Common Fixed Point Results for Rational (<i>α</i>,<i>β</i>)<i>_φ</i>-<i>mω</i> Contractions in Complete Quasi Metric Spaces

Abstract

The ω -distance mapping is one of the important tools that can be used to get new contractions in fixed point theory. The aim of this paper is to use the concept of modified ω -distance mapping to introduce the notion of rational ( α , β ) φ - m ω contraction. We utilize our new notion to construct and formulate many fixed point results for a pair of two mappings defined on a nonempty set A. Our results modify many existing known results. In addition, we support our work by an example.

Keywords

• fixed point
• quasi metric
• contraction mappings