HALPERN'S ITERATION FOR APPROXIMATING FIXED POINTS OF A NEW CLASS OF ENRICHED NONSPREDING-TYPE MAPPINGS IN HILBERT SPACES WITH APPLICATIONS TO MINIMAX INEQUALITY PROBLEM

Abstract

In this paper, we propose a modified Halpern's iterative scheme developed from a sequence of a new class of enriched nonspreading mappings and an enriched nonexpansivemapping in the setup of a real Hilbert space. Moreover, we prove strong convergence theoremof the proposed method under mild conditions on the control parameters. Also, we obtainsome basic properties of our new class of enriched nonspreading mappings.