Article overview
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 inequalityWiener-Hopf equationMann type iterative algorithmsunny retract ionh-strongly accretive mapping.
AMS Subject Classification
47H04, 49J40.
Reference information
How to Cite
Kaleem Raza Kazmi, Mohd. Iqbal Bhat (2002). SOME REMARKS ON WIENER-HOPF EQUATIONS AND VARIATIONAL INEQUALITIES IN BANACH SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 1(1), 55-62.