Takahashi, Wataru; Takeuchi, Yukio The Fenchel duality formula, the Ekeland variational principle, and Rockafellar’s theorem for maximal monotonicity of subdifferentials. (English) Zbl 1511.47062 Optimization 71, No. 10, 2769-2787 (2022). MSC: 47H14 47H07 47H11 PDFBibTeX XMLCite \textit{W. Takahashi} and \textit{Y. Takeuchi}, Optimization 71, No. 10, 2769--2787 (2022; Zbl 1511.47062) Full Text: DOI
Takahashi, Wataru; Yao, Jen-Chih Strong convergence theorems under shrinking projection methods for split common fixed point problems in two Banach spaces. (English) Zbl 1496.47103 J. Convex Anal. 28, No. 4, 1097-1118 (2021). MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{W. Takahashi} and \textit{J.-C. Yao}, J. Convex Anal. 28, No. 4, 1097--1118 (2021; Zbl 1496.47103) Full Text: Link
Takahashi, Wataru A weak convergence theorem under Mann’s iteration for generalized nonexpansive mappings in a Banach space. (English) Zbl 1492.47086 Linear Nonlinear Anal. 6, No. 2, 313-332 (2020). MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{W. Takahashi}, Linear Nonlinear Anal. 6, No. 2, 313--332 (2020; Zbl 1492.47086) Full Text: Link
Kondo, Atsumasa; Takahashi, Wataru Weak convergence theorems to common attractive points of normally 2-generalized hybrid mappings with errors. (English) Zbl 07356778 J. Nonlinear Convex Anal. 21, No. 11, 2549-2570 (2020). MSC: 47H05 47H09 47J25 PDFBibTeX XMLCite \textit{A. Kondo} and \textit{W. Takahashi}, J. Nonlinear Convex Anal. 21, No. 11, 2549--2570 (2020; Zbl 07356778) Full Text: Link
Hojo, Mayumi; Takahashi, Wataru Strong convergence theorems by hybrid methods for solving split common fixed point problems in Hilbert spaces and applications. (English) Zbl 07356775 J. Nonlinear Convex Anal. 21, No. 11, 2499-2516 (2020). MSC: 47H05 47H09 47H20 PDFBibTeX XMLCite \textit{M. Hojo} and \textit{W. Takahashi}, J. Nonlinear Convex Anal. 21, No. 11, 2499--2516 (2020; Zbl 07356775) Full Text: Link
Takahashi, Wataru; Yao, Jen-Chih A strong convergence theorem under a new hybrid method for demimetric mappings in a Banach space. (English) Zbl 07347551 J. Nonlinear Convex Anal. 21, No. 5, 1003-1015 (2020). MSC: 47H05 47H09 PDFBibTeX XMLCite \textit{W. Takahashi} and \textit{J.-C. Yao}, J. Nonlinear Convex Anal. 21, No. 5, 1003--1015 (2020; Zbl 07347551) Full Text: Link
Takahashi, Wataru A strong convergence theorem under a new hybrid method for two demigeneralized mappings in a Banach space. (English) Zbl 07347524 J. Nonlinear Convex Anal. 21, No. 4, 741-757 (2020). MSC: 47H05 47H10 PDFBibTeX XMLCite \textit{W. Takahashi}, J. Nonlinear Convex Anal. 21, No. 4, 741--757 (2020; Zbl 07347524) Full Text: Link
Takahashi, Wataru; Wen, Ching-Feng; Yao, Jen-Chih Strong convergence theorem for split common fixed point problem and hierarchical variational inequality problem in Hilbert spaces. (English) Zbl 07347483 J. Nonlinear Convex Anal. 21, No. 1, 251-273 (2020). MSC: 47H05 47H10 58E35 PDFBibTeX XMLCite \textit{W. Takahashi} et al., J. Nonlinear Convex Anal. 21, No. 1, 251--273 (2020; Zbl 07347483) Full Text: Link
Lin, Chien-Nan; Takahashi, Wataru; Wen, Ching-Feng Weak convergence theorem for infinite families of demigeneric generalized hybrid mappings in Hilbert spaces. (English) Zbl 1475.47066 J. Nonlinear Convex Anal. 20, No. 1, 133-147 (2019). MSC: 47J25 47H05 PDFBibTeX XMLCite \textit{C.-N. Lin} et al., J. Nonlinear Convex Anal. 20, No. 1, 133--147 (2019; Zbl 1475.47066)
Takahashi, Wataru A strong convergence theorem for two infinite sequences of nonlinear mappings in Hilbert spaces and applications. (English) Zbl 1458.47038 Pure Appl. Funct. Anal. 4, No. 3, 629-647 (2019). MSC: 47J26 47H05 PDFBibTeX XMLCite \textit{W. Takahashi}, Pure Appl. Funct. Anal. 4, No. 3, 629--647 (2019; Zbl 1458.47038) Full Text: Link
Takahashi, Wataru Strong convergence theorems by hybrid methods for new demimetric mappings in Banach spaces. (English) Zbl 1514.47110 J. Convex Anal. 26, No. 1, 201-216 (2019). MSC: 47J26 47H05 PDFBibTeX XMLCite \textit{W. Takahashi}, J. Convex Anal. 26, No. 1, 201--216 (2019; Zbl 1514.47110) Full Text: Link
