Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2014; 51(3): 621-640

Printed May 31, 2014

https://doi.org/10.4134/BKMS.2014.51.3.621

Copyright © The Korean Mathematical Society.

Solutions of systems of variational inequalities on fixed points of nonexpansive mappings

Hossein Piri

University of Bonab

Abstract

In this paper, we introduce a new approximating method for finding the common element of the set of fixed points of nonexpansive mappings and the set of solution of system variational inequalities for finite family of inverse strongly monotone mappings and strictly pseudo-contractive of Browder-Petryshyn type mappings. We show that the sequence converges strongly to a common element the above two sets under some parameter controling conditions. Our results improve and extend the results announced by many others.

Keywords: fixed point, $\delta$-strongly monotone, $\lambda$-strictly pseudo-contractive, strong convergence, nonexpansive mapping

MSC numbers: 20D15, 20D45