Approximation methods for a common minimum-norm point of a solution of variational inequality and fixed point problems in Banach spaces

N. Shahzad, H. Zegeye

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 im- prove most of the results that have been proved for this important class of nonlinear operators.

Original languageEnglish
Pages (from-to)773-788
Number of pages16
JournalBulletin of the Korean Mathematical Society
Volume51
Issue number3
DOIs
Publication statusPublished - Jan 1 2014

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Relatively Nonexpansive Mapping
Monotone Mapping
Fixed Point Problem
Variational Inequality Problem
Nonlinear Operator
Iterative Process
Approximation Methods
Variational Inequalities
Fixed point
Banach space
Converge
Norm
Theorem
Family
Class

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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