Takahashi, Wataru A general iterative method for split common fixed point problems in Hilbert spaces and applications. (English) Zbl 1474.47138 Pure Appl. Funct. Anal. 3, No. 2, 349-369 (2018). MSC: 47J25 47H05 47H10 58E35 PDFBibTeX XMLCite \textit{W. Takahashi}, Pure Appl. Funct. Anal. 3, No. 2, 349--369 (2018; Zbl 1474.47138) Full Text: Link
Takahashi, Wataru New nonlinear operators and split common fixed point problems in Banach spaces and applications. (English) Zbl 1503.47081 J. Nonlinear Convex Anal. 19, No. 9, 1475-1491 (2018). MSC: 47H10 47H05 47H09 46B20 PDFBibTeX XMLCite \textit{W. Takahashi}, J. Nonlinear Convex Anal. 19, No. 9, 1475--1491 (2018; Zbl 1503.47081) Full Text: Link
Takahashi, Wataru; Wen, Ching-Feng; Yao, Jen-Chih An implicit algorithm for the split common fixed point problem in Hilbert spaces and applications. (English) Zbl 1484.47085 Appl. Anal. Optim. 1, No. 3, 423-439 (2017). MSC: 47H05 47H09 58E35 PDFBibTeX XMLCite \textit{W. Takahashi} et al., Appl. Anal. Optim. 1, No. 3, 423--439 (2017; Zbl 1484.47085) Full Text: Link
Takahashi, Wataru; Yao, Jen-Chih A strong convergence theorem by the hybrid method for a new class of nonlinear operators in a Banach space and applications. (English) Zbl 1489.47100 Appl. Anal. Optim. 1, No. 1, 1-17 (2017). MSC: 47J26 47H05 47H09 PDFBibTeX XMLCite \textit{W. Takahashi} and \textit{J.-C. Yao}, Appl. Anal. Optim. 1, No. 1, 1--17 (2017; Zbl 1489.47100) Full Text: Link
Takahashi, Wataru Strong convergence theorems by hybrid methods for families of demimetric mappings in Banach spaces and applications. (English) Zbl 1525.47114 Linear Nonlinear Anal. 3, No. 3, 321-336 (2017). MSC: 47J25 47H05 47H20 47H09 PDFBibTeX XMLCite \textit{W. Takahashi}, Linear Nonlinear Anal. 3, No. 3, 321--336 (2017; Zbl 1525.47114) Full Text: Link
Takahashi, Wataru; Wen, Ching-Feng; Yao, Jen-Chih Split common fixed point problems and hierarchical variational inequality problems in Hilbert spaces. (English) Zbl 06847090 J. Nonlinear Convex Anal. 18, No. 5, 777-797 (2017). MSC: 47H05 47H10 58E35 PDFBibTeX XMLCite \textit{W. Takahashi} et al., J. Nonlinear Convex Anal. 18, No. 5, 777--797 (2017; Zbl 06847090) Full Text: Link
Takahashi, Wataru The split common null point problem for generalized resolvents in two Banach spaces. (English) Zbl 06787454 Numer. Algorithms 75, No. 4, 1065-1078 (2017). MSC: 47H05 47H09 PDFBibTeX XMLCite \textit{W. Takahashi}, Numer. Algorithms 75, No. 4, 1065--1078 (2017; Zbl 06787454) Full Text: DOI
Alofi, A. S.; Alsulami, Saud M.; Takahashi, Wataru Strongly convergent iterative method for the split common null point problem in Banach spaces. (English) Zbl 06673744 J. Nonlinear Convex Anal. 17, No. 2, 311-324 (2016). MSC: 47H05 47H09 PDFBibTeX XMLCite \textit{A. S. Alofi} et al., J. Nonlinear Convex Anal. 17, No. 2, 311--324 (2016; Zbl 06673744) Full Text: Link
Takahashi, Satoru; Takahashi, Wataru Split common null point problem and shrinking projection method for generalized resolvents in two Banach spaces. (English) Zbl 1478.47088 J. Nonlinear Convex Anal. 17, No. 11, 2171-2182 (2016). MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{S. Takahashi} and \textit{W. Takahashi}, J. Nonlinear Convex Anal. 17, No. 11, 2171--2182 (2016; Zbl 1478.47088) Full Text: Link
Hojo, Mayumi; Takahashi, Wataru Strong convergence theorems by hybrid methods for demimetric mappings in Banach spaces. (English) Zbl 1477.47085 J. Nonlinear Convex Anal. 17, No. 7, 1333-1344 (2016). MSC: 47J26 47H09 PDFBibTeX XMLCite \textit{M. Hojo} and \textit{W. Takahashi}, J. Nonlinear Convex Anal. 17, No. 7, 1333--1344 (2016; Zbl 1477.47085) Full Text: Link
Takahashi, Satoru; Takahashi, Wataru The split common null point problem and the shrinking projection method in Banach spaces. (English) Zbl 1338.47110 Optimization 65, No. 2, 281-287 (2016). MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{S. Takahashi} and \textit{W. Takahashi}, Optimization 65, No. 2, 281--287 (2016; Zbl 1338.47110) Full Text: DOI
Akashi, Shigeo; Kimura, Yasunori; Takahashi, Wataru Strongly convergent iterative methods for generalized split feasibility problems in Hilbert spaces. (English) Zbl 1336.47060 J. Convex Anal. 22, No. 4, 917-938 (2015). MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{S. Akashi} et al., J. Convex Anal. 22, No. 4, 917--938 (2016; Zbl 1336.47060) Full Text: Link
