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

Habtu Zegeye, Naseer Shahzad, Yonghong Yao

Research output: Contribution to journalArticle

45 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

Fingerprint

Relatively Nonexpansive Mapping
Inverse-strongly Monotone Mapping
Fixed Point Problem
Variational Inequality Problem
Banach spaces
Nonlinear Operator
Iterative Process
Variational Inequalities
Fixed point
Banach space
Converge
Norm
Theorem
Class
Variational inequalities
Operator

All Science Journal Classification (ASJC) codes

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

Cite this

Zegeye, Habtu ; Shahzad, Naseer ; Yao, Yonghong. / Minimum-norm solution of variational inequality and fixed point problem in banach spaces. In: Optimization. 2015 ; Vol. 64, No. 2. pp. 453-471.
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Minimum-norm solution of variational inequality and fixed point problem in banach spaces. / Zegeye, Habtu; Shahzad, Naseer; Yao, Yonghong.

In: Optimization, Vol. 64, No. 2, 01.01.2015, p. 453-471.

Research output: Contribution to journalArticle

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