Extragradient method for solutions of variational inequality problems in Banach spaces

H. Zegeye, N. Shahzad

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We introduce an iterative process which converges strongly to solutions of a certain variational inequity problem for η -inverse strongly accretive mappings in the set of common fixed points of finite family of strictly pseudocontractive mappings in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.

Original languageEnglish
Article number832548
JournalAbstract and Applied Analysis
Volume2013
DOIs
Publication statusPublished - Aug 5 2013

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Accretive Mapping
Strictly Pseudocontractive Mapping
Extragradient Method
Variational Inequality Problem
Banach spaces
Nonlinear Operator
Iterative Process
Common Fixed Point
Variational Problem
Banach space
Converge
Theorem
Family
Class

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Extragradient method for solutions of variational inequality problems in Banach spaces. / Zegeye, H.; Shahzad, N.

In: Abstract and Applied Analysis, Vol. 2013, 832548, 05.08.2013.

Research output: Contribution to journalArticle

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