Ghadampour, Mostafa; Soori, Ebrahim; Agarwal, Ravi P.; O’Regan, Donal Strong convergence theorem obtained by a generalized projections method for solving an equilibrium problem and fixed point problems. (English) Zbl 07729086 Numer. Funct. Anal. Optim. 44, No. 11, 1153-1174 (2023). MSC: 47H09 47H10 PDFBibTeX XMLCite \textit{M. Ghadampour} et al., Numer. Funct. Anal. Optim. 44, No. 11, 1153--1174 (2023; Zbl 07729086) Full Text: DOI
Abass, H. A.; Ugwunnadi, G. C.; Narain, O. K.; Darvish, V. Inertial extragradient method for solving variational inequality and fixed point problems of a Bregman demigeneralized mapping in a reflexive Banach spaces. (English) Zbl 1507.47111 Numer. Funct. Anal. Optim. 43, No. 8, 933-960 (2022). MSC: 47J25 47H06 47H09 65K15 PDFBibTeX XMLCite \textit{H. A. Abass} et al., Numer. Funct. Anal. Optim. 43, No. 8, 933--960 (2022; Zbl 1507.47111) Full Text: DOI
Djafari Rouhani, Behzad; Khatibzadeh, Hadi; Mohebbi, Vahid Asymptotic behaviour of \(\phi\)-nonexpansive sequences and mappings in Banach spaces. (English) Zbl 1501.47096 Numer. Funct. Anal. Optim. 43, No. 7, 860-875 (2022). MSC: 47H25 47H09 47J26 47H20 47H30 47H05 PDFBibTeX XMLCite \textit{B. Djafari Rouhani} et al., Numer. Funct. Anal. Optim. 43, No. 7, 860--875 (2022; Zbl 1501.47096) Full Text: DOI
Zaslavski, Alexander J. Asymptotic behavior of iterates of a generic cyclical nonexpansive mapping. (English) Zbl 07510815 Numer. Funct. Anal. Optim. 43, No. 1, 116-125 (2022). MSC: 47H04 47H09 47H10 54E50 54E52 PDFBibTeX XMLCite \textit{A. J. Zaslavski}, Numer. Funct. Anal. Optim. 43, No. 1, 116--125 (2022; Zbl 07510815) Full Text: DOI
Reich, Simeon; Tuyen, Truong Minh; Sunthrayuth, Pongsakorn; Cholamjiak, Prasit Two new inertial algorithms for solving variational inequalities in reflexive Banach spaces. (English) Zbl 07505479 Numer. Funct. Anal. Optim. 42, No. 16, Part 4, 1954-1984 (2021). MSC: 47H09 47H10 47J25 47J05 PDFBibTeX XMLCite \textit{S. Reich} et al., Numer. Funct. Anal. Optim. 42, No. 16, Part 4, 1954--1984 (2021; Zbl 07505479) Full Text: DOI
Reich, Simeon; Zaslavski, Alexander J. Fixed point and convergence results for nonexpansive set-valued mappings. (English) Zbl 1496.54059 Numer. Funct. Anal. Optim. 42, No. 15, Part 3, 1855-1863 (2021). MSC: 54H25 54E40 54C60 54E50 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, Numer. Funct. Anal. Optim. 42, No. 15, Part 3, 1855--1863 (2021; Zbl 1496.54059) Full Text: DOI
Kim, Jong Kyu; Tuyen, Truong Minh; Ha, Mai Thi Ngoc Two projection methods for solving the split common fixed point problem with multiple output sets in Hilbert spaces. (English) Zbl 1494.47122 Numer. Funct. Anal. Optim. 42, No. 8, 973-988 (2021). MSC: 47J26 47H09 49J53 90C25 PDFBibTeX XMLCite \textit{J. K. Kim} et al., Numer. Funct. Anal. Optim. 42, No. 8, 973--988 (2021; Zbl 1494.47122) Full Text: DOI
