## Takahashi, Wataru

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 Author ID: takahashi.wataru Published as: Takahashi, Wataru; Takahashi, W.; Takahasi, Wataru; Takahahsi, Wataru; Takahashi, Waturu; Takashi, Wataru more...less Homepage: http://math.nsysu.edu.tw/files/15-1087-73151,c7865-1.php?Lang=en External Links: MGP · dblp · GND
 Documents Indexed: 534 Publications since 1969, including 3 Books 26 Contributions as Editor · 2 Further Contributions Biographic References: 4 Publications Co-Authors: 124 Co-Authors with 438 Joint Publications 1,997 Co-Co-Authors
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### Co-Authors

 105 single-authored 57 Yao, Jen-Chih 24 Hojo, Mayumi 24 Lau, Anthony To-Ming 23 Kohsaka, Fumiaki 21 Nakajo, Kazuhide 17 Aoyama, Koji 17 Kimura, Yasunori 17 Wen, Chingfeng 17 Wong, Ngai-Ching 16 Ibaraki, Takanori 15 Atsushiba, Sachiko 14 Alsulami, Saud Mastour A. 14 Shimoji, Kazuya 14 Tanaka, Tamaki 13 Shioji, Naoki 12 Iiduka, Hideaki 10 Hirano, Norimichi 10 Suzuki, Tomonari 10 Toyoda, Masashi 9 Lin, Lai-Jiu 9 Miyake, Hiromichi 8 Dhompongsa, Sompong 8 Iemoto, Shigeru 8 Kondo, Atsumasa 7 Takahashi, Satoru 6 Honda, Takashi 6 Kamimura, Shoji 6 Kido, Kazuo 6 Kikkawa, Misako 6 Kim, Gang-Eun 6 Latif, Abdul 6 Zembayashi, Kei 5 Akashi, Shigeo 5 Eshita, Kazutaka 5 Kiuchi, Hirobumi 5 Nadezhkina, Natalia 5 Nishiura, Koji 5 Takeuchi, Yukio 4 Hussain, Nawab 4 Itoh, Shigeru 4 Kada, Osamu 4 Kawasaki, Toshiharu 4 Klin-Eam, Chakkrid 4 Komiya, Hidetoshi 4 Lin, Chien-Nan. 4 Shimizu, Tomoo 4 Suantai, Suthep 3 Ali, Sahar Mohamed 3 Alofi, Abdulaziz Saleem Moslem 3 Amemiya, Masato 3 Chuang, Chih-Sheng 3 Elshobaky, Entisarat M. 3 Fan, Ky 3 Inthakon, Warunun 3 Ishihara, Hajime 3 Khan, Safeer Hussain 3 Kim, Do Sang 3 Kim, Tae Hwa 3 Kocourek, Pavel 3 Kubota, Rieko 3 Naraghirad, Eskandar 3 Rockafellar, Ralph Tyrrell 3 Sekiguchi, Yoshiyuki 3 Tamura, Takayuki 3 Xu, Hong-Kun 3 Yingtaweesittikul, Hatairat 3 Zhang, Peijun 2 Butsan, Thanwarat 2 Izawa, Yasumitsu 2 Jung, Jong Soo 2 Kijima, Yoichi 2 Kurokawa, Yu 2 Lee, Gue Myung 2 Manaka, Hiroko 2 Maruyama, Toru 2 Mizoguchi, Noriko 2 Muramatsu, Masakazu 2 Ohsawa, Shigeo 2 Plubtieng, Somyot 2 Tada, Akinori 2 Termwuttipong, Imchit 2 Tsukada, Makoto 2 Yoshisei, Akiko 1 Abdel-Mottaleb, N. 1 Akatsuka, Masanori 1 Ando, Tsuyoshi 1 Benavides, T. D. 1 Brézis, Haïm 1 Butnariu, Dan 1 Calvert, Bruce D. 1 Fujii, Jun Ichi 1 Fujii, Masatoshi 1 Fukhar-Ud-Din, Hafiz 1 Fupinwong, Worapong 1 Furuta, Takayuki 1 Goebel, Kazimierz 1 Hasegawa, Ken 1 Hsu, Minghsiu 1 Hsu, Szebi 1 Inoue, Go ...and 46 more Co-Authors
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### Serials

 111 Journal of Nonlinear and Convex Analysis 25 Taiwanese Journal of Mathematics 24 RIMS Kokyuroku 24 Linear and Nonlinear Analysis 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Scientiae Mathematicae Japonicae 21 Journal of Mathematical Analysis and Applications 13 Journal of Convex Analysis 12 Nonlinear Analysis. Theory, Methods & Applications 10 Fixed Point Theory and Applications 9 Journal of Optimization Theory and Applications 8 Pacific Journal of Optimization 8 Pure and Applied Functional Analysis 7 Proceedings of the American Mathematical Society 7 Fixed Point Theory 7 Journal of Fixed Point Theory and Applications 6 Archiv der Mathematik 6 Journal of Approximation Theory 6 Mathematica Japonica 6 Numerical Functional Analysis and Optimization 6 Topological Methods in Nonlinear Analysis 6 Abstract and Applied Analysis 5 Kodai Mathematical Journal 5 Optimization 5 Science Reports of the Yokohama National University. Section I. Mathematics, Physics, Chemistry 5 Nihonkai Mathematical Journal 5 Kodai Mathematical Seminar Reports 5 Applied Analysis and Optimization 4 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 4 Applied Mathematics and Computation 4 Journal of the Mathematical Society of Japan 4 Panamerican Mathematical Journal 4 Set-Valued Analysis 4 Communications on Applied Nonlinear Analysis 4 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 4 RIMS Kokyuroku 3 Pacific Journal of Mathematics 3 Yokohama Mathematical Journal 3 SIAM Journal on Optimization 2 Fuzzy Sets and Systems 2 Indian Journal of Mathematics 2 Journal of Functional Analysis 2 Journal of Global Optimization 2 International Journal of Computational and Numerical Analysis and Applications (IJCNAA) 2 Cubo 2 Journal of Nonlinear Analysis and Optimization: Theory & Applications 