Ilea, Veronica; Otrocol, Diana; Rus, Ioan A.; Şerban, Marcel Adrian Applications of fibre contraction principle to some classes of functional integral equations. (English) Zbl 07606928 Fixed Point Theory 23, No. 1, 279-292 (2022). MSC: 47H10 45D05 47H09 54H25 PDFBibTeX XMLCite \textit{V. Ilea} et al., Fixed Point Theory 23, No. 1, 279--292 (2022; Zbl 07606928) Full Text: Link
Petruşel, Adrian; Rus, Ioan A. Fixed point equations with abstract Volterra operators on spaces of functions of several variables. (English) Zbl 1507.47107 Appl. Anal. Discrete Math. 16, No. 1, 189-201 (2022). Reviewer: Sergei V. Rogosin (Minsk) MSC: 47H10 45N05 47J26 35L70 PDFBibTeX XMLCite \textit{A. Petruşel} and \textit{I. A. Rus}, Appl. Anal. Discrete Math. 16, No. 1, 189--201 (2022; Zbl 1507.47107) Full Text: DOI
Filip, Alexandru-Darius; Rus, Ioan A. On a Fredholm-Volterra integral equation. (English) Zbl 1513.45002 Stud. Univ. Babeș-Bolyai, Math. 66, No. 3, 567-573 (2021). MSC: 45B05 45D05 PDFBibTeX XMLCite \textit{A.-D. Filip} and \textit{I. A. Rus}, Stud. Univ. Babeș-Bolyai, Math. 66, No. 3, 567--573 (2021; Zbl 1513.45002) Full Text: DOI
Petrușel, Adrian; Rus, Ioan A.; Șerban, Marcel-Adrian Some variants of fibre contraction principle and applications: from existence to the convergence of successive approximations. (English) Zbl 1516.54049 Fixed Point Theory 22, No. 2, 795-808 (2021). Reviewer: Erdal Karapinar (Taichung) MSC: 54H25 54E40 45N05 34G20 PDFBibTeX XMLCite \textit{A. Petrușel} et al., Fixed Point Theory 22, No. 2, 795--808 (2021; Zbl 1516.54049) Full Text: Link
Petruşel, Adrian; Rus, Ioan A. Fixed point theory in terms of a metric and of an order relation. (English) Zbl 07262291 Fixed Point Theory 20, No. 2, 601-622 (2019). MSC: 47H10 34G20 45N05 06A06 47H09 47H07 54E35 54H25 PDFBibTeX XMLCite \textit{A. Petruşel} and \textit{I. A. Rus}, Fixed Point Theory 20, No. 2, 601--622 (2019; Zbl 07262291) Full Text: Link
Petruşel, A.; Rus, I. A. Graphic contraction principle and applications. (English) Zbl 07216131 Rassias, Themistocles M. (ed.) et al., Mathematical analysis and applications. Cham: Springer. Springer Optim. Appl. 154, 411-432 (2019). MSC: 47H10 54H25 47H09 34D10 45Gxx 45M10 PDFBibTeX XMLCite \textit{A. Petruşel} and \textit{I. A. Rus}, Springer Optim. Appl. 154, 411--432 (2019; Zbl 07216131) Full Text: DOI
Petruşel, Adrian; Rus, Ioan A. Stability of Picard operators under operator perturbations. (English) Zbl 1524.54124 An. Univ. Vest Timiș., Ser. Mat.-Inform. 56, No. 2, 3-12 (2018). MSC: 54H25 54E40 54E50 47H09 34D10 45M10 PDFBibTeX XMLCite \textit{A. Petruşel} and \textit{I. A. Rus}, An. Univ. Vest Timiș., Ser. Mat.-Inform. 56, No. 2, 3--12 (2018; Zbl 1524.54124) Full Text: DOI
