Best Proximity Point Theorems for Two Weak Cyclic Contractions on Metric-Like Spaces

Abstract

In this paper, we establish two best proximity point theorems in the setting of metric-like spaces that are based on cyclic contraction: Meir–Keeler–Kannan type cyclic contractions and a generalized Ćirić type cyclic φ -contraction via the MT -function. We express some examples to indicate the validity of the presented results. Our results unify and generalize a number of best proximity point results on the topic in the corresponding recent literature.

On Two-Point Boundary Value Problems and Fractional Differential Equations via New Quasi-Contractions

“…Shortly after, Shukla [22] initiated the concept of 0 − σcomplete ML space and extended the idea of Amini-Harandi [21]. Following [21,22], several invariant point results in ML spaces have been examined; a few of these can be found in [23][24][25].…”