Fixed-Point Theorems for Nonlinear Contraction in Fuzzy-Controlled Bipolar Metric Spaces-Reference-Cited by-同舟云学术

Fixed-Point Theorems for Nonlinear Contraction in Fuzzy-Controlled Bipolar Metric Spaces

Published:2023-04-19 Issue:4 Volume:12 Page:396
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Mani Gunaseelan¹^ORCID,Gnanaprakasam Arul Joseph²^ORCID,Kumar Santosh³,Ege Ozgur⁴^ORCID,De la Sen Manuel⁵^ORCID

Affiliation:

1. Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamil Nadu, India

2. Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur, Kanchipuram 603203, Tamil Nadu, India

3. Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Dar es Salaam 35063, Tanzania

4. Department of Mathematics, Ege University, Bornova, Izmir 35100, Turkey

5. Institute of Research and Development of Processes, Department of Electricity and Electronics, University of the Basque Country, 48940 Leioa, Spain

Abstract

In this paper, we introduce the concept of fuzzy-controlled bipolar metric space and prove some fixed-point theorems in this space. Our results generalize and expand some of the literature’s well-known results. We also provide some applications of our main results to integral equations.

Funder

Basque Government

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/4/396/pdf

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