Fixed Point Theorems for (β, φ)-Expansive Mappings in Controlled Metric Space

Authors

  • M Kumar Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mul lana, Ambala-133203, India
  • Neha B Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mul lana, Ambala-133203, India
  • Gunaseelan M Department of Mathematics, Vel Tech Rengarajan Dr Sagunthala R&D Institute of Sciences, Chennai 600062, Tamilnadu, India
  • Rajagopalan Ramaswamy PRINCE SATTAM BIN ABDULAZIZ UNIVERSITY
  • Khizar Khan Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942 - Saudi Arabia
  • Ola AA Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942 - Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.7124

Keywords:

Controlled metric space, Fixed point, (β, φ)-expansive mappings

Abstract

In the present manuscript, we have introduced a new notion of (β, φ)-expansive mappings in controlled metric space. In addition to this, some fixed point results are also proved with the help of this notion. Some results from the literature are also deduced from our main results. An example is also provided to prove the validity of our result. As an application an integral equation is also solved with the help of our main result.

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Mathematical Analysis

License

Copyright (c) 2025 M Kumar, Neha B, Gunaseelan M, Rajagopalan Ramaswamy, Khizar Khan, Ola AA

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How to Cite

Fixed Point Theorems for (β, φ)-Expansive Mappings in Controlled Metric Space. (2025). European Journal of Pure and Applied Mathematics, 18(4), 7124. https://doi.org/10.29020/nybg.ejpam.v18i4.7124