Convergence theorem for fixed point problems and system of variational inequalities

Document Type : Research Article

Author

Assistant Professor, Department of Mathematics, Sari Branch, Islamic Azad University

Abstract

In this paper we propose and study an implicit composite iterative scheme for the approximation of a fixed point of a continuous pseudocontractive mapping from a closed convex set into itself. The strong convergence of the sequence defined by the iterative sequence is proved, which is also the common unique solution of a system of variational inequalities.

Keywords