Some Fixed Point Results for Hybrid Contraction in Metric Spaces and Ulam-Hyers Stability

Authors

  • Rajagopalan Ramaswamy Prince Sattam Bin Abdulaziz University
  • Manoj Kumar Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mul lana, Ambala-133203, India
  • Prem Lata Sharma Department of Mathematics, Baba Masthnath University, Asthal Bohar, Rohtak
  • Rayan Abdulrahman Alkhowaiter Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
  • Hossam A Nabway Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942 - Saudi Arabia
  • Ola Ashour A Abdelnaby Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
  • Gunaseelan Mani Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6243

Keywords:

(β, ϕ)−admissible hybrid contraction; fixed point; Ulam - Hyers stability; metric space

Abstract

In the present manuscript, we introduce a new notion of (β, ϕ)− admissible hybrid contractions in metric spaces and establish fixed point results in the setting of these spaces. The derived results extend the reported findings of the past. The derived result is supplemented with a non-trivial example. We have also analyzed the Ulam-Hyers stability and well-poisedness as an
application to the derived results.

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Published

2025-08-03

Issue

Vol. 18 No. 3: (July 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Rajagopalan Ramaswamy, Manoj Kumar, Prem Lata Sharma, Rayan Abdulrahman Alkhowaiter, Hossam A Nabway, Ola Ashour A Abdelnaby, Gunaseelan Mani

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How to Cite

Some Fixed Point Results for Hybrid Contraction in Metric Spaces and Ulam-Hyers Stability. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6243. https://doi.org/10.29020/nybg.ejpam.v18i3.6243