Common Fixed Point Theorem in 2-Menger Space via (S-B) Property

Abstract

In this paper, first we prove a common fixed point theorem using weakly compatible mapping in 2- Menger space which generalize the well known results. Secondly, we prove a common fixed point theorem using (S-B) property along with weakly compatible maps. (S-B) property defined by Sharma and Bamoria [16] via implicit relation.

Keywords: Common fixed points, Metric space, S-B property, 2-Menger space, weakly compatible mapping and implicit relation.

AMS subject classification– 47H10, 54H25.

DOI: 10.7176/MTM/9-5-01

Publication date:May 31^st 2019