Generalized cyclic contractions and coincidence points involving a control function on partial metric spaces

Abstract

Purpose – In this paper, we use the notion of cyclic representation of a nonempty set with respect to a pair of mappings to obtain coincidence points and common fixed points for a pair of self-mappings satisfying some generalized contraction- type conditions involving a control function in partial metric spaces. Moreover, we provide some examples to analyze and illustrate our main results. Design/methodology/approach – Theoretical method. Findings – We establish some coincidence points and common fixed point results in partial metric spaces. Originality/value – Results of this study are new and interesting.

Keywords

• Partial metric
• Cyclic contraction
• 0-Completeness
• Coincidence point