Year: 2024
Type: article
Abstract: Objective: The purpose of this research paper is to establish coupled common fixed-point theorems in Gb metric space. Methodology: By using integral type contractive conditions and weakly compatible mappings. Findings: Unique Common coupled fixed-point theorems are proved and two corollaries are stated. Also discussed is an example that supports our main result. Novelty: In this research paper we obtained common coupled fixed points by using integral type contractive conditions for given mappings in Gb metric space. These results extend the results of E. L. Ghasaba, H. Majania, G. Soleimani Radβ. Keywords: Gb metric space; Lebesgue Integral; Compatible mappings; Coupled fixed point; Coupled coincidence point
Authors: K Varalakshmi, G Upender Reddy
Institution: Osmania University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404464465