Best proximity point theorems for cyclic p-contractions with some consequences and applications

By Mustafa Aslantas, Hakan Sahin, Ishak Altun. Nonlinear Analysis: Modelling and Control, 2021

47 citations recorded by the source corpus.

In this paper, we introduce the concept of cyclic p-contraction pair for single-valued mappings. Then we present some best proximity point results for such mappings defined on proximally complete pair of subsets of a metric space. Also, we provide some illustrative examples that compared our results with some earliest. Finally, by taking into account a fixed point consequence of our main result we give an existence and uniqueness result for a common solution of a system of second order boundary value problems.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/feb4b9ffc0dc9ec0ef940f0e61013aa732ec610c