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

Monotone Operators

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 ◽

Monotone Operators ◽

Common Fixed Points ◽

Projection Algorithm ◽

The Common ◽

Hybrid Projection Algorithm

Iterative Schemes for Zero Points of Maximal Monotone Operators and Fixed Points of Nonexpansive Mappings and Their Applications

10.1155/2008/168468 ◽

2008 ◽

Vol 2008 ◽

pp. 1-12 ◽

Cited By ~ 7

Author(s):

Li Wei ◽

Yeol Je Cho

Keyword(s):

Fixed Points ◽

Nonexpansive Mappings ◽

Maximal Monotone ◽

Monotone Operators ◽

Iterative Schemes ◽

Zero Points

Approximating common fixed points of averaged self-mappings with applications to the split feasibility problem and maximal monotone operators in Hilbert spaces

10.1186/1687-1812-2013-190 ◽

2013 ◽

Vol 2013 (1) ◽

Cited By ~ 4

Author(s):

Young-Ye Huang ◽

Chung-Chien Hong

Keyword(s):

Fixed Points ◽

Hilbert Spaces ◽

Maximal Monotone ◽

Split Feasibility Problem ◽

Monotone Operators ◽

Common Fixed Points ◽

Feasibility Problem ◽

The Split Feasibility Problem ◽

Split Feasibility

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 ◽

Monotone Operators

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

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 ◽

Monotone Operators ◽

Relatively Nonexpansive

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 ◽

Monotone Operators ◽

Countable Family ◽

Generalized Projection ◽

Generalized Projection Method

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 ◽

Monotone Operators ◽

Relatively Nonexpansive ◽

Weak Convergence Theorem

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 ◽

Monotone Operators ◽

Convergence Theorems ◽

Relatively Nonexpansive

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

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 ◽

Monotone Operators ◽

Relatively Nonexpansive ◽

Generalized Equilibrium

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 ◽

Monotone Operators ◽

Relatively Nonexpansive ◽

Monotone Hybrid Algorithm