Hojo, Mayumi; Plubtieng, Somyot; Takahashi, Wataru Generalized split feasibility problems and strong convergence theorems in Hilbert spaces. (English) Zbl 1338.47092 Pac. J. Optim. 12, No. 1, 101-118 (2016). MSC: 47J25 47H05 47H09 47H20 PDFBibTeX XMLCite \textit{M. Hojo} et al., Pac. J. Optim. 12, No. 1, 101--118 (2016; Zbl 1338.47092) Full Text: Link
Komiya, Hidetoshi; Takahashi, Wataru Strong convergence theorems by shrinking projection methods for generalized split feasibility problems in Hilbert spaces. (English) Zbl 1359.47053 Pac. J. Optim. 12, No. 1, 1-17 (2016). Reviewer: Edward Prempeh (Kumasi) MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{H. Komiya} and \textit{W. Takahashi}, Pac. J. Optim. 12, No. 1, 1--17 (2016; Zbl 1359.47053) Full Text: Link
Alsulami, Saud M.; Hussain, Nawab; Takahashi, Wataru Weakly convergent iterative method for the split common null point problem in Banach spaces. (English) Zbl 1349.47103 J. Nonlinear Convex Anal. 16, No. 11, 2333-2342 (2015). MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{S. M. Alsulami} et al., J. Nonlinear Convex Anal. 16, No. 11, 2333--2342 (2015; Zbl 1349.47103) Full Text: Link
Takahashi, Wataru The split common null point problem in two Banach spaces. (English) Zbl 1336.47059 J. Nonlinear Convex Anal. 16, No. 12, 2343-2350 (2015). MSC: 47J22 47H05 47H09 PDFBibTeX XMLCite \textit{W. Takahashi}, J. Nonlinear Convex Anal. 16, No. 12, 2343--2350 (2015; Zbl 1336.47059) Full Text: Link
Hojo, Mayumi; Takahashi, Wataru The split common fixed point problem and the hybrid method in Banach spaces. (English) Zbl 1338.47093 Linear Nonlinear Anal. 1, No. 2, 305-315 (2015). MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{M. Hojo} and \textit{W. Takahashi}, Linear Nonlinear Anal. 1, No. 2, 305--315 (2015; Zbl 1338.47093) Full Text: Link
Takahashi, Satoru; Takahashi, Wataru The split common null point problem and the shrinking projection method in two Banach spaces. (English) Zbl 1338.47109 Linear Nonlinear Anal. 1, No. 2, 297-304 (2015). MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{S. Takahashi} and \textit{W. Takahashi}, Linear Nonlinear Anal. 1, No. 2, 297--304 (2015; Zbl 1338.47109) Full Text: Link
Plubtieng, Somyot; Takahashi, Wataru Generalized split feasibility problems and weak convergence theorems in Hilbert spaces. (English) Zbl 1326.47094 Linear Nonlinear Anal. 1, No. 1, 139-157 (2015). MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{S. Plubtieng} and \textit{W. Takahashi}, Linear Nonlinear Anal. 1, No. 1, 139--157 (2015; Zbl 1326.47094) Full Text: Link
Alofi, A. S.; Alsulami, Saud M.; Takahashi, W. The split common null point problem and Halpern-type strong convergence theorem in Hilbert spaces. (English) Zbl 1320.47062 J. Nonlinear Convex Anal. 16, No. 5, 775-789 (2015). Reviewer: Hengyou Lan (Zigong) MSC: 47J25 47H05 49J40 PDFBibTeX XMLCite \textit{A. S. Alofi} et al., J. Nonlinear Convex Anal. 16, No. 5, 775--789 (2015; Zbl 1320.47062) Full Text: Link
Takahashi, Wataru; Xu, Hong-Kun; Yao, Jen-Chin Iterative methods for generalized split feasibility problems in Hilbert spaces. (English) Zbl 1326.47099 Set-Valued Var. Anal. 23, No. 2, 205-221 (2015). MSC: 47J25 47H05 47H09 47H20 PDFBibTeX XMLCite \textit{W. Takahashi} et al., Set-Valued Var. Anal. 23, No. 2, 205--221 (2015; Zbl 1326.47099) Full Text: DOI
Takahashi, Wataru The split common null point problem in Banach spaces. (English) Zbl 1458.47034 Arch. Math. 104, No. 4, 357-365 (2015). Reviewer: Vasile Berinde (Baia Mare) MSC: 47J22 47H05 47H09 47J25 PDFBibTeX XMLCite \textit{W. Takahashi}, Arch. Math. 104, No. 4, 357--365 (2015; Zbl 1458.47034) Full Text: DOI
Hojo, Mayumi; Takahashi, Wataru Generalized split feasibility problem governed by widely more generalized hybrid mappings in Hilbert spaces. (English) Zbl 1524.47084 Nihonkai Math. J. 25, No. 2, 127-146 (2014). MSC: 47J25 47H05 47H09 47H20 PDFBibTeX XMLCite \textit{M. Hojo} and \textit{W. Takahashi}, Nihonkai Math. J. 25, No. 2, 127--146 (2014; Zbl 1524.47084) Full Text: Euclid
