Journal Article

·2024 OPEN ACCESS

Best Proximity Point Theorems in Non-Archimedean Menger Probabilistic Spaces

Arife Aysun Karaaslan , Vatan Karakaya YTU

Kragujevac Journal of Mathematics

Abstract

In this work, we prove best proximity point theorems for γ-contractions with conditions the weak P-property in non-Archimedean Menger probabilistic metric spaces. We give the notion of γ- proximal contractions of first and second type in non-Archimedean Menger probabilistic metric spaces and also we establish best proximity point theorems for these proximal contractions. Lastly, we complete our study by giving examples that support our results.

Keywords

Mathematics Probabilistic logic Metric space Property (philosophy) Point (geometry) Metric (unit) Pure mathematics Type (biology) Discrete mathematics Geometry Statistics

Subject Areas

Fixed Point Theorems Analysis ·Geometry and Topology ·Physical Sciences

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