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Linear and Multilinear Algebra 1 Canadian Journal of Mathematics 1 Fundamenta Mathematicae 1 Journal of the Korean Mathematical Society 1 Journal of the Operations Research Society of Japan 1 Tokyo Journal of Mathematics 1 Southeast Asian Bulletin of Mathematics 1 Mathematical and Computer Modelling 1 Japan Journal of Industrial and Applied Mathematics 1 Numerical Algorithms 1 Dynamic Systems and Applications 1 Nonlinear Studies 1 Science Bulletin of Josai University 1 Positivity 1 Advances in Nonlinear Variational Inequalities 1 Scientiae Mathematicae 1 Thai Journal of Mathematics 1 Lecture Notes in Economics and Mathematical Systems 1 Sūrikaiseki Shirizu 1 JP Journal of Fixed Point Theory and Applications 1 Set-Valued and Variational Analysis 1 Annals of Functional Analysis 1 Journal of Nonlinear and Variational Analysis
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### Fields

 519 Operator theory (47-XX) 85 Calculus of variations and optimal control; optimization (49-XX) 49 Functional analysis (46-XX) 46 Operations research, mathematical programming (90-XX) 28 General and overarching topics; collections (00-XX) 26 General topology (54-XX) 18 Numerical analysis (65-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Approximations and expansions (41-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Abstract harmonic analysis (43-XX) 6 Measure and integration (28-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Convex and discrete geometry (52-XX) 4 Real functions (26-XX) 4 Probability theory and stochastic processes (60-XX) 3 Partial differential equations (35-XX) 3 Information and communication theory, circuits (94-XX) 2 Mathematical logic and foundations (03-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

368 Publications have been cited 10,892 times in 3,953 Documents Cited by Year
Nonlinear functional analysis. Fixed point theory and its applications. Zbl 0997.47002
Takahashi, Wataru
2000
Strong convergence of a proximal-type algorithm in a Banach space. Zbl 1101.90083
Kamimura, Shoji; Takahashi, Wataru
2003
Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces. Zbl 1122.47056
Takahashi, Satoru; Takahashi, Wataru
2007
Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups. Zbl 1035.47048
Nakajo, Kazuhide; Takahashi, Wataru
2003
Weak convergence theorems for nonexpansive mappings and monotone mappings. Zbl 1055.47052
Takahashi, W.; Toyoda, M.
2003
Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space. Zbl 1130.47045
Aoyama, Koji; Kimura, Yasunori; Takahashi, Wataru; Toyoda, Masashi
2007
Fixed point theorems for multivalued mappings on complete metric spaces. Zbl 0688.54028
Mizoguchi, Noriko; Takahashi, Wataru
1989
A strong convergence theorem for relatively nonexpansive mappings in a Banach space. Zbl 1071.47063
Matsushita, Shin-ya; Takahashi, Wataru
2005
Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings. Zbl 1130.90055
2006
A convexity in metric space and nonexpansive mappings. I. Zbl 0268.54048
Takahashi, Wataru
1970
Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces. Zbl 1170.47049
Takahashi, Wataru; Zembayashi, Kei
2009
Nonconvex minimization theorems and fixed point theorems in complete metric spaces. Zbl 0897.54029
Kada, Osamu; Suzuki, Tomonari; Takahashi, Wataru
1996
Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space. Zbl 1142.47350
Takahashi, Satoru; Takahashi, Wataru
2008
Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem. Zbl 1147.47052
2007
Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces. Zbl 0888.47034
Shioji, Naoki; Takahashi, Wataru
1997
Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces. Zbl 1134.47052
Takahashi, Wataru; Takeuchi, Yukio; Kubota, Rieko
2008
Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings. Zbl 1093.47058
Iiduka, Hideaki; Takahashi, Wataru
2005
Approximating solutions of maximal monotone operators in Hilbert spaces. Zbl 0992.47022
Kamimura, Shoji; Takahashi, Wataru
2000
Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces. Zbl 1149.47045
Kohsaka, Fumiaki; Takahashi, Wataru
2008
Strong convergence to common fixed points of infinite nonexpansive mappings and applications. Zbl 0993.47037
Shimoji, Kazuya; Takahashi, Wataru
2001
Strong convergence theorems for maximal monotone operators with nonlinear mappings in Hilbert spaces. Zbl 1208.47071
Takahashi, S.; Takahashi, W.; Toyoda, M.
