Year: 2024
Type: conference-paper
Abstract: There are many generalizations of the Banach contraction principle. In this paper we prove a result that combines three of them: best proximity points of a cyclic map in a complete metric space with the UC property, the contraction condition holding for a subset of all elements, and the mapping being with a contractive iterate at a point. We illustrate this result by proving Eldred and Veermani’s classic theorem as a corollary to ours and illustrate an application of it by an example.
Source: Matteh ...
DOI: 10.46687/gmpx9695
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: European Commission
Awards: G1808227075, G7355391502
OpenAlex ID: W4405094194