Petruşel, Adrian; Rus, Ioan A. A class of functional-integral equations via Picard operator technique. (English) Zbl 1438.45006 Ann. Acad. Rom. Sci., Math. Appl. 10, No. 1, 15-24 (2018). MSC: 45G10 47H10 47H30 45M10 45N05 PDFBibTeX XMLCite \textit{A. Petruşel} and \textit{I. A. Rus}, Ann. Acad. Rom. Sci., Math. Appl. 10, No. 1, 15--24 (2018; Zbl 1438.45006) Full Text: Link
Rus, Ioan A. Relevant classes of weakly Picard operators. (English) Zbl 1524.54128 An. Univ. Vest Timiș., Ser. Mat.-Inform. 54, No. 2, 131-147 (2016). MSC: 54H25 47J10 65J15 45N05 00A27 PDFBibTeX XMLCite \textit{I. A. Rus}, An. Univ. Vest Timiș., Ser. Mat.-Inform. 54, No. 2, 131--147 (2016; Zbl 1524.54128) Full Text: DOI
Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian Nonexpansive operators as graphic contractions. (English) Zbl 1362.47036 J. Nonlinear Convex Anal. 17, No. 7, 1409-1415 (2016). MSC: 47H09 47H10 45G10 PDFBibTeX XMLCite \textit{A. Petruşel} et al., J. Nonlinear Convex Anal. 17, No. 7, 1409--1415 (2016; Zbl 1362.47036) Full Text: Link
Rus, Ioan A.; Şerban, Marcel-Adrian Some existence results for a system of operatorial equations. (English) Zbl 1389.47146 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 57(105), No. 1, 101-108 (2014). MSC: 47J05 45G15 PDFBibTeX XMLCite \textit{I. A. Rus} and \textit{M.-A. Şerban}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 57(105), No. 1, 101--108 (2014; Zbl 1389.47146)
Petruşel, Adrian; Rus, Ioan A. A class of functional-integral equations with applications to a bilocal problem. (English) Zbl 1327.45005 Rassias, Themistocles M. (ed.) et al., Topics in mathematical analysis and applications. Cham: Springer (ISBN 978-3-319-06553-3/hbk; 978-3-319-06554-0/ebook). Springer Optimization and Its Applications 94, 609-631 (2014). Reviewer: Alexander N. Tynda (Penza) MSC: 45G15 45M10 34B15 45B05 PDFBibTeX XMLCite \textit{A. Petruşel} and \textit{I. A. Rus}, Springer Optim. Appl. 94, 609--631 (2014; Zbl 1327.45005) Full Text: DOI
Rus, Ioan A.; Şerban, Marcel-Adrian Basic problems of the metric fixed point theory and the relevance of a metric fixed point theorem. (English) Zbl 1313.54108 Carpathian J. Math. 29, No. 2, 239-258 (2013). Reviewer: Dariusz Bugajewski (Poznan) MSC: 54H25 47H09 47J25 34A40 34D20 35B35 45Gxx 37C75 54-02 PDFBibTeX XMLCite \textit{I. A. Rus} and \textit{M.-A. Şerban}, Carpathian J. Math. 29, No. 2, 239--258 (2013; Zbl 1313.54108)
Rus, Ioan A.; Serban, Marcel-Adrian; Trif, Damian Step method for some integral equations from biomathematics. (English) Zbl 1249.65288 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 54(102), No. 2, 167-183 (2011). Reviewer: Adrian Petruşel (Cluj-Napoca) MSC: 65R20 45G10 45N05 47N20 92B05 PDFBibTeX XMLCite \textit{I. A. Rus} et al., Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 54(102), No. 2, 167--183 (2011; Zbl 1249.65288)
