Details

Autor(en) / Beteiligte

• Khan, Asad Ullah
• Samreen, Maria
• Hussain, Aftab
• Sulami, Hamed Al

Titel

Best Proximity Point Results for Multi-Valued Mappings in Generalized Metric Structure

Ist Teil von

• Symmetry (Basel), 2024-04, Vol.16 (4), p.502

Ort / Verlag

Basel: MDPI AG

Erscheinungsjahr

2024

Link zum Volltext

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• In this paper, we introduce the novel concept of generalized distance denoted as Jθ and call it an extended b-generalized pseudo-distance. With the help of this generalized distance, we define a generalized point to set distance Jθ(u,H★), a generalized Hausdorff type distance and a PJθ-property of a pair (H★,K★) of nonempty subsets of extended b-metric space (U★,ρθ). 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.