconvex equilibrium problems. Zbl 1399.47155
2017
A study of a system of operator inclusions via a fixed point approach and applications to functional-differential inclusions. Zbl 1399.47159
Petruşel, Adrian; Petruşel, Gabriela; Yao, Jen-Chih
2016
Nonlinear dynamics, fixed points and coupled fixed points in generalized gauge spaces with applications to a system of integral equations. Zbl 1418.54026
2015
On iterated function systems consisting of Kannan maps, Reich maps, Chatterjea type maps, and related results. Zbl 1377.28010
2017
Nonexpansive operators as graphic contractions. Zbl 1362.47036
2016
Multivalued Picard operators. Zbl 1243.54039
2012
Selection theorems for multivalued generalized contractions. Zbl 1089.54011
2005
Fibre Picard operators on gauge spaces and applications. Zbl 1176.47042
Rus, I. A.; Petruşel, A.; Şerban, M. A.
2008
Basic problems of the metric fixed point theory and the relevance of a metric fixed point theorem for a multivalued operator. Zbl 1293.47053
Petruşel, A.; Rus, I. A.; Şerban, M. A.
2014
Dynamic systems, fixed points and fractals. Zbl 1026.47035
2003
New fixed point theorems on $$b$$-metric spaces with applications to coupled fixed point theory. Zbl 07240948
Bota, Monica-Felicia; Guran, Liliana; Petruşel, Adrian
2020
Multi-valued graph contraction principle with applications. Zbl 07271707
Petruşel, Adrian; Petruşel, Gabriela; Yao, Jen-Chih
2020
A modified inertial subgradient extragradient method for solving pseudomonotone variational inequalities and common fixed point problems. Zbl 07282700
Ceng, L. C.; Petrusel, A.; Qin, X.; Yao, J. C.
2020
Systems of variational inequalities with hierarchical variational inequality constraints for Lipschitzian pseudocontractions. Zbl 1430.49004
Ceng, Lu-Chuan; Petruşel, Adrian; Yao, Jen-Chih; Yao, Yonghong
2019
Graphic contraction principle and applications. Zbl 07216131
Petruşel, A.; Rus, I. A.
2019
Fixed points for multivalued Suzuki type $$(\theta, \mathscr{R})$$-contraction mapping with applications. Zbl 07067883
Abbas, Mujahid; Iqbal, Hira; Petrusel, Adrian
2019
Applications of graph Kannan mappings to the damped spring-mass system and deformation of an elastic beam. Zbl 1453.05127
Younis, Mudasir; Singh, Deepak; Petruşel, Adrian
2019
Local fixed point results for graphic contractions. Zbl 07133180
2019
Fixed point theory in terms of a metric and of an order relation. Zbl 07262291
2019
Existence and stability results for a system of operator equations via fixed point theory for nonself orbital contractions. Zbl 07098522
Petruşel, Adrian; Petruşel, Gabriela; Yao, Jen-Chih
2019
Coupled fixed point theorems in quasimetric spaces without mixed monotonicity. Zbl 07238228
Petruşel, Adrian; Petruşel, Gabriela; Yao, Jen-Chih
2019
A proximal point algorithm revisited and extended. Zbl 07101215
2019
CQ iterative algorithms for fixed points of nonexpansive mappings and split feasibility problems in Hilbert spaces. Zbl 06876349
Qin, Xiaolong; Petruşel, Adrian; Yao, Jen-Chih
2018
Hybrid viscosity extragradient method for systems of variational inequalities, fixed points of nonexpansive mappings, zero points of accretive operators in Banach spaces. Zbl 1406.49010
Ceng, Lu-Chuan; Petruşel, Adrian; Yao, Jen-Chih; Yao, Yonghong
2018
Fixed point theorems for generalized contractions with applications to coupled fixed point theory. Zbl 06876343
Petruşel, Adrian; Petruşel, Gabriela; Xiao, Yi-Bin; Yao, Jen-Chih
2018
A fixed point theorem and the Ulam stability in generalized dq-metric spaces. Zbl 1402.54037
Brzdęk, Janusz; Karapınar, Erdal; Petruşel, Adrian
2018
Fixed points vs. coupled fixed points. Zbl 1398.54083
2018
Coupled fractals in complete metric spaces. Zbl 1420.54085
2018
On Reich’s strict fixed point theorem for multi-valued operators in complete metric spaces. Zbl 07015073
2018
An improved algorithm based on Korpelevich’s method for variational inequalities in Banach spaces. Zbl 1445.47045