Alsulami, Saud M.; Takahashi, Wataru The split common null point problem for maximal monotone mappings in Hilbert spaces and applications. (English) Zbl 1296.47044 J. Nonlinear Convex Anal. 15, No. 4, 793-808 (2014). Reviewer: K. C. Sivakumar (Chennai) MSC: 47H05 47H10 58E35 PDFBibTeX XMLCite \textit{S. M. Alsulami} and \textit{W. Takahashi}, J. Nonlinear Convex Anal. 15, No. 4, 793--808 (2014; Zbl 1296.47044) Full Text: Link
Lin, Lai-Jiu; Takahashi, Wataru Strong convergence theorems with strongly monotone and Lipschitzian continuous operators in Hilbert spaces and applications. (English) Zbl 1446.47072 Akashi, Shigeo (ed.) et al., Proceedings of the seventh international conference on nonlinear analysis and convex analysis (NACA 2011), Busan, South Korea, August 2–5, 2011. Vol. II. Yokohama: Yokohama Publishers. 1-21 (2013). MSC: 47J25 47H05 PDFBibTeX XMLCite \textit{L.-J. Lin} and \textit{W. Takahashi}, in: Proceedings of the seventh international conference on nonlinear analysis and convex analysis (NACA 2011), Busan, South Korea, August 2--5, 2011. Vol. II. Yokohama: Yokohama Publishers. 1--21 (2013; Zbl 1446.47072)
Lin, Lai-Jiu; Takahashi, Wataru A general iterative method for hierarchical variational inequality problems in Hilbert spaces and applications. (English) Zbl 1334.47068 Positivity 16, No. 3, 429-453 (2012). MSC: 47J30 58E35 PDFBibTeX XMLCite \textit{L.-J. Lin} and \textit{W. Takahashi}, Positivity 16, No. 3, 429--453 (2012; Zbl 1334.47068) Full Text: DOI
Takahashi, Wataru; Wong, Ngai-Ching; Yao, Jen-Chih Iterative common solutions for monotone inclusion problems, fixed point problems and equilibrium problems. (English) Zbl 1475.47078 Fixed Point Theory Appl. 2012, Paper No. 181, 19 p. (2012). MSC: 47J25 47H05 47J22 PDFBibTeX XMLCite \textit{W. Takahashi} et al., Fixed Point Theory Appl. 2012, Paper No. 181, 19 p. (2012; Zbl 1475.47078) Full Text: DOI
Hojo, Mayumi; Takahashi, Wataru Approximation of common solutions for monotone inclusion problems and equilibrium problems in Hilbert spaces. (English) Zbl 1372.47072 Nihonkai Math. J. 23, No. 2, 115-134 (2012). MSC: 47J22 47H05 47J25 PDFBibTeX XMLCite \textit{M. Hojo} and \textit{W. Takahashi}, Nihonkai Math. J. 23, No. 2, 115--134 (2012; Zbl 1372.47072) Full Text: Euclid
Takahashi, Wataru; Wong, Ngai-Ching; Yao, Jen-Chih Two generalized strong convergence theorems of Halpern’s type in Hilbert spaces and applications. (English) Zbl 1515.47106 Taiwanese J. Math. 16, No. 3, 1151-1172 (2012). MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{W. Takahashi} et al., Taiwanese J. Math. 16, No. 3, 1151--1172 (2012; Zbl 1515.47106) Full Text: DOI Link
Klin-Eam, Chakkrid; Suantai, Suthep; Takahashi, Wataru Generalized projection algorithms for maximal monotone operators and relatively nonexpansive mappings in Banach spaces. (English) Zbl 1256.47051 Taiwanese J. Math. 15, No. 3, 1227-1246 (2011). Reviewer: Stefan Czerwik (Gliwice) MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{C. Klin-Eam} et al., Taiwanese J. Math. 15, No. 3, 1227--1246 (2011; Zbl 1256.47051) Full Text: DOI
Takahashi, Wataru; Yao, Jen-Chih Nonlinear operators of monotone type and convergence theorems with equilibrium problems in Banach spaces. (English) Zbl 1248.47050 Taiwanese J. Math. 15, No. 2, 787-818 (2011). Reviewer: Stepan Agop Tersian (Rousse) MSC: 47H05 47H06 47J25 PDFBibTeX XMLCite \textit{W. Takahashi} and \textit{J.-C. Yao}, Taiwanese J. Math. 15, No. 2, 787--818 (2011; Zbl 1248.47050) Full Text: DOI
Manaka, Hiroko; Takahashi, Wataru Weak convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space. (English) Zbl 1247.47070 Cubo 13, No. 1, 11-24 (2011). MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{H. Manaka} and \textit{W. Takahashi}, Cubo 13, No. 1, 11--24 (2011; Zbl 1247.47070) Full Text: DOI
Aoyama, Koji; Kohsaka, Fumiaki; Takahashi, Wataru Proximal point methods for monotone operators in Banach spaces. (English) Zbl 1241.47044 Taiwanese J. Math. 15, No. 1, 259-281 (2011). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 47H05 47J25 49J53 PDFBibTeX XMLCite \textit{K. Aoyama} et al., Taiwanese J. Math. 15, No. 1, 259--281 (2011; Zbl 1241.47044) Full Text: DOI Link
