scholarly journals General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces

2011 ◽  
Vol 2011 (1) ◽  
pp. 783502 ◽  
Author(s):  
Xue-song Li ◽  
Nan-jing Huang ◽  
JongKyu Kim
Keyword(s):  
Fixed Points ◽  
Hilbert Spaces ◽  
Common Fixed Points ◽  
Approximation Methods ◽  
Viscosity Approximation ◽  
Nonexpansive Semigroups ◽  
Viscosity Approximation Methods

scholarly journals Viscosity Approximation Methods for * −Nonexpansive Multi-Valued Mappings in Convex Metric Spaces

Axioms ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 10
Author(s):  
Azadeh Ghanifard ◽  
Hashem Parvaneh Masiha ◽  
Manuel De La Sen ◽  
Maryam Ramezani
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Approximation Methods ◽  
Viscosity Approximation ◽  
Convergence Theorems ◽  
Convex Metric Spaces ◽  
Viscosity Approximation Methods

In this paper, we prove convergence theorems for viscosity approximation processes involving * −nonexpansive multi-valued mappings in complete convex metric spaces. We also consider finite and infinite families of such mappings and prove convergence of the proposed iteration schemes to common fixed points of them. Our results improve and extend some corresponding results.

scholarly journals Viscosity Approximation Methods for Equilibrium Problems, Variational Inequality Problems of Infinitely Strict Pseudocontractions in Hilbert Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-20
Author(s):  
Aihong Wang
Keyword(s):  
Variational Inequality ◽  
Hilbert Spaces ◽  
Equilibrium Problems ◽  
Iterative Scheme ◽  
Common Element ◽  
Approximation Methods ◽  
Viscosity Approximation Method ◽  
Viscosity Approximation ◽  
Pseudocontractive Mappings ◽  
Viscosity Approximation Methods

We introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of the solutions of the equilibrium problem and the set of fixed points of infinitely strict pseudocontractive mappings. Strong convergence theorems are established in Hilbert spaces. Our results improve and extend the corresponding results announced by many others recently.

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