2010
Existence and approximation of fixed points of firmly nonexpansive-type mappings in Banach spaces. Zbl 1168.47047
Kohsaka, Fumiaki; Takahashi, Wataru
2008
Strong convergence theorem by a hybrid method for nonexpansive mappings and Lipschitz-continuous monotone mappings. Zbl 1143.47047
2006
On Reich’s strong convergence theorems for resolvents of accretive operators. Zbl 0599.47084
Takahashi, Wataru; Ueda, Yoichi
1984
Strong convergence to common fixed points of families of nonexpansive mappings. Zbl 0883.47075
Shimizu, Tomoo; Takahashi, Wataru
1997
Introduction to nonlinear and convex analysis. Zbl 1183.46001
Takahashi, Wataru
2009
Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings. Zbl 1187.47054
Takahashi, Wataru; Zembayashi, Kei
2008
Convergence theorems for nonexpansive mappings and feasibility problems. Zbl 0971.47040
Takahashi, W.; Shimoji, K.
2000
Strong convergence of an iterative sequence for maximal monotone operators in a Banach space. Zbl 1064.47068
Kohsaka, Fumiaki; Takahashi, Wataru
2004
Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces. Zbl 1088.47054
Matsushita, Shin-Ya; Takahashi, Wataru
2004
Fixed point theorems and weak convergence theorems for generalized hybrid mappings in Hilbert spaces. Zbl 1226.47053
Kocourek, Pavel; Takahashi, Wataru; Yao, Jen-Chih
2010
Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space. Zbl 1239.47054
Iemoto, Shigeru; Takahashi, Wataru
2009
Fixed point theorems for new nonlinear mappings in a Hilbert space. Zbl 1200.47078
Takahashi, Wataru
2010
Proximal point algorithms with Bregman functions in Banach spaces. Zbl 1105.47059
Kohsaka, Fumiaki; Takahashi, Wataru
2005
Approximation of solutions of variational inequalities for monotone mappings. Zbl 1060.49006
Iiduka, Hideaki; Takahashi, Wataru; Toyoda, Masashi
2004
Convex analysis & approximation of fixed points. (Totsu kaiseki to fudōten kinji.) Zbl 1089.49500
Takahashi, Wataru
2000
Weak convergence of an iterative sequence for accretive operators in Banach spaces. Zbl 1128.47056
Aoyama, Koji; Iiduka, Hideaki; Takahashi, Wataru
2006
Existence theorems generalizing fixed point theorems for multivalued mappings. Zbl 0760.47029
Takahashi, Wataru
1991
Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces. Zbl 0935.47039
Shioji, Naoki; Takahashi, Wataru
1998
Strong convergence theorems for a finite family of nonexpansive mappings and applications. Zbl 1055.47514
Atsushiba, Sachiko; Takahashi, Wataru
1999
Fixed points of multivalued mappings in certain convex metric spaces. Zbl 0902.47049
Shimizu, Tomoo; Takahashi, Wataru
1996
A nonlinear ergodic theorem for an amenable semigroup of nonexpansive mappings in a Hilbert space. Zbl 0456.47054
Takahashi, Wataru
1981
Nonlinear variational inequalities and fixed point theorems. Zbl 0314.47032
Takahashi, W.
1976
Iterative methods for generalized split feasibility problems in Hilbert spaces. Zbl 1326.47099
Takahashi, Wataru; Xu, Hong-Kun; Yao, Jen-Chin
2015
Strong convergence theorem for an equilibrium problem and a nonexpansive mapping. Zbl 1122.47055
2007
Image recovery by convex combinations of sunny nonexpansive retractions. Zbl 0815.47068
Kitahara, Shinya; Takahashi, Wataru
1993
The split common null point problem and the shrinking projection method in Banach spaces. Zbl 1338.47110
Takahashi, Satoru; Takahashi, Wataru
2016
Weak convergence of a projection algorithm for variational inequalities in a Banach space. Zbl 1129.49012
Iiduka, Hideaki; Takahashi, Wataru
2008
Weak and strong convergence of solutions to accretive operator inclusions and applications. Zbl 0981.47036
Kamimura, Shoji; Takahashi, Wataru
2000
Fixed point theorems and characterizations of metric completeness. Zbl 0902.47050
Suzuki, Tomonari; Takahashi, Wataru
1996
The common fixed point theory of singlevalued mappings and multivalued mappings. Zbl 0371.47042
Itoh, Shigeru; Takahashi, Wataru
1979
Strong convergence of approximants to fixed points of nonexpansive nonself-mappings in Banach spaces. Zbl 0947.47049
Takahashi, Wataru; Kim, Gang-Eun
1998
Two generalized strong convergence theorems of Halpern’s type in Hilbert spaces and applications. Zbl 06062770
Takahashi, Wataru; Wong, Ngai-Ching; Yao, Jen-Chih
2012
On a strongly nonexpansive sequence in Hilbert spaces. Zbl 1142.47030
Aoyama, Koji; Kimura, Yasunori; Takahashi, Wataru; Toyoda, Masashi
2007