Takahashi, Wataru Resolvents, nonlinear operators and strong convergence theorems in Banach spaces. (English) Zbl 1220.47065 Akashi, Shigeo (ed.) et al., Proceedings of the sixth international conference on nonlinear analysis and convex analysis (NACA 2009), Tokyo, Japan, March 27–31, 2009. In celebration of the retirement of Professor Wataru Takahashi. Yokohama: Yokohama Publishers (ISBN 978-4-946552-41-0/hbk). 341-363 (2010). MSC: 47H05 47H09 47H20 47J25 PDFBibTeX XMLCite \textit{W. Takahashi}, in: Proceedings of the sixth international conference on nonlinear analysis and convex analysis (NACA 2009), Tokyo, Japan, March 27--31, 2009. In celebration of the retirement of Professor Wataru Takahashi. Yokohama: Yokohama Publishers. 341--363 (2010; Zbl 1220.47065)
Takahashi, S.; Takahashi, W.; Toyoda, M. Strong convergence theorems for maximal monotone operators with nonlinear mappings in Hilbert spaces. (English) Zbl 1208.47071 J. Optim. Theory Appl. 147, No. 1, 27-41 (2010). Reviewer: Stepan Agop Tersian (Rousse) MSC: 47J25 47H07 47H05 47H09 PDFBibTeX XMLCite \textit{S. Takahashi} et al., J. Optim. Theory Appl. 147, No. 1, 27--41 (2010; Zbl 1208.47071) Full Text: DOI
Ibaraki, Takanori; Takahashi, Wataru Generalized nonexpansive mappings and a proximal-type algorithm in Banach spaces. (English) Zbl 1218.47076 Leizarowitz, Arie (ed.) et al., Nonlinear analysis and optimization I. Nonlinear analysis. A conference in celebration of Alex Ioffe’s 70th and Simeon Reich’s 60th birthdays, Haifa, Israel, June 18–24, 2008. Providence, RI: American Mathematical Society (AMS); Ramat-Gan: Bar-Ilan University (ISBN 978-0-8218-4834-0/pbk). Contemporary Mathematics 513, 169-180 (2010). Reviewer: Stepan Agop Tersian (Rousse) MSC: 47H09 47H10 47J25 PDFBibTeX XMLCite \textit{T. Ibaraki} and \textit{W. Takahashi}, Contemp. Math. 513, 169--180 (2010; Zbl 1218.47076)
Inthakon, W.; Dhompongsa, S.; Takahashi, W. Strong convergence theorems for maximal monotone operators and generalized nonexpansive mappings in Banach spaces. (English) Zbl 1190.47071 J. Nonlinear Convex Anal. 11, No. 1, 45-63 (2010). MSC: 47J25 47H05 47H09 PDFBibTeX XMLCite \textit{W. Inthakon} et al., J. Nonlinear Convex Anal. 11, No. 1, 45--63 (2010; Zbl 1190.47071)
Aoyama, Koji; Kohsaka, Fumiaki; Takahashi, Wataru Strong convergence theorems by shrinking and hybrid projection methods for relatively nonexpansive mappings in Banach spaces. (English) Zbl 1269.47050 Hsu, Sze-Bi (ed.) et al., Proceedings of the fifth international conference on nonlinear analysis and convex analysis (NACA 2007), Hsinchu, Taiwan, May 31–June 4, 2007. Yokohama: Yokohama Publishers (ISBN 978-4-946552-32-8/pbk). 7-26 (2009). MSC: 47J25 47H09 47H05 PDFBibTeX XMLCite \textit{K. Aoyama} et al., in: Proceedings of the fifth international conference on nonlinear analysis and convex analysis (NACA 2007), Hsinchu, Taiwan, May 31--June 4, 2007. Yokohama: Yokohama Publishers. 7--26 (2009; Zbl 1269.47050)
Inoue, Go; Takahashi, Wataru; Zembayashi, Kei Strong convergence theorems by hybrid methods for maximal monotone operators and relatively nonexpansive mappings in Banach spaces. (English) Zbl 1194.47083 J. Convex Anal. 16, No. 3-4, 791-806 (2009). Reviewer: Mădălina Păcurar (Cluj-Napoca) MSC: 47J25 47H05 47H09 47H10 PDFBibTeX XMLCite \textit{G. Inoue} et al., J. Convex Anal. 16, No. 3--4, 791--806 (2009; Zbl 1194.47083) Full Text: Link
Kimura, Yasunori; Takahashi, Wataru On a hybrid method for a family of relatively nonexpansive mappings in a Banach space. (English) Zbl 1166.47058 J. Math. Anal. Appl. 357, No. 2, 356-363 (2009). MSC: 47J25 47H09 47H05 PDFBibTeX XMLCite \textit{Y. Kimura} and \textit{W. Takahashi}, J. Math. Anal. Appl. 357, No. 2, 356--363 (2009; Zbl 1166.47058) Full Text: DOI
Kimura, Yasunori; Nakajo, Kazuhide; Takahashi, Wataru Strongly convergent iterative schemes for a sequence of nonlinear mappings. (English) Zbl 1162.47049 J. Nonlinear Convex Anal. 9, No. 3, 407-416 (2008). Reviewer: Peter Zabreiko (Minsk) MSC: 47J25 47H09 PDFBibTeX XMLCite \textit{Y. Kimura} et al., J. Nonlinear Convex Anal. 9, No. 3, 407--416 (2008; Zbl 1162.47049)
