APPROXIMATION METHODS FOR A COMMON MINIMUM-NORM POINT OF A SOLUTION OF VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS IN BANACH SPACES

Title & Authors
APPROXIMATION METHODS FOR A COMMON MINIMUM-NORM POINT OF A SOLUTION OF VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS IN BANACH SPACES

Abstract
We introduce an iterative process which converges strongly to a common minimum-norm point of solutions of variational inequality problem for a monotone mapping and fixed points of a finite family of relatively nonexpansive mappings in Banach spaces. Our theorems improve most of the results that have been proved for this important class of nonlinear operators.
Keywords
monotone mappings;relatively nonexpansive mappings;strong convergence;variational inequality problems;
Language
English
Cited by
1.
An algorithm for finding a common point of the solutions of fixed point and variational inequality problems in Banach spaces, Arabian Journal of Mathematics, 2015, 4, 3, 199
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