Existence of nonexpansive retractions for amenable semigroups of nonexpansive mappings and nonlinear ergodic theorems in Banach spaces. Zbl 0923.47038
Lau, Anthony To-Ming; Shioji, Naoki; Takahashi, Wataru
1999
Weak and strong convergence theorems for families of nonexpansive mappings and their applications. Zbl 1012.47029
Takahashi, Wataru
1997
Approximation of fixed points for amenable semigroups of nonexpansive mappings in Banach spaces. Zbl 1123.47048
Lau, Anthony To-Ming; Miyake, Hiromichi; Takahashi, Wataru
2007
The split common null point problem in Banach spaces. Zbl 1458.47034
Takahashi, Wataru
2015
Weak and strong convergence theorems for maximal monotone operators in a Banach space. Zbl 1078.47050
Kamimura, Shoji; Kohsaka, Fumiaki; Takahashi, Wataru
2004
Nonexpansive retractions and nonlinear ergodic theorems in Banach spaces. Zbl 0679.47031
Hirano, Norimichi; Kido, Kazuo; Takahashi, Wataru
1988
Approximating common fixed points of two asymptotically nonexpansive mappings. Zbl 0985.47042
Khan, Safeer Hussain; Takahashi, Wataru
2001
The split feasibility problem in Banach spaces. Zbl 1319.47063
Takahashi, Wataru
2014
The shrinking projection method for a finite family of demimetric mappings with variational inequality problems in a Hilbert space. Zbl 1462.47043
Takahashi, Wataru; Wen, Ching-Feng; Yao, Jen-Chih
2018
Single-valued mappings, multivalued mappings and fixed-point theorems. Zbl 0351.47040
Itoh, Shigeru; Takahashi, Wataru
1977
Weak and strong convergence theorems for nonspreading mappings in Hilbert spaces. Zbl 1229.47117
Kurokawa, Yu; Takahashi, Wataru
2010
Maximal monotone operators and maximal monotone functions for equilibrium problems. Zbl 1165.47036
Aoyama, Koji; Kimura, Yasunori; Takahashi, Wataru
2008
Contractive mappings, Kannan mappings and metric completeness. Zbl 0955.54009
Shioji, Naoki; Suzuki, Tomonari; Takahashi, Wataru
1998
Convergence theorems for a pair of nonexpansive mappings. Zbl 0916.47042
Takahashi, Wataru; Tamura, Takayuki
1998
Invariant means and fixed point properties for nonexpansive representations of topological semigroups. Zbl 0834.43001
Lau, Anthony To-Ming; Takahashi, Wataru
1995
The split feasibility problem and the shrinking projection method in Banach spaces. Zbl 1343.47074
Takahashi, Wataru
2015
Strong convergence to common fixed points of families of nonexpansive mappings in Banach spaces. Zbl 1125.49024
Nakajo, K.; Shimoji, K.; Takahashi, W.
2007
A new projection and convergence theorems for the projections in Banach spaces. Zbl 1152.46012
Ibaraki, Takanori; Takahashi, Wataru
2007
Approximating fixed points of nonexpansive mappings in Banach spaces. Zbl 0913.47056
Takahashi, Wataru; Kim, Gang-Eun
1998
On a hybrid method for a family of relatively nonexpansive mappings in a Banach space. Zbl 1166.47058
Kimura, Yasunori; Takahashi, Wataru
2009
Fixed point and ergodic theorems for $$\lambda$$-hybrid mappings in Hilbert spaces. Zbl 1208.47045
Aoyama, Koji; Iemoto, Shigeru; Kohsaka, Fumiaki; Takahashi, Wataru
2010
Weak convergence and nonlinear ergodic theorems for reversible semigroup of nonexpansive mappings. Zbl 0587.47058
Lau, Anthony To-Ming; Takahashi, Wataru
1987
Weak convergence theorems by Cesàro means for nonexpansive mappings and inverse-strongly-monotone mappings. Zbl 1104.47059
Iiduka, Hideaki; Takahashi, Wataru
2006
Strong convergence of averaged approximants for asymptotically nonexpansive mappings in Banach spaces. Zbl 0932.47042
Shioji, Naoki; Takahashi, Wataru
1999
Three generalizations of firmly nonexpansive mappings: their relations and continuity properties. Zbl 1168.47042
Aoyama, Koji; Kohsaka, Fumiaki; Takahashi, Wataru
2009
Strong convergence theorems by the hybrid method for families of nonexpansive mappings in Hilbert spaces. Zbl 1109.47060
Nakajo, K.; Shimoji, K.; Takahashi, W.
2006
Strong convergence theorems for nonexpansive nonself-mappings without boundary conditions. Zbl 1169.47052
Matsushita, Shin-Ya; Takahashi, Wataru
2008
Strong convergence studied by a hybrid type method for monotone operators in a Banach space. Zbl 1220.47095
Iiduka, Hideaki; Takahashi, Wataru
2008
The split common fixed point problem and the shrinking projection method in Banach spaces. Zbl 06843163
Takahashi, Wataru
2017
Iterative methods for approximation of fixed points and their applications. Zbl 1004.65069
Takahashi, Wataru
2000
Fixed point theorem for amenable semigroup of nonexpansive mappings. Zbl 0197.11805
Takahashi, W.
