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Best Proximity Point Results for Multi-Valued Mappings in Generalized Metric Structure.
- Source :
-
Symmetry (20738994) . Apr2024, Vol. 16 Issue 4, p502. 23p. - Publication Year :
- 2024
-
Abstract
- In this paper, we introduce the novel concept of generalized distance denoted as J θ and call it an extended b-generalized pseudo-distance. With the help of this generalized distance, we define a generalized point to set distance J θ (u , H ★) , a generalized Hausdorff type distance and a P J θ -property of a pair (H ★ , K ★) of nonempty subsets of extended b-metric space (U ★ , ρ θ). Additionally, we establish several best proximity point theorems for multi-valued contraction mappings of Nadler type defined on b-metric spaces and extended b-metric spaces. Our findings generalize numerous existing results found in the literature. To substantiate the introduced notion and validate our main results, we provide some concrete examples. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SET-valued maps
*CONTRACTIONS (Topology)
*POINT set theory
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 16
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Symmetry (20738994)
- Publication Type :
- Academic Journal
- Accession number :
- 176905394
- Full Text :
- https://doi.org/10.3390/sym16040502