Gupta, Anuradha; Rohilla, Manu Inexact infinite products of weak quasi-contraction mappings in \(b\)-metric spaces. (English) Zbl 1516.54028 Numer. Funct. Anal. Optim. 41, No. 12, 1528-1547 (2020). Reviewer: Zoran D. Mitrović (Banja Luka) MSC: 54H25 54E40 65J15 47H25 PDFBibTeX XMLCite \textit{A. Gupta} and \textit{M. Rohilla}, Numer. Funct. Anal. Optim. 41, No. 12, 1528--1547 (2020; Zbl 1516.54028) Full Text: DOI arXiv
Djafari Rouhani, Behzad; Mohebbi, Vahid Proximal point method for quasi-equilibrium problems in Banach spaces. (English) Zbl 1450.90026 Numer. Funct. Anal. Optim. 41, No. 9, 1007-1026 (2020). MSC: 90C25 90C30 90C48 PDFBibTeX XMLCite \textit{B. Djafari Rouhani} and \textit{V. Mohebbi}, Numer. Funct. Anal. Optim. 41, No. 9, 1007--1026 (2020; Zbl 1450.90026) Full Text: DOI
Gazmeh, Hamid; Naraghirad, Eskandar Strong convergence theorems for Bregman demigeneralized mappings in Banach spaces with applications. (English) Zbl 1442.47058 Numer. Funct. Anal. Optim. 41, No. 6, 730-757 (2020). Reviewer: Simeon Reich (Haifa) MSC: 47J26 47H05 PDFBibTeX XMLCite \textit{H. Gazmeh} and \textit{E. Naraghirad}, Numer. Funct. Anal. Optim. 41, No. 6, 730--757 (2020; Zbl 1442.47058) Full Text: DOI
Ogbuisi, Ferdinard Udochukwu; Izuchukwu, Chinedu Approximating a zero of sum of two monotone operators which solves a fixed point problem in reflexive Banach spaces. (English) Zbl 1513.47125 Numer. Funct. Anal. Optim. 41, No. 3, 322-343 (2020). MSC: 47J25 47J22 47H09 49J40 PDFBibTeX XMLCite \textit{F. U. Ogbuisi} and \textit{C. Izuchukwu}, Numer. Funct. Anal. Optim. 41, No. 3, 322--343 (2020; Zbl 1513.47125) Full Text: DOI
Iusem, Alfredo N.; Mohebbi, Vahid Extragradient methods for vector equilibrium problems in Banach spaces. (English) Zbl 1412.90108 Numer. Funct. Anal. Optim. 40, No. 9, 993-1022 (2019). MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{V. Mohebbi}, Numer. Funct. Anal. Optim. 40, No. 9, 993--1022 (2019; Zbl 1412.90108) Full Text: DOI
Hermer, Neal; Luke, D. Russell; Sturm, Anja Random function iterations for consistent stochastic feasibility. (English) Zbl 1411.60107 Numer. Funct. Anal. Optim. 40, No. 4, 386-420 (2019). MSC: 60J05 52A22 49J55 49J53 65K05 PDFBibTeX XMLCite \textit{N. Hermer} et al., Numer. Funct. Anal. Optim. 40, No. 4, 386--420 (2019; Zbl 1411.60107) Full Text: DOI arXiv
Chuang, Chih-Sheng Algorithms and convergence theorems for mixed equilibrium problems in Hilbert spaces. (English) Zbl 07046428 Numer. Funct. Anal. Optim. 40, No. 8, 953-979 (2019). MSC: 47H09 47H10 PDFBibTeX XMLCite \textit{C.-S. Chuang}, Numer. Funct. Anal. Optim. 40, No. 8, 953--979 (2019; Zbl 07046428) Full Text: DOI
Chuang, Chih-Sheng Hybrid Moreau’s proximal algorithms and convergence theorems for minimization problems in Hilbert spaces with applications. (English) Zbl 1418.47006 Numer. Funct. Anal. Optim. 39, No. 16, 1806-1832 (2018). MSC: 47J25 47H09 49J40 65K10 PDFBibTeX XMLCite \textit{C.-S. Chuang}, Numer. Funct. Anal. Optim. 39, No. 16, 1806--1832 (2018; Zbl 1418.47006) Full Text: DOI
