Strong convergence theorems for two countable families of weak relatively nonexpansive mappings and applications

Yongfu Su; Hong-kun Xu; Xin Zhang

doi:10.1016/j.na.2010.08.021

Strong convergence theorems for two countable families of weak relatively nonexpansive mappings and applications

Nonlinear Analysis ◽

10.1016/j.na.2010.08.021 ◽

2010 ◽

Vol 73 (12) ◽

pp. 3890-3906 ◽

Cited By ~ 49

Author(s):

Yongfu Su ◽

Hong-kun Xu ◽

Xin Zhang

Keyword(s):

Strong Convergence ◽

Nonexpansive Mappings ◽

Convergence Theorems ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive

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Strong convergence theorems for a common fixed point of two hemi-relatively nonexpansive mappings

Nonlinear Analysis ◽

10.1016/j.na.2009.04.053 ◽

2009 ◽

Vol 71 (11) ◽

pp. 5616-5628 ◽

Cited By ~ 27

Author(s):

Yongfu Su ◽

Ziming Wang ◽

Hongkun Xu

Keyword(s):

Fixed Point ◽

Strong Convergence ◽

Common Fixed Point ◽

Nonexpansive Mappings ◽

Convergence Theorems ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive

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Strong convergence theorems for countable families of asymptotically relatively nonexpansive mappings with applications

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.08.055 ◽

2011 ◽

Vol 218 (7) ◽

pp. 3187-3198 ◽

Cited By ~ 10

Author(s):

Shih-sen Chang ◽

H.W. Joseph Lee ◽

Chi Kin Chan ◽

Jing ai Liu

Keyword(s):

Strong Convergence ◽

Nonexpansive Mappings ◽

Convergence Theorems ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive

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Strong convergence theorems by Halpern-Mann iterations for multi-valued relatively nonexpansive mappings in Banach spaces with applications

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2012-73 ◽

2012 ◽

Vol 2012 (1) ◽

pp. 73

Author(s):

Jin-hua Zhu ◽

Shih-sen Chang ◽

Min Liu

Keyword(s):

Strong Convergence ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Convergence Theorems ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive

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Strong convergence theorems for hemi-relatively nonexpansive mappings

2010 2nd International Conference on Future Computer and Communication ◽

10.1109/icfcc.2010.5497357 ◽

2010 ◽

Author(s):

Xiufang Liu

Keyword(s):

Strong Convergence ◽

Nonexpansive Mappings ◽

Convergence Theorems ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive

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Strong convergence theorems for relatively nonexpansive mappings in Banach spaces with applications

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.06.013 ◽

2010 ◽

Vol 60 (5) ◽

pp. 1322-1331 ◽

Cited By ~ 37

Author(s):

Xi Li ◽

Nan-jing Huang ◽

Donal O’Regan

Keyword(s):

Strong Convergence ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Convergence Theorems ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive

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Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space

Journal of Approximation Theory ◽

10.1016/j.jat.2007.04.014 ◽

2007 ◽

Vol 149 (2) ◽

pp. 103-115 ◽

Cited By ~ 68

Author(s):

Somyot Plubtieng ◽

Kasamsuk Ungchittrakool

Keyword(s):

Banach Space ◽

Fixed Point ◽

Strong Convergence ◽

Common Fixed Point ◽

Nonexpansive Mappings ◽

Convergence Theorems ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive

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Strong Convergence Theorems of Modified Ishikawa Iterations for Countable Hemi-Relatively Nonexpansive Mappings in a Banach Space

Fixed Point Theory and Applications ◽

10.1155/2009/483497 ◽

2009 ◽

Vol 2009 (1) ◽

pp. 483497 ◽

Cited By ~ 2

Author(s):

Narin Petrot ◽

Kriengsak Wattanawitoon ◽

Poom Kumam

Keyword(s):

Banach Space ◽

Strong Convergence ◽

Nonexpansive Mappings ◽

Convergence Theorems ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive

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Strong convergence theorems for equilibrium problems and weak Bregman relatively nonexpansive mappings in Banach spaces

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2013-119 ◽

2013 ◽

Vol 2013 (1) ◽

pp. 119 ◽

Cited By ~ 8

Author(s):

Ravi P Agarwal ◽

Jia-Wei Chen ◽

Yeol Cho

Keyword(s):

Strong Convergence ◽

Banach Spaces ◽

Equilibrium Problems ◽

Nonexpansive Mappings ◽

Convergence Theorems ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive

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Strong convergence theorems for relatively nonexpansive mappings and Lipschitz-continuous monotone mappings in Banach spaces

Indian Journal of Pure and Applied Mathematics ◽

10.1007/s13226-019-0373-0 ◽

2019 ◽

Vol 50 (4) ◽

pp. 1049-1065

Author(s):

Ying Liu ◽

Hang Kong

Keyword(s):

Strong Convergence ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Monotone Mappings ◽

Convergence Theorems ◽

Lipschitz Continuous ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive

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Strong convergence theorems for mixed equilibrium problems and Bregman relatively nonexpansive mappings in reflexive Banach spaces

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.014.02.02 ◽

2020 ◽

Vol 14 (02) ◽

pp. 63-79

Author(s):

Kittisak Jantakarn ◽

Anchalee Kaewcharoen

Keyword(s):

Strong Convergence ◽

Banach Spaces ◽

Equilibrium Problems ◽

Nonexpansive Mappings ◽

Reflexive Banach Spaces ◽

Convergence Theorems ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive ◽

Mixed Equilibrium Problems ◽

Mixed Equilibrium

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