Year: 2024
Type: article
Abstract: Over the years, the concept of metric space has been extended in several directions, and numerous common fixed point theorems for multivalued mappings in complete metric space have been demonstrated. In this paper, we prove a general fixed point theorem for a pair of multivalued mappings satisfying implicit relations, extending some results from the literature to S-metric spaces. As an application, we obtain new results for a sequence of multivalued mappings in S-metric spaces, generalizing some known results.
Source: Axioms
Authors: Valeriu Popa, Alina-Mihaela Patriciu
Institutions: University of Bacău, "Dunarea de Jos" University of Galati
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,728
OpenAlex ID: W4402923715