Coupled fixed point theorems in partially ordered {\epsilon}-chainable metric spaces

TL;DR

This paper introduces a new class of metric spaces called partially ordered {}-chainable spaces and establishes coupled fixed point theorems for certain contractive mappings within these spaces.

Contribution

It presents novel fixed point theorems in partially ordered {}-chainable metric spaces, expanding fixed point theory in this context.

Findings

Established coupled fixed point theorems for uniformly locally contractive mappings

Introduced the concept of partially ordered {}-chainable metric spaces

Extended fixed point results to this new class of spaces

Abstract

In this paper, we introduce the notion of partially ordered {\epsilon}-chainable metric spaces and we derive new coupled fixed point theorems for uniformly locally contractive mappings on such spaces.