Rus, Ioan A.; Şerban, Marcel-Adrian Operators on infinite dimensional Cartesian product. (English) Zbl 1223.47065 An. Univ. Vest Timiș., Ser. Mat.-Inform. 48, No. 1-2, 253-263 (2010). Reviewer: Mircea Balaj (Oradea) MSC: 47H10 54H25 45G15 PDFBibTeX XMLCite \textit{I. A. Rus} and \textit{M.-A. Şerban}, An. Univ. Vest Timiș., Ser. Mat.-Inform. 48, No. 1--2, 253--263 (2010; Zbl 1223.47065)
Rus, Ioan A. Some nonlinear functional differential and integral equations, via weakly Picard operator theory: a survey. (English) Zbl 1217.47145 Carpathian J. Math. 26, No. 2, 230-258 (2010). Reviewer: Adrian Petruşel (Cluj-Napoca) MSC: 47N20 47H10 45N05 PDFBibTeX XMLCite \textit{I. A. Rus}, Carpathian J. Math. 26, No. 2, 230--258 (2010; Zbl 1217.47145)
Şerban, M. A.; Rus, I. A.; Petruşel, A. A class of abstract Volterra equations, via weakly Picard operators technique. (English) Zbl 1197.47080 Math. Inequal. Appl. 13, No. 2, 255-269 (2010). MSC: 47N20 47H10 45N05 45D05 45M10 45M99 PDFBibTeX XMLCite \textit{M. A. Şerban} et al., Math. Inequal. Appl. 13, No. 2, 255--269 (2010; Zbl 1197.47080) Full Text: DOI
Rus, Ioan A. Gronwall Lemma approach to the hyers-Ulam-Rassias stability of an integral equation. (English) Zbl 1185.45015 Pardalos, Panos M. (ed.) et al., Nonlinear analysis and variational problems. In Honor of George Isac. Berlin: Springer (ISBN 978-1-4419-0157-6/hbk; 978-1-4419-0158-3/ebook). Springer Optimization and Its Applications 35, 147-152 (2010). MSC: 45M10 45B05 45D05 45G10 PDFBibTeX XMLCite \textit{I. A. Rus}, Springer Optim. Appl. 35, 147--152 (2010; Zbl 1185.45015) Full Text: DOI
Rus, Ioan A. Remarks on Ulam stability of the operatorial equations. (English) Zbl 1204.47071 Fixed Point Theory 10, No. 2, 305-320 (2009). MSC: 47H10 54H25 45N05 39A30 PDFBibTeX XMLCite \textit{I. A. Rus}, Fixed Point Theory 10, No. 2, 305--320 (2009; Zbl 1204.47071)
Lungu, Nicolaie; Rus, Ioan A. On a functional Volterra-Fredholm integral equation, via Picard operators. (English) Zbl 1195.45035 J. Math. Inequal. 3, No. 4, 519-527 (2009). Reviewer: Ioan I. Vrabie (Iaşi) MSC: 45N05 45G10 47H10 47N20 PDFBibTeX XMLCite \textit{N. Lungu} and \textit{I. A. Rus}, J. Math. Inequal. 3, No. 4, 519--527 (2009; Zbl 1195.45035) Full Text: DOI Link
Rus, Ioan A. Gronwall lemmas: ten open problems. (English) Zbl 1223.47064 Sci. Math. Jpn. 70, No. 2, 221-228 (2009). Reviewer: Yongxiang Li (Lanzhou) MSC: 47H10 54H25 45G10 34A40 PDFBibTeX XMLCite \textit{I. A. Rus}, Sci. Math. Jpn. 70, No. 2, 221--228 (2009; Zbl 1223.47064) Full Text: Link
Lungu, Nicolaie; Rus, Ioan A. Ulam stability of a nonlinear hyperbolic partial differential equation. (English) Zbl 1249.35219 Carpathian J. Math. 24, No. 3, 403-408 (2008). MSC: 35L70 45M10 47H10 PDFBibTeX XMLCite \textit{N. Lungu} and \textit{I. A. Rus}, Carpathian J. Math. 24, No. 3, 403--408 (2008; Zbl 1249.35219)