Yu, Zenn-Tsun; Chuang, Chih Sheng; Lin, Lai-Jiu Convergence theorem for variational inequality in Hilbert spaces with applications. (English) Zbl 1479.47080 Numer. Funct. Anal. Optim. 39, No. 8, 865-893 (2018). MSC: 47J25 47H09 47J20 49J30 90C33 PDFBibTeX XMLCite \textit{Z.-T. Yu} et al., Numer. Funct. Anal. Optim. 39, No. 8, 865--893 (2018; Zbl 1479.47080) Full Text: DOI
Shehu, Yekini Strong convergence theorem for multiple sets split feasibility problems in Banach spaces. (English) Zbl 1351.49043 Numer. Funct. Anal. Optim. 37, No. 8, 1021-1036 (2016). MSC: 49M37 49J53 46N10 65K10 90C25 PDFBibTeX XMLCite \textit{Y. Shehu}, Numer. Funct. Anal. Optim. 37, No. 8, 1021--1036 (2016; Zbl 1351.49043) Full Text: DOI
Guan, Wei-Bo; Song, Wen The generalized forward-backward splitting method for the minimization of the sum of two functions in Banach spaces. (English) Zbl 1328.49029 Numer. Funct. Anal. Optim. 36, No. 7, 867-886 (2015). MSC: 49M27 49J27 49J52 46N10 65K10 65J22 PDFBibTeX XMLCite \textit{W.-B. Guan} and \textit{W. Song}, Numer. Funct. Anal. Optim. 36, No. 7, 867--886 (2015; Zbl 1328.49029) Full Text: DOI
Pham Ky Anh; Cao Van Chung Parallel hybrid methods for a finite family of relatively nonexpansive mappings. (English) Zbl 1481.47105 Numer. Funct. Anal. Optim. 35, No. 6, 649-664 (2014). MSC: 47J26 47H09 65J15 65Y05 PDFBibTeX XMLCite \textit{Pham Ky Anh} and \textit{Cao Van Chung}, Numer. Funct. Anal. Optim. 35, No. 6, 649--664 (2014; Zbl 1481.47105) Full Text: DOI
Homaeipour, S.; Razani, A. Convergence theorems for equilibrium problems and relatively nonexpansive multi-valued mappings in Banach spaces. (English) Zbl 1263.47078 Numer. Funct. Anal. Optim. 33, No. 12, 1386-1398 (2012). Reviewer: Vasile Berinde (Baia Mare) MSC: 47J25 47H09 47H10 PDFBibTeX XMLCite \textit{S. Homaeipour} and \textit{A. Razani}, Numer. Funct. Anal. Optim. 33, No. 12, 1386--1398 (2012; Zbl 1263.47078) Full Text: DOI
Hernández-Ramos, Luis M.; Escalante, René; Raydan, Marcos Unconstrained optimization techniques for the acceleration of alternating projection methods. (English) Zbl 1232.90320 Numer. Funct. Anal. Optim. 32, No. 10, 1041-1066 (2011). MSC: 90C25 49M05 15A06 65H10 PDFBibTeX XMLCite \textit{L. M. Hernández-Ramos} et al., Numer. Funct. Anal. Optim. 32, No. 10, 1041--1066 (2011; Zbl 1232.90320) Full Text: DOI
Qin, Xiaolong; Agarwal, Ravi P. Shrinking projection methods for a pair of asymptotically quasi-\(\varphi \)-nonexpansive mappings. (English) Zbl 1207.47074 Numer. Funct. Anal. Optim. 31, No. 9, 1072-1089 (2010). Reviewer: Mădălina Păcurar (Cluj-Napoca) MSC: 47J25 47H09 PDFBibTeX XMLCite \textit{X. Qin} and \textit{R. P. Agarwal}, Numer. Funct. Anal. Optim. 31, No. 9, 1072--1089 (2010; Zbl 1207.47074) Full Text: DOI
Mashreghi, Javad; Nasri, Mostafa Strong convergence of an inexact proximal point algorithm for equilibrium problems in Banach spaces. (English) Zbl 1205.90296 Numer. Funct. Anal. Optim. 31, No. 9, 1053-1071 (2010). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 90C48 47J05 PDFBibTeX XMLCite \textit{J. Mashreghi} and \textit{M. Nasri}, Numer. Funct. Anal. Optim. 31, No. 9, 1053--1071 (2010; Zbl 1205.90296) Full Text: DOI
