Best Proximity Point Results for Cyclic Orbital Contraction Mappings in CAT_p(0) Metric Spaces

2025/12/13 by Parveen Kumar, Ankit Kumar, Kumar, Parveen +3
Mathematics · Computer Science · #Fixed Point Theorems Analysis #Optimization and Variational Analysis #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2512.12361

Abstract

In this paper, we introduce the concept of cyclic orbital contraction mappings which generalizes the concept of cyclic contraction mappings. We establish the existence of best proximity point of these mappings in the framework of CAT_p(0) metric spaces. Also, we study the existence of best proximity point theorems for cyclic orbital contraction mappings in uniformly convex Banach spaces.

Citations

• A Characterization of Weak Proximal Normal Structure and Best Proximity Pairs
• The contraction principle in extended context
• On best proximity points in metric and Banach spaces

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