On best proximity points of multivalued cyclic self-mappings endowed with a partial order

TL;DR

This paper investigates the existence and uniqueness of best proximity points for multivalued cyclic self-mappings with a partial order, focusing on conditions involving nonempty, bounded, and convex intersecting subsets.

Contribution

It introduces new conditions for the existence and uniqueness of best proximity points in multivalued cyclic self-mappings with partial orders.

Findings

Existence of best proximity points under specified conditions

Uniqueness of these points in the given setting

Applicable to nonempty, bounded, convex intersecting subsets

Abstract

The existence and uniqueness of fixed points of both the cyclic self-mapping and its associate composite self-mappings on each of the subsets are investigated if the subsets in the cyclic disposal are nonempty, bounded and of nonempty convex intersection is investigated