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