1969
Invariant submeans and semigroups of nonexpansive mappings on Banach spaces with normal structure. Zbl 0862.43001
Lau, Anthony To-Ming; Takahashi, Wataru
1996
Nonlinear ergodic theorems for nonexpansive mappings in Hilbert spaces. Zbl 0404.47031
Hirano, Norimichi; Takahashi, Wataru
1979
Nonlinear ergodic theorem without convexity for generalized hybrid mappings in a Hilbert space. Zbl 1230.47085
Takahashi, Wataru; Takeuchi, Yukio
2011
Fixed point theorems and ergodic theorems for nonlinear mappings in Hilbert spaces. Zbl 1437.47027
Takahashi, Wataru; Yao, Jen-Chih
2011
Strong convergence theorems by hybrid methods for the split common null point problem in Banach spaces. Zbl 1344.47049
Takahashi, Wataru; Yao, Jen-Chih
2015
Strong convergence theorem for asymptotically nonexpansive mappings. Zbl 0861.47030
Shimizu, Tomoo; Takahashi, Wataru
1996
Limit theorems of operators by convex combinations of nonexpansive retractions in Banach spaces. Zbl 0904.47045
Takahashi, Wataru; Tamura, Takayuki
1997
Strong convergence theorems for resolvents of maximal monotone operators in Banach spaces. Zbl 1067.47080
Ohsawa, Shigeo; Takahashi, Wataru
2003
Approximating zero points of accretive operators in general Banach spaces. Zbl 1139.47044
Eshita, Kazutaka; Takahashi, Wataru
2007
Weak convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space. Zbl 1247.47070
Manaka, Hiroko; Takahashi, Wataru
2011
Generalized retraction and fixed point theorems using Bregman functions in Banach spaces. Zbl 1252.47057
Naraghirad, Eskandar; Takahashi, Wataru; Yao, Jen-Chih
2012
Convergence theorems for generalized projections and maximal monotone operators in Banach spaces. Zbl 1045.47041
Ibaraki, Takanori; Kimura, Yasunori; Takahashi, Wataru
2003
Viscosity approximation methods for resolvents of accretive operators in Banach spaces. Zbl 1132.47055
Takahashi, Wataru
2007
Viscosity approximation methods for countable families of nonexpansive mappings in Banach spaces. Zbl 1170.47048
Takahashi, Wataru
2009
Proximal point algorithms and four resolvents of nonlinear operators of monotone type in Banach spaces. Zbl 1215.47092
Takahashi, Wataru
2008
Weak convergence theorems to common attractive points of normally 2-generalized hybrid mappings with errors. Zbl 07356778
Kondo, Atsumasa; Takahashi, Wataru
2020
Strong convergence theorems to common attractive points of normally 2-generalized hybrid mappings and an application. Zbl 1492.47072
Kondo, Atsumasa; Takahashi, Wataru
2020
Attractive point, weak and strong convergence theorems for generic 2-generalized hybrid mappings in Hilbert spaces. Zbl 1481.47102
Kondo, Atsumasa; Takahashi, Wataru
2020
The split common fixed point problem for generalized demimetric mappings in two Banach spaces. Zbl 07007078
Takahashi, Wataru
2019
Approximation of a common attractive point of noncommutative normally 2-generalized hybrid mappings in Hilbert spaces. Zbl 1484.47183
Kondo, Atsumasa; Takahashi, Wataru
2019
The split common fixed point problem for two infinite families of nonlinear mappings in Hilbert spaces. Zbl 1478.47054
Takahashi, Wataru; Yao, Jen-Chih
2019
Strong convergence theorems by hybrid methods for new demimetric mappings in Banach spaces. Zbl 07036238
Takahashi, Wataru
2019
A strong convergence theorem by Halpern type iteration for a finite family of generalized demimetric mappings in a Hilbert space. Zbl 07313924
Takahashi, Wataru; Wen, Ching-Feng; Yao, Jen-Chih
2019
Attractive point and nonlinear ergodic theorems for generic 2-generalized hybrid mappings in Hilbert spaces. Zbl 1454.47073
Kondo, Atsumasa; Takahashi, Wataru
2019
Strong convergence theorems by hybrid methods for noncommutative normally 2-generalized hybrid mappings in Hilbert spaces. Zbl 1491.47081
Takahashi, Wataru; Wen, Ching-Feng; Yao, Jen-Chih
2019
The shrinking projection method for a finite family of demimetric mappings with variational inequality problems in a Hilbert space. Zbl 1462.47043
Takahashi, Wataru; Wen, Ching-Feng; Yao, Jen-Chih
2018
A general iterative method for split common fixed point problems in Hilbert spaces and applications. Zbl 1474.47138
Takahashi, Wataru
2018
Weak and strong convergence theorems for new demimetric mappings and the split common fixed point problem in Banach spaces. Zbl 06949138
Takahashi, Wataru
2018
A strong convergence theorem for countable families of nonlinear nonself mappings in Hilbert spaces and applications. Zbl 07289857
Kawasaki, Toshiharu; Takahashi, Wataru
2018
Weak and strong convergence theorems for commutative normally 2-generalized hybrid mappings in Hilbert spaces. Zbl 07304698
