Hybrid iterative scheme for fixed point problem, infinite systems of equilibrium and variational inequality problems

Authors:
Yekini Shehu
Affiliations:
-
Venue:
Computers & Mathematics with Applications
Year:
2012

Citing 7
Cited 0

Strong Convergence of a Proximal-Type Algorithm in a Banach Space

SIAM Journal on Optimization
System of Generalized Vector Quasi-Equilibrium Problems with Applications to Fixed Point Theorems for a Family of Nonexpansive Multivalued Mappings

Journal of Global Optimization
Encyclopedia of Optimization

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

Journal of Approximation Theory
A strong convergence theorem for relatively nonexpansive mappings in a Banach space

Journal of Approximation Theory
Strong convergence theorems for relatively nonexpansive mappings in Banach spaces with applications

Computers & Mathematics with Applications
Strong convergence of a general iterative algorithm for equilibrium problems and variational inequality problems

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.09

Visualization

Abstract

The purpose of this paper is to construct a new iterative scheme by the hybrid method and prove a strong convergence theorem for the approximation of a common fixed point of two countable families of weak relatively nonexpansive mappings which is also a common solution to infinite systems of equilibrium and variational inequality problems in a uniformly smooth and strictly convex real Banach space with Kadec-Klee property using the properties of a generalized f-projection operator. Using this result, we give some applications. Our results extend many known recent results in the literature.