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

Authors :
Zegeye, Habtu
Shahzad, Naseer
Yao, Yonghong
Source :
Optimization; Feb2015, Vol. 64 Issue 2, p453-471, 19p
Publication Year :
2015

Abstract

We introduce an iterative process which converges strongly to a common minimum-norm solution of a variational inequality problem for an-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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02331934
Volume :
64
Issue :
2
Database :
Complementary Index
Journal :
Optimization
Publication Type :
Academic Journal
Accession number :
100491958
Full Text :
https://doi.org/10.1080/02331934.2013.764522