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

摘要

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.