Yao, Yonghong; Petruşel, Adrian; Qin, Xiaolong
2018
Variational analysis concepts in the theory of multi-valued coincidence problems. Zbl 1451.54019
Petruşel, Adrian; Petruşel, Gabriela; Yao, Jen-Chih
2018
Ulam stability for Hilfer type fractional differential inclusions via the weakly Picard operators theory. Zbl 1364.34008
Abbas, Saïd; Benchohra, Mouffak; Petruşel, Adrian
2017
A study of a general system of operator equations in $$b$$-metric spaces via the vector approach in fixed point theory. Zbl 06821148
2017
On some fixed point theorems for multi-valued operators by altering distance technique. Zbl 1437.54037
2017
Order-clustered fixed point theorems and their applications to Pareto equilibrium problems. Zbl 06840718
Xie, Linsen; Li, Jinlu; Petruşel, Adrian; Yao, Jen-Chih
2017
Some remarks on regularized multivalued nonconvex equilibrium problems. Zbl 1399.47155
2017
On iterated function systems consisting of Kannan maps, Reich maps, Chatterjea type maps, and related results. Zbl 1377.28010
2017
Existence results for integral equations and boundary value problems via fixed point theorems for generalized $$F$$-contractions in $$b$$-metric-like spaces. Zbl 1467.54011
Joshi, Vishal; Singh, Deepak; Petruşel, Adrian
2017
Coupled fixed point theorems for symmetric contractions in $$b$$-metric spaces with applications to operator equation systems. Zbl 06633838
Petruşel, A.; Petruşel, G.; Samet, B.; Yao, J.-C.
2016
Multivariate fixed point theorems for contractions and nonexpansive mappings with applications. Zbl 1347.54110
Su, Yongfu; Petruşel, Adrian; Yao, Jen-Chih
2016
The retraction-displacement condition in the theory of fixed point equation with a convergent iterative algorithm. Zbl 1458.54030
Berinde, V.; Petruşel, A.; Rus, I. A.; Şerban, M. A.
2016
A study of the coupled fixed point problem for operators satisfying a max-symmetric condition in $$b$$-metric spaces with applications to a boundary value problem. Zbl 1389.54104
Petruşel, Adrian; Petruşel, Gabriela; Samet, Bessem
2016
Coupled fixed point theorems for symmetric multi-valued contractions in b-metric space with applications to systems of integral inclusions. Zbl 06629848
Petruşel, Adrian; Petruşel, Gabriela; Samet, Bessem; Yao, Jen-Chih
2016
A study of a system of operator inclusions via a fixed point approach and applications to functional-differential inclusions. Zbl 1399.47159
Petruşel, Adrian; Petruşel, Gabriela; Yao, Jen-Chih
2016
Nonexpansive operators as graphic contractions. Zbl 1362.47036
2016
Scalar and vectorial approaches for multi-valued fixed point and multi-valued coupled fixed point problems in $$b$$-metric spaces. Zbl 06668476
Petruşel, Adrian; Petruşel, Gabriela; Samet, Bessem; Yao, Jen-Chih
2016
Contributions to the fixed point theory of diagonal operators. Zbl 1367.47060
2016
Existence and Ulam stability results for Hadamard partial fractional integral inclusions via Picard operators. Zbl 1399.26009
Abbas, Saïd; Albarakati, Wafaa; Benchohra, Mouffak; Petruşel, Adrian
2016
Fixed points, fixed sets and iterated multifunction systems for nonself multivalued operators. Zbl 1328.54047
2015
Coupled fixed point theorems for single-valued operators in $$b$$-metric spaces. Zbl 1347.54069
Bota, Monica-Felicia; Petruşel, Adrian; Petruşel, Gabriela; Samet, Bessem
2015
Self-similar sets and fractals generated by Ćirić type operators. Zbl 1437.54064
2015
Vector-valued metrics in fixed point theory. Zbl 1330.54066
Petruşel, Adrian; Urs, Cristina; Mleşniţe, Oana
2015
Nonlinear dynamics, fixed points and coupled fixed points in generalized gauge spaces with applications to a system of integral equations. Zbl 1418.54026
2015
An endpoint theorem in generalized $$L$$-spaces with applications. Zbl 1311.54034
2015
Approximation methods for triple hierarchical variational inequalities. II. Zbl 1327.49019
Ceng, L.-C.; Ansari, Q. H.; Petruşel, A.; Yao, J.-C.
