New Fixed Point Theorems on Complete <i>b</i>-Metric Space by Using Rus Contraction Mapping-Reference-Cited by-同舟云学术

New Fixed Point Theorems on Complete b-Metric Space by Using Rus Contraction Mapping

Published:2024-05-29 Issue: Volume: Page:
ISSN:1338-9750
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Bhattacharjee Krishna¹,Laha Amit Kumar²,Das Rakhal¹

Affiliation:

1. Department of Mathematics , The ICFAI University Tripura , Agartala , India

2. Department of Mathematics , Amity University Kolkata , Westbanga India

Abstract

Abstract This paper investigates a fixed point over a complete b-metric space for a family of contractive mappings. In this paper, we have discovered new results in the direction of the complete b-metric space by using Rus contraction. Furthermore, we establish a common fixed point theorem between two mappings over complete b-metric space. We also provide some non-trivial examples to display the authenticity of our established results.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/tmmp-2024-0010

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