Best Proximity Points of -Cyclic Contractions with Property UC

By Hassen Aydi, H. Lakzian, Zoran D. Mitrovic, Stojan Radenovic. 2020

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Abstract We initiate the notion of generalized - cyclic contraction mappings with respect to an auxiliary function and investigate the existence of a best proximity point of such mappings in the setting of metric spaces. We also prove the uniqueness of a fixed point, when we assume an additional condition, named as: property UC. Moreover, we discuss the existence and uniqueness of a fixed point of -cyclic orbital contractions in the context of (b-metric) metric spaces.

Subfields: Geography, Planning and Development, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/85201c4d647d3fa77823a20fee6ed982735247b7