Reich, Simeon; Sabach, Shoham Two strong convergence theorems for a proximal method in reflexive Banach spaces. (English) Zbl 1200.47085 Numer. Funct. Anal. Optim. 31, No. 1, 22-44 (2010). Reviewer: Vasile Berinde (Baia Mare) MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{S. Reich} and \textit{S. Sabach}, Numer. Funct. Anal. Optim. 31, No. 1, 22--44 (2010; Zbl 1200.47085) Full Text: DOI
Pustylnik, Evgeniy; Reich, Simeon; Zaslavski, Alexander J. Inexact infinite products of nonexpansive mappings. (English) Zbl 1175.47048 Numer. Funct. Anal. Optim. 30, No. 5-6, 632-645 (2009). Reviewer: Hemant Kumar Nashine (Raipur) MSC: 47H09 65J15 47H10 54E50 47J25 47H25 47N60 PDFBibTeX XMLCite \textit{E. Pustylnik} et al., Numer. Funct. Anal. Optim. 30, No. 5--6, 632--645 (2009; Zbl 1175.47048) Full Text: DOI
Ibaraki, Takanori; Takahashi, Wataru Block iterative methods for a finite family of generalized nonexpansive mappings in Banach spaces. (English) Zbl 1146.47039 Numer. Funct. Anal. Optim. 29, No. 3-4, 362-375 (2008). Reviewer: Peter Zabreiko (Minsk) MSC: 47J25 47H09 47H10 41A36 PDFBibTeX XMLCite \textit{T. Ibaraki} and \textit{W. Takahashi}, Numer. Funct. Anal. Optim. 29, No. 3--4, 362--375 (2008; Zbl 1146.47039) Full Text: DOI
Iusem, Alfredo N.; Nasri, Mostafa Inexact proximal point methods for equilibrium problems in Banach spaces. (English) Zbl 1144.65041 Numer. Funct. Anal. Optim. 28, No. 11-12, 1279-1308 (2007). Reviewer: Tran Nhu Pham (Hanoi) MSC: 65K05 90C48 90C30 PDFBibTeX XMLCite \textit{A. N. Iusem} and \textit{M. Nasri}, Numer. Funct. Anal. Optim. 28, No. 11--12, 1279--1308 (2007; Zbl 1144.65041) Full Text: DOI
Agarwal, Ravi P.; Cho, Yeol Je; Qin, Xiaolong Generalized projection algorithms for nonlinear operators. (English) Zbl 1132.47048 Numer. Funct. Anal. Optimization 28, No. 11-12, 1197-1215 (2007). Reviewer: Billy E. Rhoades (Bloomington) MSC: 47J25 47H05 47H10 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Numer. Funct. Anal. Optim. 28, No. 11--12, 1197--1215 (2007; Zbl 1132.47048) Full Text: DOI
Crombez, G. A hierarchical presentation of operators with fixed points on Hilbert spaces. (English) Zbl 1100.47044 Numer. Funct. Anal. Optimization 27, No. 3-4, 259-277 (2006). Reviewer: Satit Saejung (Khon Kaen) MSC: 47H10 47H09 47J25 47J20 49Mxx 65J05 PDFBibTeX XMLCite \textit{G. Crombez}, Numer. Funct. Anal. Optim. 27, No. 3--4, 259--277 (2006; Zbl 1100.47044) Full Text: DOI
Yamada, Isao; Ogura, Nobuhiko Adaptive projected subgradient method for asymptotic minimization of sequence of nonnegative convex functions. (English) Zbl 1156.90428 Numer. Funct. Anal. Optim. 25, No. 7-8, 593-617 (2004). Reviewer: Jong Kyu Kim (Masan Kyungnam) MSC: 90C25 90C52 47H10 47H09 PDFBibTeX XMLCite \textit{I. Yamada} and \textit{N. Ogura}, Numer. Funct. Anal. Optim. 25, No. 7--8, 593--617 (2004; Zbl 1156.90428) Full Text: DOI
