Some Common Fixed Point Theorems for Converse Commuting Mappings Via Implicit Relation

Xiao-Lan Liu, Sunny Chauhan, Shikha Chaudhari

In this paper, we utilize a class of implicit function studied by Imdad et al. [Some common fixed point theorems in Menger PM spaces, Fixed Point Theory Appl. Vol. 2010, Article ID 819269, 14 pages] and prove a common fixed point theorem for converse commuting mappings in Menger space. We give an example which demonstrate the validity of the hypotheses and degree of generality of our main result.