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

Habtu Zegeye; Naseer Shahzad; Yonghong Yao

doi:10.1080/02331934.2013.764522

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

Habtu Zegeye, Naseer Shahzad, Yonghong Yao

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article › peer-review

75 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 language	English
Pages (from-to)	453-471
Number of pages	19
Journal	Optimization
Volume	64
Issue number	2
DOIs	https://doi.org/10.1080/02331934.2013.764522
Publication status	Published - Feb 1 2015

All Science Journal Classification (ASJC) codes

Control and Optimization
Management Science and Operations Research
Applied Mathematics

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10.1080/02331934.2013.764522

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AB - 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.

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

Abstract

All Science Journal Classification (ASJC) codes

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