Hojo, Mayumi; Kondo, Atsumasa; Takahashi, Wataru
2018
Weak and strong convergence theorems for noncommutative two generalized hybrid mappings in Hilbert spaces. Zbl 07289877
Takahashi, Wataru
2018
Strong convergence theorems of Halpern’s type for normally 2-generalized hybrid mappings in Hilbert spaces. Zbl 1451.47005
Kondo, Atsumasa; Takahashi, Wataru
2018
Weak and strong convergence theorems for commutative 2-generalized nonspreading mappings in Banach spaces. Zbl 06876362
Alsulami, Saud M.; Latif, Abdul; Takahashi, Wataru
2018
The split common fixed point problem and the shrinking projection method in Banach spaces. Zbl 06843163
Takahashi, Wataru
2017
Strong convergence theorem for a finite family of demimetric mappings with variational inequality problems in a Hilbert space. Zbl 1368.47087
Takahashi, Wataru
2017
The split common fixed point problem and the shrinking projection method for new nonlinear mappings in two Banach spaces. Zbl 1474.47137
Takahashi, Wataru
2017
Strong convergence theorem by shrinking projection method for new nonlinear mappings in Banach spaces and applications. Zbl 1373.49005
Takahashi, Wataru; Wen, Ching-Feng; Yao, Jen-Chih
2017
Attractive point and weak convergence theorems for normally $$N$$-generalized hybrid mappings in Hilbert spaces. Zbl 1424.47123
Kondo, Atsumasa; Takahashi, Wataru
2017
The split common null point problem for generalized resolvents in two Banach spaces. Zbl 06787454
Takahashi, Wataru
2017
Strong convergence theorems for an infinite family of demimetric mappings in a Hilbert space. Zbl 1493.47114
Komiya, Hidetoshi; Takahashi, Wataru
2017
Attractive point and ergodic theorems for two nonlinear mappings in Hilbert spaces. Zbl 1424.47130
Hojo, Mayumi; Takahashi, Satoru; Takahashi, Wataru
2017
Weak and strong convergence theorems for families of nonlinear and nonself mappings in Hilbert spaces. Zbl 1443.47076
Takahashi, Wataru
2017
Mann and Halpern iterations for the split common fixed point problem in Banach spaces. Zbl 1466.47060
Takahashi, Wataru
2017
Fixed point and weak convergence theorems for nonlinear hybrid mappings in Banach spaces. (Fixed point and weak convergence theorems for monlinear hybrid mappings in Banach spaces.) Zbl 1466.47037
Hojo, Mayumi; Takahashi, Wataru
2017
Weak convergence theorem for a finite family of demimetric mappings with variational inequality problems in a Hilbert space. Zbl 1474.47130
Lin, Chien-Nan; Takahashi, Wataru
2017
Split common fixed point problems and hierarchical variational inequality problems in Hilbert spaces. Zbl 06847090
Takahashi, Wataru; Wen, Ching-Feng; Yao, Jen-Chih
2017
Strong convergence theorems by hybrid methods for families of demimetric mappings in Banach spaces and applications. Zbl 06867310
Takahashi, Wataru
2017
The split common fixed point problem and the hybrid method for demigeneralized mappings in two Banach spaces and applications. Zbl 1477.47074
Takahashi, Wataru
2017
Weak and strong convergence theorems for two commutative nonlinear mappings in Hilbert spaces. Zbl 1477.47068
Hojo, Mayumi; Takahashi, Wataru
2017
An implicit algorithm for the split common fixed point problem in Hilbert spaces and applications. Zbl 1484.47085
Takahashi, Wataru; Wen, Ching-Feng; Yao, Jen-Chih
2017
The split common null point problem and the shrinking projection method in Banach spaces. Zbl 1338.47110
Takahashi, Satoru; Takahashi, Wataru
2016
The split common fixed point problem and strong convergence theorems by hybrid methods in two Banach spaces. (The split common fixed point problem and strong convegence theorems by hybrid methods in two Banach spaces.) Zbl 1448.47075
Takahashi, Wataru
2016
Extensions of Browder’s demiclosedness principle and Reich’s lemma and their applications. Zbl 1384.47023
Kubota, Rieko; Takahashi, Wataru; Takeuchi, Yukio
2016
A strong convergence theorem by the shrinking projection method for the split common null point problem in Banach spaces. Zbl 1351.47048
Hojo, Mayumi; Takahashi, Wataru
2016
Strongly convergent iterative method for the split common null point problem in Banach spaces. Zbl 06673744
Alofi, A. S.; Alsulami, Saud M.; Takahashi, Wataru
2016
Split common null point problem and shrinking projection method for generalized resolvents in two Banach spaces. Zbl 1478.47088
Takahashi, Satoru; Takahashi, Wataru
2016
The split common fixed point problem with families of mappings and hybrid methods in two Banach spaces. Zbl 06661908
Takahashi, Wataru; Wen, Ching-Feng; Yao, Jen-Chih
2016
Existence theorems for single-valued and set-valued mappings with $$w$$-distances in metric spaces. Zbl 06581884
