An Application of Iterative Algorithm for Fixed Point of Some Multi-Valued Mappings

Abstract

In general, finding a solution of some problems in some areas of mathematics may be difficult or sometimes impossible even though they exist. Iterative algorithms are used to succumb this problems. In this paper, an existing algorithm for fixed point of certain multi-valued map has been studied. Problem of variational inequality problem have been shown to be equivalent to some multi valued fixed point problem. Consequently, application of the algorithm studied was given in connection with this problem.