Common coupled fixed point theorems satisfying rational type contractive conditions in b-metric spaces

Springerplus. 2016 Mar 2:5:257. doi: 10.1186/s40064-016-1849-6. eCollection 2016.

Abstract

In this article, existence and uniqueness of common coupled fixed point for a pair of mappings in the setup of complete b-metric spaces are studied. The derived result generalizes and extends some well known results from the existing literature in b-metric spaces. Appropriate example is also given.

Keywords: Common fixed point; Complete b-metric space; Coupled coincidence point; Coupled fixed point; Rational type contractive conditions.