Takahashi, Wataru Proximal point algorithms and four types of nonlinear retractions. (English) Zbl 1220.47128 Kato, Mikio (ed.) et al., Proceedings of the 2nd international symposium on Banach and function spaces II (ISBFS 2006), Kitakyushu, Japan, September 14–17, 2006. Yokohama: Yokohama Publishers (ISBN 978-4-946552-29-8/hbk). 157-190 (2008). MSC: 47J25 47H05 47H06 47H09 PDFBibTeX XMLCite \textit{W. Takahashi}, in: Proceedings of the 2nd international symposium on Banach and function spaces II (ISBFS 2006), Kitakyushu, Japan, September 14--17, 2006. Yokohama: Yokohama Publishers. 157--190 (2008; Zbl 1220.47128)
Aoyama, Koji; Kimura, Yasunori; Takahashi, Wataru Maximal monotone operators and maximal monotone functions for equilibrium problems. (English) Zbl 1165.47036 J. Convex Anal. 15, No. 2, 395-409 (2008). Reviewer: Regina Sandra Burachik (Adelaide) MSC: 47H05 47N10 91B50 52A41 49J53 PDFBibTeX XMLCite \textit{K. Aoyama} et al., J. Convex Anal. 15, No. 2, 395--409 (2008; Zbl 1165.47036) Full Text: Link
Ibaraki, Takanori; Takahashi, Wataru Strong convergence theorem by a hybrid method for generalized resolvents of maximal monotone operators in Banach spaces. (English) Zbl 1145.47052 J. Nonlinear Convex Anal. 9, No. 1, 71-81 (2008). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 47J25 47H05 65K05 PDFBibTeX XMLCite \textit{T. Ibaraki} and \textit{W. Takahashi}, J. Nonlinear Convex Anal. 9, No. 1, 71--81 (2008; Zbl 1145.47052)
Takahashi, Wataru; Takeuchi, Yukio; Kubota, Rieko Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces. (English) Zbl 1134.47052 J. Math. Anal. Appl. 341, No. 1, 276-286 (2008). MSC: 47J25 47H20 47H09 PDFBibTeX XMLCite \textit{W. Takahashi} et al., J. Math. Anal. Appl. 341, No. 1, 276--286 (2008; Zbl 1134.47052) Full Text: DOI
Ibaraki, Takanori; Takahashi, Wataru Weak convergence theorem for new nonexpansive mappings in Banach spaces and its applications. (English) Zbl 1219.47115 Taiwanese J. Math. 11, No. 3, 929-944 (2007). MSC: 47J25 47H09 47H07 47H10 PDFBibTeX XMLCite \textit{T. Ibaraki} and \textit{W. Takahashi}, Taiwanese J. Math. 11, No. 3, 929--944 (2007; Zbl 1219.47115) Full Text: DOI
Aoyama, Koji; Takahashi, Wataru Strong convergence theorems for a family of relatively nonexpansive mappings in Banach spaces. (English) Zbl 1143.47044 Fixed Point Theory 8, No. 2, 143-160 (2007). Reviewer: Peter Zabreiko (Minsk) MSC: 47J25 47H10 47H06 47J20 PDFBibTeX XMLCite \textit{K. Aoyama} and \textit{W. Takahashi}, Fixed Point Theory 8, No. 2, 143--160 (2007; Zbl 1143.47044)
Kohsaka, Fumiaki; Takahashi, Wataru Generalized nonexpansive retractions and a proximal-type algorithm in Banach spaces. (English) Zbl 1132.47051 J. Nonlinear Convex Anal. 8, No. 2, 197-209 (2007). Reviewer: Regina Sandra Burachik MSC: 47J25 47H05 49J40 PDFBibTeX XMLCite \textit{F. Kohsaka} and \textit{W. Takahashi}, J. Nonlinear Convex Anal. 8, No. 2, 197--209 (2007; Zbl 1132.47051)
Matsushita, Shin-ya; Takahashi, Wataru A proximal-type algorithm by the hybrid method for maximal monotone operators in a Banach space. (English) Zbl 1152.47056 Takahashi, Wataru (ed.) et al., Nonlinear analysis and convex analysis. Proceedings of the 4th international conference (NACA 2005), Okinawa, Japan, June 30–July 4, 2005. Yokohama: Yokohama Publishers (ISBN 978-4-946552-27-4/hbk). 355-365 (2007). Reviewer: Ioan I. Vrabie (Iaşi) MSC: 47J25 47H05 49J53 PDFBibTeX XMLCite \textit{S.-y. Matsushita} and \textit{W. Takahashi}, in: Nonlinear analysis and convex analysis. Proceedings of the 4th international conference (NACA 2005), Okinawa, Japan, June 30--July 4, 2005. Yokohama: Yokohama Publishers. 355--365 (2007; Zbl 1152.47056)
Iiduka, Hideaki; Takahashi, Wataru Relations between equations of set-valued operators and equilibrium problems. (English) Zbl 1121.47049 Takahashi, Wataru (ed.) et al., Nonlinear analysis and convex analysis. Proceedings of the 4th international conference (NACA 2005), Okinawa, Japan, June 30–July 4, 2005. Yokohama: Yokohama Publishers (ISBN 978-4-946552-27-4/hbk). 163-172 (2007). Reviewer: Andrzej Nowak (Katowice) MSC: 47J05 47H06 47J20 47H04 49J35 91B50 PDFBibTeX XMLCite \textit{H. Iiduka} and \textit{W. Takahashi}, in: Nonlinear analysis and convex analysis. Proceedings of the 4th international conference (NACA 2005), Okinawa, Japan, June 30--July 4, 2005. Yokohama: Yokohama Publishers. 163--172 (2007; Zbl 1121.47049)
