Shrinking Projection Methods for Maximal Monotone Operators and Quasi-nonexpansive Mappings

2010 International Conference on Computational Aspects of Social Networks ◽

10.1109/cason.2010.63 ◽

2010 ◽

Author(s):

Xinghui Gao ◽

Lerong Ma

Keyword(s):

Nonexpansive Mappings ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Projection Methods ◽

Shrinking Projection Methods

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Hybrid algorithm for maximal monotone operators, quasi-ϕ-nonexpansive mappings and equilibrium problems in banach spaces

2011 International Conference on Machine Learning and Cybernetics ◽

10.1109/icmlc.2011.6016826 ◽

2011 ◽

Author(s):

Shu-Xin Fan ◽

Li-Ling Duan ◽

Wei Li

Keyword(s):

Banach Spaces ◽

Hybrid Algorithm ◽

Equilibrium Problems ◽

Nonexpansive Mappings ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators

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Modified Halpern-type iterative methods for relatively nonexpansive mappings and maximal monotone operators in Banach spaces

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2014-237 ◽

2014 ◽

Vol 2014 (1) ◽

Cited By ~ 1

Author(s):

Huan-chun Wu ◽

Cao-zong Cheng

Keyword(s):

Banach Spaces ◽

Iterative Methods ◽

Nonexpansive Mappings ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive

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A New Algorithm for Finding Fixed Points of Bregman Quasi-Nonexpansive Mappings and Zeros of Maximal Monotone Operators by Using Products of Resolvents

Results in Mathematics ◽

10.1007/s00025-016-0604-1 ◽

2016 ◽

Vol 71 (3-4) ◽

pp. 1307-1326 ◽

Cited By ~ 4

Author(s):

G. Zamani Eskandani ◽

M. Raeisi

Keyword(s):

Fixed Points ◽

Nonexpansive Mappings ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators

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Computational of generalized projection method for maximal monotone operators and a countable family of relatively quasi-nonexpansive mappings

Optimization ◽

10.1080/02331934.2013.824444 ◽

2013 ◽

Vol 64 (12) ◽

pp. 2531-2552 ◽

Cited By ~ 2

Author(s):

Siwaporn Saewan ◽

Poom Kumam

Keyword(s):

Projection Method ◽

Nonexpansive Mappings ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Countable Family ◽

Generalized Projection ◽

Generalized Projection Method

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A weak convergence theorem for relatively nonexpansive mappings and maximal monotone operators in a Banach space

Journal of Applied and Numerical Optimization ◽

10.23952/jano.3.2021.1.11 ◽

2021 ◽

Vol 3 (1) ◽

Keyword(s):

Banach Space ◽

Weak Convergence ◽

Convergence Theorem ◽

Nonexpansive Mappings ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive ◽

Weak Convergence Theorem

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The hybrid projection algorithm for finding the common fixed points of nonexpansive mappings and the zeroes of maximal monotone operators in Banach spaces

Optimization ◽

10.1080/02331934.2012.724686 ◽

2012 ◽

Vol 63 (9) ◽

pp. 1319-1338 ◽

Cited By ~ 6

Author(s):

Siwaporn Saewan ◽

Poom Kumam ◽

Preedaporn Kanjanasamranwong

Keyword(s):

Fixed Points ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Common Fixed Points ◽

Projection Algorithm ◽

The Common ◽

Hybrid Projection Algorithm

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Iterative convergence theorems for maximal monotone operators and relatively nonexpansive mappings

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-008-1951-9 ◽

2008 ◽

Vol 23 (3) ◽

pp. 319-325 ◽

Cited By ~ 7

Author(s):

Li Wei ◽

Yong-fu Su ◽

Hai-yun Zhou

Keyword(s):

Nonexpansive Mappings ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Convergence Theorems ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive

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Hybrid Proximal-Type Algorithms for Generalized Equilibrium Problems, Maximal Monotone Operators, and Relatively Nonexpansive Mappings

Fixed Point Theory and Applications ◽

10.1155/2011/973028 ◽

2011 ◽

Vol 2011 ◽

pp. 1-23 ◽

Cited By ~ 1

Author(s):

Lu-Chuan Zeng ◽

Q. H. Ansari ◽

S. Al-Homidan

Keyword(s):

Equilibrium Problems ◽

Nonexpansive Mappings ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive ◽

Generalized Equilibrium

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New monotone hybrid algorithm for hemi-relatively nonexpansive mappings and maximal monotone operators

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.12.015 ◽

2011 ◽

Vol 217 (12) ◽

pp. 5458-5465 ◽

Cited By ~ 4

Author(s):

Yongfu Su ◽

Mengqin Li ◽

Hong Zhang

Keyword(s):

Hybrid Algorithm ◽

Nonexpansive Mappings ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive ◽

Monotone Hybrid Algorithm

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New iterative schemes for strongly relatively nonexpansive mappings and maximal monotone operators

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-010-2195-z ◽

2010 ◽

Vol 25 (2) ◽

pp. 199-208 ◽

Cited By ~ 4

Author(s):

Li Wei ◽

Yong-fu Su ◽

Hai-yun Zhou

Keyword(s):

Nonexpansive Mappings ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Iterative Schemes ◽

Relatively Nonexpansive Mappings ◽

Relatively Nonexpansive

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