Results on Best Proximity Point in Orthogonal Partially Ordered Metric Space

This research paper delves into the application of orthogonal partially ordered metric spaces within fixed-point theory, particularly focusing on introducing the concept of Best Proximity Point (BPP). The study establishes theorems related to BPP, employing orthogonal partially ordered contractive mappings. Moreover, the paper explores the implications of these theorems, considering both self-mappings and non-self mappings that share the same parameter set. It also includes examples to illustrate the practical relevance of the established theorems and corollaries in various mathematical contexts. Through introducing this innovative concept, the study provides a theoretical framework for analyzing mappings in diverse scenarios.