2015
Existence and uniqueness of fixed point in various abstract spaces and related applications. Zbl 1354.00075
2015
Approximation methods for triple hierarchical variational inequalities. I. Zbl 1311.49018
Ceng, L.-C.; Ansari, Q. H.; Petruşel, A.; Yao, J.-C.
2015
Fixed point theorems for operators in generalized Kasahara spaces. Zbl 1333.47042
2015
Ulam stability for partial fractional differential inclusions via Picard operators theory. Zbl 1324.34029
Abbas, S.; Benchohra, M.; Petrusel, A.
2014
Composite viscosity approximation methods for equilibrium problem, variational inequality and common fixed points. Zbl 1287.49009
Ceng, L. C.; Petruşel, A.; Yao, J. C.
2014
Ćirić type fixed point theorems. Zbl 1389.47140
2014
Basic problems of the metric fixed point theory and the relevance of a metric fixed point theorem for a multivalued operator. Zbl 1293.47053
Petruşel, A.; Rus, I. A.; Şerban, M. A.
2014
A class of functional-integral equations with applications to a bilocal problem. Zbl 1327.45005
2014
Hybrid algorithms for solving variational inequalities, variational inclusions, mixed equilibria, and fixed point problems. Zbl 07021931
Ceng, Lu-Chuan; Petrusel, Adrian; Wong, Mu-Ming; Yao, Jen-Chih
2014
Ciric-type $$\delta$$-contractions in metric spaces endowed with a graph. Zbl 1310.54043
2014
Relaxed extragradient methods with regularization for general system of variational inequalities with constraints of split feasibility and fixed point problems. Zbl 1272.49061
Ceng, L. C.; Petruşel, A.; Yao, J. C.
2013
An abstract point of view on iterative approximation schemes of fixed points for multivalued operators. Zbl 1432.54075
2013
The role of equivalent metrics in fixed point theory. Zbl 1278.54044
2013
Relaxed implicit extragradient-like methods for finding minimum-norm solutions of the split feasibility problem. Zbl 1292.47043
Ceng, Lu-Chuan; Wong, Mu-Ming; Petruşel, Adrian; Yao, Jen-Chih
2013
Vector-valued metrics, fixed points and coupled fixed points for nonlinear operators. Zbl 1314.54040
Petruşel, Adrian; Petruşel, Gabriela; Urs, Cristina
2013
Correction to: “A fixed point theorem for cyclic generalized contractions in metric spaces”. Zbl 1283.54028
2013
A fixed point theorem by altering distance technique in complete metric spaces. Zbl 1299.54079
Amini-Harandi, A.; Petruşel, A.
2013
Common coupled fixed point theorems for $$w^*$$-compatible mappings without mixed monotone property. Zbl 1260.54066
Sintunavarat, Wutiphol; Petruşel, Adrian; Kumam, Poom
2012
Relaxed extragradient-like method for general system of generalized mixed equilibria and fixed point problem. Zbl 1243.49037
2012
Krasnoselskii’s theorem in generalized Banach spaces and application. Zbl 1340.47110
Petre, I. R.; Petrusel, A.
2012
A fixed point theorem for cyclic generalized contractions in metric spaces. Zbl 1274.54108
2012
Existence and Ulam-Hyers stability results for multivalued coincidence problems. Zbl 1289.54137
2012
Multivalued Picard operators. Zbl 1243.54039
2012
Hybrid method for designing explicit hierarchical fixed point approach to monotone variational inequalities. Zbl 1262.49011
Ceng, Lu-Chuan; Lin, Yen-Cherng; Petruşel, Adrian
2012
Multi-step hybrid iterative method for triple hierarchical variational inequality problem with equilibrium problem constraint. Zbl 1257.49008
Ceng, Lu-Chuan; Petruşel, Adrian; Yao, Jen-Chih
2012
Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph. Zbl 1227.54053
2011
Ulam-Hyers stability for operatorial equations and inclusions via nonself operators. Zbl 1246.54049
Petru, T. P.; Petruşel, A.; Yao, J.-C.
2011
Strong convergence of iterative methods by strictly pseudocontractive mappings in Banach spaces. Zbl 1281.47054
2011
Ulam-Hyers stability for operatorial equations. Zbl 1265.54158
Bota-Boriceanu, M. F.; Petruşel, A.