Iemoto, Shigeru; Takahashi, Wataru Strong and weak convergence theorems for resolvents of maximal monotone operators in Hilbert spaces. (English) Zbl 1149.47056 Takahashi, Wataru (ed.) et al., Nonlinear analysis and convex analysis. Proceedings of the 4th international conference (NACA 2005), Okinawa, Japan, June 30–July 4, 2005. Yokohama: Yokohama Publishers (ISBN 978-4-946552-27-4/hbk). 149-162 (2007). Reviewer: Naseer Shahzad (Jeddah) MSC: 47J25 47H05 47H10 PDFBibTeX XMLCite \textit{S. Iemoto} and \textit{W. Takahashi}, in: Nonlinear analysis and convex analysis. Proceedings of the 4th international conference (NACA 2005), Okinawa, Japan, June 30--July 4, 2005. Yokohama: Yokohama Publishers. 149--162 (2007; Zbl 1149.47056)
Kohsaka, Fumiaki; Takahashi, Wataru Proximal point algorithms with Bregman functions in Banach spaces. (English) Zbl 1105.47059 J. Nonlinear Convex Anal. 6, No. 3, 505-523 (2005). Reviewer: Naseer Shahzad (Jeddah) MSC: 47J25 47H05 47J20 PDFBibTeX XMLCite \textit{F. Kohsaka} and \textit{W. Takahashi}, J. Nonlinear Convex Anal. 6, No. 3, 505--523 (2005; Zbl 1105.47059)
Matsushita, Shin-ya; Takahashi, Wataru A strong convergence theorem for relatively nonexpansive mappings in a Banach space. (English) Zbl 1071.47063 J. Approximation Theory 134, No. 2, 257-266 (2005). Reviewer: Gilbert Crombez (Gent) MSC: 47J25 47H09 47H05 PDFBibTeX XMLCite \textit{S.-y. Matsushita} and \textit{W. Takahashi}, J. Approx. Theory 134, No. 2, 257--266 (2005; Zbl 1071.47063) Full Text: DOI
Matsushita, Shin-Ya; Takahashi, Wataru An iterative algorithm for relatively nonexpansive mappings by a hybrid method and applications. (English) Zbl 1086.47055 Takahashi, Wataru (ed.) et al., Nonlinear analysis and convex analysis. Proceedings of the 3rd international conference(NACA2003), Tokyo, Japan, August 25–29, 2003. Yokohama: Yokohama Publishers (ISBN 4-946552-15-4/hbk). 305-313 (2004). Reviewer: Poom Kumam (Bangkok) MSC: 47J25 47H09 46H05 PDFBibTeX XMLCite \textit{S.-Y. Matsushita} and \textit{W. Takahashi}, in: Nonlinear analysis and convex analysis. Proceedings of the 3rd international conference (NACA2003), Tokyo, Japan, August 25--29, 2003. Yokohama: Yokohama Publishers. 305--313 (2004; Zbl 1086.47055)
Kohsaka, Fumiaki; Takahashi, Wataru Weak and strong convergence theorems for minimax problems in Banach spaces. (English) Zbl 1086.47052 Takahashi, Wataru (ed.) et al., Nonlinear analysis and convex analysis. Proceedings of the 3rd international conference(NACA2003), Tokyo, Japan, August 25–29, 2003. Yokohama: Yokohama Publishers (ISBN 4-946552-15-4/hbk). 203-215 (2004). Reviewer: Dumitru Motreanu (Perpignan) MSC: 47J25 47H05 PDFBibTeX XMLCite \textit{F. Kohsaka} and \textit{W. Takahashi}, in: Nonlinear analysis and convex analysis. Proceedings of the 3rd international conference (NACA2003), Tokyo, Japan, August 25--29, 2003. Yokohama: Yokohama Publishers. 203--215 (2004; Zbl 1086.47052)
Ibaraki, Takanori; Takahashi, Wataru Convergence of regularized solutions of ill-posed problem with monotone operators in a Banach space. (English) Zbl 1086.47037 Takahashi, Wataru (ed.) et al., Nonlinear analysis and convex analysis. Proceedings of the 3rd international conference(NACA2003), Tokyo, Japan, August 25–29, 2003. Yokohama: Yokohama Publishers (ISBN 4-946552-15-4/hbk). 97-106 (2004). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 47J06 47H05 47J25 47H04 PDFBibTeX XMLCite \textit{T. Ibaraki} and \textit{W. Takahashi}, in: Nonlinear analysis and convex analysis. Proceedings of the 3rd international conference (NACA2003), Tokyo, Japan, August 25--29, 2003. Yokohama: Yokohama Publishers. 97--106 (2004; Zbl 1086.47037)
Kohsaka, Fumiaki; Takahashi, Wataru Strong convergence of an iterative sequence for maximal monotone operators in a Banach space. (English) Zbl 1064.47068 Abstr. Appl. Anal. 2004, No. 3, 239-249 (2004). Reviewer: Zhang Xian (Xiamen) MSC: 47J25 47H05 PDFBibTeX XMLCite \textit{F. Kohsaka} and \textit{W. Takahashi}, Abstr. Appl. Anal. 2004, No. 3, 239--249 (2004; Zbl 1064.47068) Full Text: DOI EuDML