Kaneko, Soh; Takahashi, Wataru; Wen, Ching-Feng; Yao, Jen-Chih
2016
The split common fixed point problem with families of mappings and strong convergence theorems by hybrid methods in Banach spaces. Zbl 06820448
Takahashi, Wataru
2016
Strong convergence theorems by hybrid methods for demimetric mappings in Banach spaces. Zbl 1477.47085
Hojo, Mayumi; Takahashi, Wataru
2016
Weak convergence theorem for an infinite family of demimetric mappings in a Hilbert space. Zbl 1381.47043
Akashi, Shigeo; Takahashi, Wataru
2016
A strong convergence theorem by the hybrid method for finite families of nonlinear and nonself mappings in a Hilbert space. Zbl 1382.47012
Alsulami, Saud M.; Takahashi, Wataru
2016
Iterative methods for generalized split feasibility problems in Hilbert spaces. Zbl 1326.47099
Takahashi, Wataru; Xu, Hong-Kun; Yao, Jen-Chin
2015
The split common null point problem in Banach spaces. Zbl 1458.47034
Takahashi, Wataru
2015
The split feasibility problem and the shrinking projection method in Banach spaces. Zbl 1343.47074
Takahashi, Wataru
2015
Strong convergence theorems by hybrid methods for the split common null point problem in Banach spaces. Zbl 1344.47049
Takahashi, Wataru; Yao, Jen-Chih
2015
Iterative methods for the split feasibility problem in Banach spaces. Zbl 1315.47060
Alsulami, Saud M.; Takahashi, Wataru
2015
The split common null point problem in two Banach spaces. Zbl 1336.47059
Takahashi, Wataru
2015
The split common null point problem and the shrinking projection method in two Banach spaces. Zbl 1338.47109
Takahashi, Satoru; Takahashi, Wataru
2015
The split common null point problem and Halpern-type strong convergence theorem in Hilbert spaces. Zbl 1320.47062
Alofi, A. S.; Alsulami, Saud M.; Takahashi, W.
2015
Strong convergence theorems by hybrid methods for split feasibility problems in Hilbert spaces. Zbl 1336.47062
Alsulami, Saud M.; Latif, Abdul; Takahashi, Wataru
2015
Strong convergence theorems by hybrid methods for the split feasibility problem in Banach spaces. (Strong convegence theorems by hybrid methods for the split feasibility problem in Banach spaces.) Zbl 1326.47077
Alsulami, Saud M.; Latif, Abdul; Takahashi, Wataru
2015
The split common fixed point problem and the hybrid method in Banach spaces. Zbl 1338.47093
Hojo, Mayumi; Takahashi, Wataru
2015
Attractive points and Halpern-type strong convergence theorems in Hilbert spaces. Zbl 1323.47078
Takahashi, Wataru; Wong, Ngai-Ching; Yao, Jen-Chih
2015
Fixed point theorems for generalized hybrid demicontinuous mappings in Hilbert spaces. Zbl 1326.47065
Kawasaki, Toshiharu; Takahashi, Wataru
2015
Weakly convergent iterative method for the split common null point problem in Banach spaces. Zbl 1349.47103
Alsulami, Saud M.; Hussain, Nawab; Takahashi, Wataru
2015
Weak convergence theorems for families of nonlinear mappings with generalized parameters. Zbl 1314.47104
Chuang, Chih-Sheng; Takahashi, Wataru
2015
Attractive point and mean convergence theorems for new generalized nonspreading mappings in Banach spaces. Zbl 1422.47056
Takahashi, Wataru; Wong, Ngai-Ching; Yao, Jen-Chih
2015
Generalized split feasibility problems and weak convergence theorems in Hilbert spaces. Zbl 1326.47094
Plubtieng, Somyot; Takahashi, Wataru
2015
The split feasibility problem in Banach spaces. Zbl 1319.47063
Takahashi, Wataru
2014
The split common null point problem for maximal monotone mappings in Hilbert spaces and applications. Zbl 1296.47044
Alsulami, Saud M.; Takahashi, Wataru
2014
Attractive point and mean convergence theorems for semigroups of mappings without continuity in Hilbert spaces. Zbl 1318.47076
Takahashi, Wataru; Wong, Ngai-Ching; Yao, Jen-Chih
2014
Strong convergence of projection methods for Bregman asymptotically quasi-nonexpansive mappings and equilibrium problems in Banach spaces. Zbl 06307051
Naraghirad, Eskandar; Takahashi, Wataru; Yao, Jen-Chih
2014
Nonlinear ergodic theorem for positively homogeneous nonexpansive mappings in Banach spaces. Zbl 1457.47008
Takahashi, Wataru; Wong, Ngai-Ching; Yao, Jen-Chih
2014
Weak and strong convergence theorems for commutative families of positively homogeneous nonexpansive mappings in Banach spaces. Zbl 1307.47089
Takahashi, Wataru; Wong, Ngai-Ching; Yao, Jen-Chih
2014
Nonlinear ergodic theorem for commutative families of positively homogeneous nonexpansive mappings in Banach spaces and applications. Zbl 1483.47090
Takahashi, Wataru; Wong, Ngai-Ching; Yao, Jen-Chih
2014
Strong convergence theorems for maximal and inverse-strongly monotone mappings in Hilbert spaces and applications. Zbl 1292.90297
Takahashi, W.
