New results via proximal admissible and Ꝓȿ-continuous mappings
Abstract
The main aim of this paper is to introduce new types of proximal contraction maps in Ꝓȿ-dislocate metric space and then introduce the definitions of Ꝓȿ-continuous, best proximity, proximal contraction, and admissible mappings. In addition, we prove the existence and uniqueness of a best proximity point in Ꝓȿ-dislocated space.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Optimization and Variational Analysis
Functional Equations Stability Results
Publication details
- Journal / source
- AIP conference proceedings
- Volume
- 3393
- Pages
- 070053–070053
- Publication date
- 1 January 2026
- Language
- EN