The Stability of a Modified Jungck-Mann Hybrid Fixed Point Iteration Procedure

Abstract

In this paper, we prove some stability results for sequences of nonself mappings using a modified Jungck-Mann hybrid iterative procedure in a Banach space by employing a class of generalized contractive-like definition. As corollaries, some stability results of Jungck (pair of maps) and Picard (single map) iterative procedures are also established. Our stability results generalize and extend several related results involving pair and single maps in the literature.