Gárciga Otero, Rolando; Iusem, Alfredo Proximal methods with penalization effects in Banach spaces. (English) Zbl 1062.90066 Numer. Funct. Anal. Optimization 25, No. 1-2, 69-91 (2004). MSC: 90C48 PDFBibTeX XMLCite \textit{R. Gárciga Otero} and \textit{A. Iusem}, Numer. Funct. Anal. Optim. 25, No. 1--2, 69--91 (2004; Zbl 1062.90066) Full Text: DOI
Butnariu, Dan; Reich, Simeon; Zaslavski, Alexander J. Weak convergence of orbits of nonlinear operators in reflexive Banach spaces. (English) Zbl 1071.47052 Numer. Funct. Anal. Optimization 24, No. 5-6, 489-508 (2003). Reviewer: Milan Kučera (Praha) MSC: 47H09 47H30 54E35 54E52 65K99 PDFBibTeX XMLCite \textit{D. Butnariu} et al., Numer. Funct. Anal. Optim. 24, No. 5--6, 489--508 (2003; Zbl 1071.47052) Full Text: DOI
Ogura, Nobuhiko; Yamada, Isao Non-strictly convex minimization over the fixed point set of an asymptotically shrinking nonexpansive mapping. (English) Zbl 1178.90346 Numer. Funct. Anal. Optim. 23, No. 1-2, 113-137 (2002). MSC: 90C48 47H09 47H10 47N10 90C25 PDFBibTeX XMLCite \textit{N. Ogura} and \textit{I. Yamada}, Numer. Funct. Anal. Optim. 23, No. 1--2, 113--137 (2002; Zbl 1178.90346) Full Text: DOI
Crombez, G. Parallel algorithms for finding common fixed points of paracontractions. (English) Zbl 1004.65068 Numer. Funct. Anal. Optimization 23, No. 1-2, 47-59 (2002). Reviewer: Willi Schönauer (Karlsruhe) MSC: 65J15 47H10 47J25 65Y05 PDFBibTeX XMLCite \textit{G. Crombez}, Numer. Funct. Anal. Optim. 23, No. 1--2, 47--59 (2002; Zbl 1004.65068) Full Text: DOI
Iusem, Alfredo; Gárciga Otero, Rolando Inexact versions of proximal point and augmented Lagrangian algorithms in Banach spaces. (English) Zbl 1018.90067 Numer. Funct. Anal. Optimization 22, No. 5-6, 609-640 (2001). MSC: 90C48 49J40 49M30 90C25 46N10 PDFBibTeX XMLCite \textit{A. Iusem} and \textit{R. Gárciga Otero}, Numer. Funct. Anal. Optim. 22, No. 5--6, 609--640 (2001; Zbl 1018.90067) Full Text: DOI
Butnariu, Dan; Reich, Simeon; Zaslavski, Alexander J. Generic power convergence of operators in Banach spaces. (English) Zbl 0939.47043 Numer. Funct. Anal. Optimization 20, No. 7-8, 629-650 (1999). Reviewer: A.Petrusel (Cluj-Napoca) MSC: 47H09 47J25 49M30 52A41 PDFBibTeX XMLCite \textit{D. Butnariu} et al., Numer. Funct. Anal. Optim. 20, No. 7--8, 629--650 (1999; Zbl 0939.47043) Full Text: DOI
Butnariu, Dan; Iusem, Alfredo N. On a proximal point method for convex optimization in Banach spaces. (English) Zbl 0891.49002 Numer. Funct. Anal. Optimization 18, No. 7-8, 723-744 (1997). MSC: 49J27 49J45 PDFBibTeX XMLCite \textit{D. Butnariu} and \textit{A. N. Iusem}, Numer. Funct. Anal. Optim. 18, No. 7--8, 723--744 (1997; Zbl 0891.49002) Full Text: DOI
Butnariu, Dan; Flåm, Sjur Didrik Strong convergence of expected-projection methods in Hilbert spaces. (English) Zbl 0834.65041 Numer. Funct. Anal. Optimization 16, No. 5-6, 601-636 (1995). Reviewer: V.Berinde (Baia Mare) MSC: 65J05 65K05 47H40 90C15 41A50 92C55 PDFBibTeX XMLCite \textit{D. Butnariu} and \textit{S. D. Flåm}, Numer. Funct. Anal. Optim. 16, No. 5--6, 601--636 (1995; Zbl 0834.65041) Full Text: DOI