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

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PurposeIn 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… Click to show full abstract

PurposeIn 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/approachTheoretical method.FindingsWe establish some coincidence points and common fixed point results in partial metric spaces.Originality/valueResults of this study are new and interesting.

Keywords: partial metric; control function; metric spaces; involving control; coincidence points

Journal Title: Arab Journal of Mathematical Sciences
Year Published: 2021

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