Minimum-norm solution of variational inequality and fixed point problem in banach spaces

Habtu Zegeye, Naseer Shahzad, Yonghong Yao

Research output: Contribution to journalArticle

54 Citations (Scopus)

Abstract

We introduce an iterative process which converges strongly to a common minimum-norm solution of a variational inequality problem for an (Formula presented.) -inverse strongly monotone mapping and a fixed point of relatively non-expansive mapping in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of non-linear operators.

Original languageEnglish
Pages (from-to)453-471
Number of pages19
JournalOptimization
Volume64
Issue number2
DOIs
Publication statusPublished - Jan 1 2015

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All Science Journal Classification (ASJC) codes

  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics

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