An iteration to a common point of solution of variational inequality and fixed point-problems in banach spaces

H. Zegeye, N. Shahzad

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We introduce an iterative process which converges strongly to a common point of solution of variational inequality problem for a monotone mapping and fixed point of uniformly Lipschitzian relatively asymptotically nonexpansive mapping in Banach spaces. As a consequence, we provide a scheme that converges strongly to a common zero of finite family of monotone mappings under suitable conditions. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.

Original languageEnglish
Article number504503
JournalJournal of Applied Mathematics
Volume2012
DOIs
Publication statusPublished - Aug 17 2012

Fingerprint

Monotone Mapping
Fixed Point Problem
Banach spaces
Variational Inequalities
Banach space
Relatively Nonexpansive Mapping
Converge
Iteration
Asymptotically Nonexpansive Mapping
Variational Inequality Problem
Nonlinear Operator
Iterative Process
Fixed point
Zero
Theorem
Family
Class

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

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An iteration to a common point of solution of variational inequality and fixed point-problems in banach spaces. / Zegeye, H.; Shahzad, N.

In: Journal of Applied Mathematics, Vol. 2012, 504503, 17.08.2012.

Research output: Contribution to journalArticle

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