scholarly journals Convergence of Iterative Sequences for Generalized Equilibrium Problems Involving Inverse-Strongly Monotone Mappings

2010 ◽  
Vol 2010 ◽  
pp. 1-16 ◽  
Author(s):  
Shin Min Kang ◽  
Sun Young Cho ◽  
Zeqing Liu
Keyword(s):  
Equilibrium Problems ◽  
Monotone Mappings ◽  
Strongly Monotone ◽  
Inverse Strongly Monotone ◽  
Generalized Equilibrium ◽  
Strongly Monotone Mappings

scholarly journals A New Iterative Method for the Set of Solutions of Equilibrium Problems and of Operator Equations with Inverse-Strongly Monotone Mappings

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Jong Kyu Kim ◽  
Nguyen Buong ◽  
Jae Yull Sim
Keyword(s):  
Hilbert Spaces ◽  
Equilibrium Problems ◽  
Finite Family ◽  
Common Element ◽  
Monotone Mappings ◽  
Operator Equations ◽  
Strongly Monotone ◽  
Inverse Strongly Monotone ◽  
Strongly Monotone Mappings ◽  
New Iterative Method

The purpose of the paper is to present a new iteration method for finding a common element for the set of solutions of equilibrium problems and of operator equations with a finite family ofλi-inverse-strongly monotone mappings in Hilbert spaces.

scholarly journals An Iterative Method with Norm Convergence for a Class of Generalized Equilibrium Problems

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Haixia Zhang ◽  
Fenghui Wang
Keyword(s):  
Fixed Point ◽  
Iterative Method ◽  
Strong Convergence ◽  
Equilibrium Problems ◽  
Nonexpansive Mappings ◽  
Monotone Mappings ◽  
Norm Convergence ◽  
Inverse Strongly Monotone ◽  
Generalized Equilibrium ◽  
Strongly Monotone Mappings

Recently, Takahashi and Takahashi proposed an iterative algorithm for solving a problem for finding common solutions of generalized equilibrium problems governed by inverse strongly monotone mappings and of fixed point problems for nonexpansive mappings. In this paper, we provide a result that allows for the removal of one condition ensuring the strong convergence of the algorithm.

scholarly journals Δ-convergence theorems for inverse-strongly monotone mappings in CAT(0) spaces

2018 ◽  
Vol 19 (1) ◽  
pp. 45-56 ◽  
Author(s):  
Sattar Alizadeh ◽  
◽  
Hossein Dehghan ◽  
Fridoun Moradlou ◽  
◽  
...  
Keyword(s):  
Monotone Mappings ◽  
Convergence Theorems ◽  
Strongly Monotone ◽  
Inverse Strongly Monotone ◽  
Strongly Monotone Mappings
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