MORE ENCOMPASSING ALGORITHM FOR APPROXIMATE SOLUTIONS OF SOME NONLINEAR OPERATOR EQUATIONS

Approximate Solutions of Nonlinear Operator Equations

Abstract

Whenever a closed form solution for a given problem is not readily available, it is of interest to sort for means of obtaining approximate solution through well defined iterative approach. This work focuses on provision of an iterative method for approximating a common element of set of fixed points of continuous pseudocontractive mappings, set of zeros of inverse strongly monotone mapping, set of solutions of equilibrium problem, and set of common fixed points of countable infinite family of nonexpansive mappings which is a unique solution of a variational inequality problem in the framework of Hilbert space. The iterative method introduced extends, generalizes, improves and unifies some existing results.