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Minimum-norm solution of variational inequality and fixed point problem in banach spaces
Journal article   Peer reviewed

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

Habtu Zegeye, Naseer Shahzad, Yonghong Yao and Nadia Shahzad
Optimization, Vol.64(2), pp.453-471
01/02/2015
DOI: https://doi.org/10.1080/02331934.2013.764522

Abstract

47J25 Monotone mappings relatively asymptotically non-expansive mappings relatively non-expansive strong convergence variational inequality problems
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.

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