Rus, Ioan A.; Serban, Marcel-Adrian Some generalizations of a Cauchy lemma and applications. (English) Zbl 1224.54104 Cobzaş, Ştefan (ed.), Topics in mathematics, computer science and philosophy. A Festschrift for Wolfgang W. Breckner on his 65th anniversary. Cluj-Napoca: Cluj University Press (ISBN 978-973-610-672-9). 173-181 (2008). Reviewer: Mircea Balaj (Oradea) MSC: 54H25 45G15 26A18 40A05 PDFBibTeX XMLCite \textit{I. A. Rus} and \textit{M.-A. Serban}, in: Topics in mathematics, computer science and philosophy. A Festschrift for Wolfgang W. Breckner on his 65th anniversary. Cluj-Napoca: Cluj University Press. 173--181 (2008; Zbl 1224.54104)
Rus, I. A.; Petruşel, A.; Şerban, M. A. Fibre Picard operators on gauge spaces and applications. (English) Zbl 1176.47042 Z. Anal. Anwend. 27, No. 4, 407-423 (2008). Reviewer: Peter Zabreiko (Minsk) MSC: 47H10 54H25 45N05 47N20 PDFBibTeX XMLCite \textit{I. A. Rus} et al., Z. Anal. Anwend. 27, No. 4, 407--423 (2008; Zbl 1176.47042) Full Text: DOI Link
Dobriţoiu, M.; Rus, I. A.; Şerban, M. A. An integral equation arising from infectious diseases, via Picard operator. (English) Zbl 1164.45303 Stud. Univ. Babeș-Bolyai, Math. 52, No. 3, 81-94 (2007). MSC: 45G05 47H10 92C50 PDFBibTeX XMLCite \textit{M. Dobriţoiu} et al., Stud. Univ. Babeș-Bolyai, Math. 52, No. 3, 81--94 (2007; Zbl 1164.45303)
Rus, Ioan A. Data dependence of the fixed points in a set with two metrics. (English) Zbl 1136.54028 Fixed Point Theory 8, No. 1, 115-123 (2007). Reviewer: S. P. Singh (London, Ontario) MSC: 54H25 47H10 45G10 PDFBibTeX XMLCite \textit{I. A. Rus}, Fixed Point Theory 8, No. 1, 115--123 (2007; Zbl 1136.54028)
Rus, Ioan A.; Mureşan, Anton S.; Mureşan, Viorica Weakly Picard operators on a set with two metrics. (English) Zbl 1112.47306 Fixed Point Theory 6, No. 2, 323-331 (2005). Reviewer: Palaniappan Vijayaraju (Chennai) MSC: 47H10 47J20 45G10 47N20 PDFBibTeX XMLCite \textit{I. A. Rus} et al., Fixed Point Theory 6, No. 2, 323--331 (2005; Zbl 1112.47306)
Rus, Ioan A. Some applications of weakly Picard operators. (English) Zbl 1247.47084 Stud. Univ. Babeș-Bolyai, Math. 48, No. 1, 101-108 (2003). MSC: 47N20 39B12 45N05 41A10 PDFBibTeX XMLCite \textit{I. A. Rus}, Stud. Univ. Babeș-Bolyai, Math. 48, No. 1, 101--108 (2003; Zbl 1247.47084)
Rus, Ioan A. Picard operators and applications. (English) Zbl 1031.47035 Sci. Math. Jpn. 58, No. 1, 191-219 (2003). Reviewer: Klaudiusz Wojcik (Kraków) MSC: 47H10 47J20 47-02 34A40 34B30 34K10 35B30 35J65 41A10 45N05 PDFBibTeX XMLCite \textit{I. A. Rus}, Sci. Math. Jpn. 58, No. 1, 191--219 (2003; Zbl 1031.47035)
