SOME REMARKS ON WIENER-HOPF EQUATIONS AND VARIATIONAL INEQUALITIES IN BANACH SPACES

Print ISSN: 0972-7752

Abstract

In this paper, we consider a class of implicit variational inequalities in Banach spaces and prove its equivalence with a class of Wiener-Hopf equations. Further, using this equivalence, we suggest and analyze a Mann type iterative algorithm for finding the appropriate solution of the class of Wiener-Hopf equation and discuss its convergence criteria. The theorems in the paper extend and improve many known results in the literature.

Keywords and Phrases

Implicit variational inequality, Wiener-Hopf equation, Mann type iterative algorithm, sunny retract ion, h-strongly accretive mapping.

A.M.S. subject classification

47H04, 49J40.

.....

View PDF Click here to Subscribe now