Common Fixed Point Results for Generalized (φ; ϕ ; L)f; g- Weak Contraction Maps and their Applications to Best Approximation

Reetu; Dinesh Rani Bansal

doi:10.17485/IJST/v16i44.2511

Article

Common Fixed Point Results for Generalized (φ; ϕ ; L)f; g- Weak Contraction Maps and their Applications to Best Approximation

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16i44.2511

Year: 2023, Volume: 16, Issue: 44, Pages: 4073-4080

Original Article

Common Fixed Point Results for Generalized (φ; ϕ ; L)f; g- Weak Contraction Maps and their Applications to Best Approximation

Reetu¹, Dinesh Rani Bansal^2*

¹Assistant Professor, Department of Mathematics, Vaish College, Rohtak, 124001
²Associate Professor, Department of Mathematics, Vaish College, Rohtak, 124001

*Corresponding Author
Email: [email protected]

Received Date:04 October 2023, Accepted Date:23 October 2023, Published Date:28 November 2023

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

Abstract

Objective/Aim: To find the fixed point theorems and best approximation results for the pair of self maps in the setting of metric and normed spaces. Methods: We used the notion of generalized -weak contraction for pair of maps in metric spaces and property (N) in Normed spaces. Findings: Unique common fixed points for four maps satisfying generalized -weak contraction condition and some best approximation results have been established. Novelty/Improvements: Our results extend and improve the existing results of Dahiya et al., Arya et al., He and Zhao etc. Examples have also been added in support of our results.

Keywords: Metric space; Normed space; Common fixed point; Generalized - weak contraction; Best approximation

References

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Copyright

© 2023 Reetu & Bansal. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)