1. Best Proximity Point Results for Multi-Valued Mappings in Generalized Metric Structure.
- Author
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Khan, Asad Ullah, Samreen, Maria, Hussain, Aftab, and Sulami, Hamed Al
- Subjects
SET-valued maps ,CONTRACTIONS (Topology) ,POINT set theory - 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]
- Published
- 2024
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