Rus, Ioan A. A class of nonlinear functional-integral equations via weakly Picard operators. (English) Zbl 1072.47526 An. Univ. Craiova, Ser. Mat. Inf. 28, 10-15 (2001). MSC: 47N20 47J05 47H10 45D05 45N05 PDFBibTeX XMLCite \textit{I. A. Rus}, An. Univ. Craiova, Ser. Mat. Inf. 28, 10--15 (2001; Zbl 1072.47526)
Rus, Ioan A. Weakly Picard operators and applications. (English) Zbl 1035.47044 Semin. Fixed Point Theory Cluj-Napoca 2, 41-58 (2001). Reviewer: Peter Zabreiko (Minsk) MSC: 47H10 47N20 35J65 45N05 PDFBibTeX XMLCite \textit{I. A. Rus}, Semin. Fixed Point Theory Cluj-Napoca 2, 41--58 (2001; Zbl 1035.47044)
Rus, Ioan A. Who authored the first integral equations book in the world? (English) Zbl 1031.01010 Semin. Fixed Point Theory Cluj-Napoca 1, 81-86 (2000). Reviewer: Ivor Grattan-Guinness (Bengeo/Herts) MSC: 01A60 45-03 PDFBibTeX XMLCite \textit{I. A. Rus}, Semin. Fixed Point Theory Cluj-Napoca 1, 81--86 (2000; Zbl 1031.01010)
Rus, Ioan A. Fiber Picard operators theorem and applications. (English) Zbl 1027.47515 Stud. Univ. Babeș-Bolyai, Math. 44, No. 3, 89-97 (1999). MSC: 47H10 45G15 PDFBibTeX XMLCite \textit{I. A. Rus}, Stud. Univ. Babeș-Bolyai, Math. 44, No. 3, 89--97 (1999; Zbl 1027.47515)
Rus, Ioan A. A fiber generalized contraction theorem and applications. (English) Zbl 1027.47514 Mathematica 41(64), No. 1, 85-90 (1999). MSC: 47H10 45B05 45P05 PDFBibTeX XMLCite \textit{I. A. Rus}, Mathematica 41(64), No. 1, 85--90 (1999; Zbl 1027.47514)
Rus, Ioan A. Fiber Picard operators on generalized metric spaces and an application. (English) Zbl 0979.47043 Scr. Sci. Math. 1, No. 2, 355-363 (1999). Reviewer: Salvatore Sessa (Napoli) MSC: 47H10 54H25 45G15 PDFBibTeX XMLCite \textit{I. A. Rus}, Scr. Sci. Math. 1, No. 2, 355--363 (1999; Zbl 0979.47043)
Rus, Ioan A. Differential equations, integral equations and dynamical systems. (Ecuaţii diferenţiale, ecuaţii integrale şi sisteme dinamice.) (Romanian) Zbl 0922.34001 Cluj-Napoca: Transilvania Press. 229 p. (1996). Reviewer: Iulian Coroian (Baia Mare) MSC: 34-01 70J25 34A30 34A34 34B05 34B15 34B27 34C10 34D20 35F05 35F20 45A05 45B05 45D05 45F05 PDFBibTeX XMLCite \textit{I. A. Rus}, Ecuaţii diferenţiale, ecuaţii integrale şi sisteme dinamice (Romanian). Cluj-Napoca: Transilvania Press (1996; Zbl 0922.34001)
Rus, Ioan A. A delay integral equation from biomathematics. (English) Zbl 0749.45004 Prepr., ”Babeș-Bolyai” Univ., Fac. Math. Phys., Res. Semin. 1989, No. 3, 87-90 (1989). MSC: 45G10 92D25 92D30 PDFBibTeX XMLCite \textit{I. A. Rus}, Prepr., ``Babeș-Bolyai'' Univ., Fac. Math. Phys., Res. Semin. 1989, No. 3, 87--90 (1989; Zbl 0749.45004)
Rus, Ioan A. On the problem of Darboux-Ionescu. (English) Zbl 0488.35059 Prepr., ”Babes-Bolyai” Univ., Fac. Math., Res. Semin. 1, 32 p. (1981). MSC: 35L70 35L15 45G10 35B30 35A05 PDFBibTeX XMLCite \textit{I. A. Rus}, Prepr., ``Babes-Bolyai'' Univ., Fac. Math., Res. Semin. 1, 32 p. (1981; Zbl 0488.35059)