Approximation Method for Solving Variational Inequality with Multiple Set Split Feasibility Problem in Banach Space

Abstract

In this thesis, an iterative algorithm for approximating the solutions of avariational inequality problem for a strongly accretive, L-Lipschitz map and solutions of a multiple sets split feasibility problem is studied in a uniformly convex and 2-uniformly smooth real Banach space under the assumption that the duality map is weakly sequentially continuous. A strong convergence theorem is proved.