2011
Iterative approximation of fixed points for asymptotically strict pseudocontractive type mappings in the intermediate sense. Zbl 1437.47046
Ceng, Lu-Chuan; Petruşel, Adrian; Yao, Jen-Chih
2011
Strong convergence of implicit viscosity approximation methods for pseudocontractive mappings in Banach spaces. Zbl 1223.49009
Ceng, Lu-Chuan; Petruşel, Adrian; Wong, Mu-Ming; Yu, Su-Jane
2011
Hybrid viscosity iterative approximation of zeros of $$m$$-accretive operators in Banach spaces. Zbl 06074771
Ceng, L. C.; Petruşel, A.; Wong, M. M.
2011
Multivalued fractals in $$b$$-metric spaces. Zbl 1235.54011
Boriceanu, Monica; Bota, Marius; Petruşel, Adrian
2010
Krasnoselski-Mann iterations for hierarchical fixed point problems for a finite family of nonself mappings in Banach spaces. Zbl 1210.47094
Ceng, L. C.; Petruşel, A.
2010
Fixed point theorems on spaces endowed with vector-valued metrics. Zbl 1197.54061
2010
The theory of a metric fixed point theorem for multivalued operators. Zbl 1225.54026
2010
A class of abstract Volterra equations, via weakly Picard operators technique. Zbl 1197.47080
Şerban, M. A.; Rus, I. A.; Petruşel, A.
2010
Approximation of fixed common points and variational solutions for one-parameter family of Lipschitz pseudocontractions. Zbl 1203.49013
Ceng, Lu-Chuan; Petruşel, Adrian; Szentesi, Silviu; Yao, Jen-Chih
2010
Strong convergence theorem for a generalized equilibrium problem and a pseudocontractive mapping in a Hilbert space. Zbl 1220.49004
Ceng, Lu-Chuan; Petruşel, Adrian; Wong, Mu-Ming
2010
Fixed point theory for a new type of contractive multivalued operators. Zbl 1213.54068
2009
Iterative approaches to solving equilibrium problems and fixed point problems of infinitely many nonexpansive mappings. Zbl 1188.90256
Ceng, L. C.; Petruşel, A.; Yao, J. C.
2009
Iterated function systems and well-posedness. Zbl 1198.52014
Llorens-Fuster, Enrique; Petruşel, Adrian; Yao, Jen-Chih
2009
Strong convergence of modified implicit iterative algorithms with perturbed mappings for continuous pseudocontractive mappings. Zbl 1168.65350
Ceng, Lu-Chuan; Petruşel, Adrian; Yao, Jen-Chih
2009
Fixed points for non-self operators and domain invariance theorems. Zbl 1183.47052
2009
Fixed points for multivalued operators on a set endowed with vector-valued metrics and applications. Zbl 1194.54056
Bucur, Amelia; Guran, Liliana; Petruşel, Adrian
2009
An extragradient iterative scheme by viscosity approximation methods for fixed point problems and variational inequality problems. Zbl 1195.49017
2009
Two extragradient approximation methods for variational inequalities and fixed point problems of strict pseudo-contractions. Zbl 1170.49006
Ceng, L. C.; Petruşel, A.; Lee, C.; Wong, M. M.
2009
Weak convergence theorem by a modified extragradient method for nonexpansive mappings and monotone mappings. Zbl 1169.49005
Ceng, L. C.; Huang, S.; Petruşel, A.
2009
Viscosity approximations by generalized contractions for resolvents of accretive operators in Banach spaces. Zbl 1223.47090
2009
Existence and data dependence for multivalued weakly Ćirić-contractive operators. Zbl 1189.54030
2009
Fixed point theorems for generalized contractions in ordered metric spaces. Zbl 1142.47033
2008
Fixed point theory. Zbl 1171.54034
Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela
2008
Viscosity approximation to common fixed points of families of nonexpansive mappings with generalized contractions mappings. Zbl 1142.47329
Petruşel, A.; Yao, J.-C.
2008
Multivalued fractals and generalized multivalued contractions. Zbl 1131.28005
2008
Fixed points and homotopy results for Ćirić-type multivalued operators on a set with two metrics. Zbl 1153.47047
Lazăr, Tania; O&rsquo;Regan, Donal; Petruşel, Adrian
2008
...and 44 more Documents
all top 5