A General Fixed Point Theorem for a Sequence of Multivalued Mappings in S-Metric Spaces

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.

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Publication Details

Journal
Axioms
Published
2024-09-27
DOI
https://doi.org/10.3390/axioms13100670
Citations
1
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
1.01
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article

A General Fixed Point Theorem for a Sequence of Multivalued Mappings in S-Metric Spaces

Alina-Mihaela Patriciu, Valeríu Popa
1 citations
Axioms
Fixed Point Theorems Analysis
1.01
article

A General Fixed Point Theorem for a Sequence of Multivalued Mappings in S-Metric Spaces

Alina-Mihaela Patriciu, Valeríu Popa
article en
1 citations

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.

AxiomsVol. 13(10)
"Dunarea de Jos" University of Galati (RO), University of Bacău (RO)
Openalex Percentile: Top 24%
Fixed Point Theorems Analysis
1.01
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