Kamimura, Shoji; Kohsaka, Fumiaki; Takahashi, Wataru Weak and strong convergence theorems for maximal monotone operators in a Banach space. (English) Zbl 1078.47050 Set-Valued Anal. 12, No. 4, 417-429 (2004). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 47J25 47H05 90C48 90C25 47N10 PDFBibTeX XMLCite \textit{S. Kamimura} et al., Set-Valued Anal. 12, No. 4, 417--429 (2004; Zbl 1078.47050) Full Text: DOI
Takahashi, Wataru Fixed point theorems and proximal point algorithms. (English) Zbl 1264.47080 Takahashi, Wataru (ed.) et al., Proceedings of the 2nd international conference on nonlinear analysis and convex analysis (NACA2001), Hirosaki, Japan, July 30–August 2, 2001. Yokohama: Yokohama Publishers (ISBN 4-946552-09-X/hbk). 471-481 (2003). MSC: 47J25 47H06 PDFBibTeX XMLCite \textit{W. Takahashi}, in: Proceedings of the 2nd international conference on nonlinear analysis and convex analysis (NACA2001), Hirosaki, Japan, July 30--August 2, 2001. Yokohama: Yokohama Publishers. 471--481 (2003; Zbl 1264.47080)
Takahashi, Wataru Weak and strong convergence theorems for nonlinear operators of accretive and monotone type and applications. (English) Zbl 1063.47063 Agarwal, Ravi P. (ed.) et al., Nonlinear analysis and applications: To V. Lakshmikantham on his 80th birthday. Vol. 2. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1712-X/hbk). 891-912 (2003). Reviewer: Mihai Turinici (Iaşi) MSC: 47J25 47H06 47N10 47H05 PDFBibTeX XMLCite \textit{W. Takahashi}, in: Nonlinear analysis and applications: To V. Lakshmikantham on his 80th birthday. Vol. 2. Dordrecht: Kluwer Academic Publishers. 891--912 (2003; Zbl 1063.47063)
Ohsawa, Shigeo; Takahashi, Wataru Strong convergence theorems for resolvents of maximal monotone operators in Banach spaces. (English) Zbl 1067.47080 Arch. Math. 81, No. 4, 439-445 (2003). Reviewer: Stepan Tersian (Rousse) MSC: 47J25 47H05 90C48 PDFBibTeX XMLCite \textit{S. Ohsawa} and \textit{W. Takahashi}, Arch. Math. 81, No. 4, 439--445 (2003; Zbl 1067.47080) Full Text: DOI
Kamimura, Shoji; Takahashi, Wataru Strong convergence of a proximal-type algorithm in a Banach space. (English) Zbl 1101.90083 SIAM J. Optim. 13, No. 3, 938-945 (2003). MSC: 90C48 47H05 47J25 PDFBibTeX XMLCite \textit{S. Kamimura} and \textit{W. Takahashi}, SIAM J. Optim. 13, No. 3, 938--945 (2003; Zbl 1101.90083) Full Text: DOI
Ibaraki, Takanori; Kimura, Yasunori; Takahashi, Wataru Convergence theorems for generalized projections and maximal monotone operators in Banach spaces. (English) Zbl 1045.47041 Abstr. Appl. Anal. 2003, No. 10, 621-629 (2003). Reviewer: Costica Mustăţa (Cluj-Napoca) MSC: 47H05 49J53 41A65 46B10 54B20 PDFBibTeX XMLCite \textit{T. Ibaraki} et al., Abstr. Appl. Anal. 2003, No. 10, 621--629 (2003; Zbl 1045.47041) Full Text: DOI EuDML
Kamimura, Shoji; Takahashi, Wataru Approximating solutions of maximal monotone operators in Hilbert spaces. (English) Zbl 0992.47022 J. Approximation Theory 106, No. 2, 226-240 (2000). Reviewer: Peter Zabreiko (Minsk) MSC: 47H05 47J25 PDFBibTeX XMLCite \textit{S. Kamimura} and \textit{W. Takahashi}, J. Approx. Theory 106, No. 2, 226--240 (2000; Zbl 0992.47022) Full Text: DOI
Takahashi, Wataru (ed.) Nonlinear analysis and mathematical economics. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, November 28–30, 1991. (Japanese, English) Zbl 0838.90026 RIMS Kôkyûroku. 789. Kyoto: Kyoto Univ., Research Inst. for Mathematical Sciences, ii, 191 p. (1992). Reviewer: MR 93g:90004 MSC: 91B99 91-06 00B25 90C39 91B26 90C25 90C30 91B24 60H10 91B62 90C40 PDFBibTeX XMLCite \textit{W. Takahashi} (ed.), Nonlinear analysis and mathematical economics. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, November 28--30, 1991 (Japanese). Kyoto: Kyoto Univ., Research Inst. for Mathematical Sciences (1992; Zbl 0838.90026)
Takahashi, W. Invariant ideals for amenable semigroups of Markov operators. (English) Zbl 0216.16102 Kōdai Math. Semin. Rep. 23, 121-126 (1971). MSC: 47D07 46J20 PDFBibTeX XMLCite \textit{W. Takahashi}, Kōdai Math. Semin. Rep. 23, 121--126 (1971; Zbl 0216.16102) Full Text: DOI