2013
Existence and mean approximation of fixed points of generalized hybrid mappings in Hilbert spaces. Zbl 1269.47041
Kawasaki, Toshiharu; Takahashi, Wataru
2013
Halpern’s type iterations with perturbations in Hilbert spaces: equilibrium solutions and fixed points. Zbl 06195808
Chuang, Chih-Sheng; Lin, Lai-Jiu; Takahashi, Wataru
2013
Weak and strong convergence theorems for semigroups of mappings without continuity in Hilbert spaces. Zbl 1418.47004
Hussain, Nawab; Takahashi, Wataru
2013
Nonlinear ergodic theorems without convexity for nonexpansive semigroups in Hilbert spaces. Zbl 1279.47077
Atsushiba, Sachiko; Takahashi, Wataru
2013
Fixed point theorems for new generalized hybrid mappings in Hilbert spaces and applications. Zbl 1303.47074
Takahashi, Wataru; Wong, Ngai-Ching; Yao, Jen-Chih
2013
Fixed point theorems for general contractive mappings with $$w$$-distances in metric spaces. Zbl 1282.54050
Takahashi, Wataru; Wong, Ngai-Ching; Yao, Jen-Chih
2013
Attractive point theorems for generalized nonspreading mappings in Banach spaces. Zbl 1276.47067
Lin, Lai-Jiu; Takahashi, Wataru
2013
Fixed point theorems and convergence theorems for generalized hybrid non-self mappings in Hilbert spaces. Zbl 1275.47112
Hojo, Mayumi; Suzuki, Takamasa; Takahashi, Wataru
2013
Attractive point theorems and ergodic theorems for 2-generalized nonspreading mappings in Banach spaces. Zbl 1266.47081
Lin, Lai-Jiu; Takahashi, Wataru; Yu, Zenn-Tsun
2013
Fixed point theorems for nonlinear non-self mappings in Hilbert spaces and applications. Zbl 1423.47032
Takahashi, Wataru; Wong, Ngai-Ching; Yao, Jen-Chih
2013
Existence and approximation of attractive points of the widely more generalized hybrid mappings in Hilbert spaces. Zbl 1437.47028
Guu, Sy-Ming; Takahashi, Wataru
2013
Positive stochastic matrices as contraction maps. Zbl 1302.15045
Shih, Mau-Hsiang; Takahashi, Wataru
2013
Two generalized strong convergence theorems of Halpern’s type in Hilbert spaces and applications. Zbl 06062770
Takahashi, Wataru; Wong, Ngai-Ching; Yao, Jen-Chih
2012
Generalized retraction and fixed point theorems using Bregman functions in Banach spaces. Zbl 1252.47057
Naraghirad, Eskandar; Takahashi, Wataru; Yao, Jen-Chih
2012
A general iterative method for hierarchical variational inequality problems in Hilbert spaces and applications. Zbl 1334.47068
Lin, Lai-Jiu; Takahashi, Wataru
2012
Attractive point and weak convergence theorems for new generalized hybrid mappings in Hilbert spaces. Zbl 1272.47068
Takahashi, Wataru; Wong, Ngai-Ching; Yao, Jen-Chih
2012
Strong convergence theorems for 2-generalized hybrid mappings in Hilbert spaces. Zbl 1295.47081
Hojo, Mayumi; Takahashi, Wataru; Termwuttipong, Imchit
2012
Fixed point theorems and convergence theorems for generalized nonspreading mappings in Banach spaces. Zbl 1286.47036
Takahashi, Wataru; Wong, Ngai-Ching; Yao, Jen-Chih
2012
Generalized hybrid mappings in Hilbert spaces and Banach spaces. Zbl 1277.47068
Hsu, Ming-Hsiu; Takahashi, Wataru; Yao, Jen-Chih
2012
Fixed point theorems for contractively generalized hybrid mappings in complete metric spaces. Zbl 1244.54094
Lin, Lai-Jiu; Takahashi, Wataru; Wang, Sung-Yu
2012
Fixed point theorems for single-valued and set-valued mappings on complete metric spaces. Zbl 1278.54027
Chuang, Chih-Sheng; Lin, Lai-Jiu; Takahashi, Wataru
2012
Attractive point theorems and ergodic theorems for nonlinear mappings in Hilbert spaces. Zbl 1269.47038
Lin, Lai-Jiu; Takahashi, Wataru
2012
Iterative common solutions for monotone inclusion problems, fixed point problems and equilibrium problems. Zbl 1475.47078
Takahashi, Wataru; Wong, Ngai-Ching; Yao, Jen-Chih
2012
Fixed point and nonlinear ergodic theorems for new nonlinear mappings in Hilbert spaces. Zbl 1260.47055
Kawasaki, Toshiharu; Takahashi, Wataru
2012
Strong convergence theorems by hybrid methods for countable families of nonlinear operators in Banach spaces. Zbl 1259.47081
Takahashi, Wataru; Yao, Jen-Chih
2012
Strong convergence theorem for nonexpansive mappings on star-shaped sets in Hilbert spaces. Zbl 1332.47036
Akashi, Shigeo; Takahashi, Wataru
2012
Strong convergence theorems by monotone hybrid method for a family of generalized nonexpansive mappings in Banach spaces. Zbl 06137985
Klin-Eam, Chakkrid; Suantai, Suthep; Takahashi, Wataru
2012
Nonlinear ergodic theorem without convexity for generalized hybrid mappings in a Hilbert space. Zbl 1230.47085
Takahashi, Wataru; Takeuchi, Yukio
2011
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