Fixed Point Results in Generalized Bi-2-Metric Spaces Using <i>θ</i>-Type Contractions

Safeer Hussain Khan; Pravin Singh; Shivani Singh; Virath Singh

doi:10.37256/cm.5220243761

Fixed Point Results in Generalized Bi-2-Metric Spaces Using θ-Type Contractions

Authors

Safeer Hussain Khan Department of Mathematics and Statistics, College of Science and Technology, North Carolina A & T State University, Greensboro, NC27411, USA https://orcid.org/0000-0003-2978-1974
Pravin Singh Department of Mathematics, Computer Science and Statistics, University of KwaZulu-Natal, Private Bag X54001, Durban 4001, South Africa https://orcid.org/0000-0003-1941-7386
Shivani Singh Department of Decision Sciences, University of South Africa, P.O. Box 392, Pretoria 0003, South Africa https://orcid.org/0000-0002-6026-1072
Virath Singh Department of Mathematics, Computer Science and Statistics, University of KwaZulu-Natal, Private Bag X54001, Durban 4001, South Africa https://orcid.org/0000-0002-5794-5350

DOI:

https://doi.org/10.37256/cm.5220243761

Keywords:

2-metric, θ-type contraction, orbitally continuous

Abstract

The main purpose of this manuscript is to provide a generalization of the concept of a 2-metric and prove some fixed point results for θ-type contractions. In this paper, we proved that a mapping T that is orbitally continuous, satisfying a θ-type contraction as a result of a relation between a pair of generalized 2-metrics and if one of the spaces is T-orbitally complete, then the mapping T has a fixed point.

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Published

2024-04-03

How to Cite

Khan SH, Singh P, Singh S, Singh V. Fixed Point Results in Generalized Bi-2-Metric Spaces Using <i>θ</i>-Type Contractions. Contemp. Math. [Internet]. 2024 Apr. 3 [cited 2024 Dec. 21];5(2):1456-73. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/3761

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Issue

Contemporary Mathematics, Volume 5 Issue 2 (2024), 1122-2592

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.