Solving a Fractional Differential Equation via the Bipolar Parametric Metric Space-Reference-Cited by-同舟云学术

Solving a Fractional Differential Equation via the Bipolar Parametric Metric Space

Published:2024-03-27 Issue: Volume:2024 Page:1-10
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Pasha Mohammad Imam¹²^ORCID,Rao Kotha Rama Koteswara²^ORCID,Mani Gunaseelan³^ORCID,Gnanaprakasam Arul Joseph⁴^ORCID,Kumar Santosh⁵⁶^ORCID

Affiliation:

1. Department of Mathematics, BV Raju Institute of Technology, Narsapur, Medak 502313, Telangana, India

2. Department of Mathematics, GITAM School of Science, GITAM Deemed to be University, Hyderabad, Rudraram 502329, Telangana, India

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

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

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

6. Department of Mathematics, North Eastern Hill University, Shillong 793022, Meghalaya, India

Abstract

In this paper, we propose the notion of the bipolar parametric metric space and prove fixed point theorems. The proved results generalize and extend some of the well-known results in the literature. An example and application to support our result is presented.

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/journals/jmath/2024/5533347.pdf

Reference23 articles.

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2. Coupled fixed point theorems on bipolar metric spaces;A. Mutlu;European Journal of Pure and Applied Mathematics,2017

3. Fixed point results for α-£ontractive mappings in bipolar metric spaces;U. Gurdal;Journal of Inequalities, Special Functions,2020

4. Caristi type cyclic contraction and common fixed point theorems in bipolar metric spaces with applications;G. N. V. Kishore;Fixed Point Theory and Applications,2018

5. Some applications via common coupled fixed point theorems in bipolar metric spaces;G. N. V. Kishore;Journal of Critical Reviews,2019

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