Phi-fixed point and common phi-fixed point theorems with w-distance

Authors

  • Savita Rathee Department of Mathematics, Maharshi Dayanand University, Rohtak (Haryana) - 124001, India
  • Divya Kaushik Department of Mathematics, Maharshi Dayanand University, Rohtak (Haryana) - 124001, India
  • Reetu Gupta Department of Mathematics, Vaish College, Rohtak (Haryana) - 124001, India

Abstract

The objective of the paper is to provide “Phi -Fixed Point” and “common Phi-Fixed Point” results using $(\varrho, \varphi, w, \alpha-\psi)$ types of contraction mapping with w-distance. The theorems discussed in the following paper prove existence and uniqueness of “Phi-Fixed Point” and “common Phi-Fixed Point” in metric space with w-distance for Phi-admissible mappings.
Examples are also provided to support our findings.

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Published

2026-08-30

Issue

Vol. 33 No. 3 (2026): Nonlinear Studies

Section

Articles

License

Copyright (c) 2026 Savita Rathee, Divya Kaushik, Reetu Gupta

Creative Commons License

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

How to Cite

Phi-fixed point and common phi-fixed point theorems with w-distance. (2026). Nonlinear Studies, 33(3), 1051-1064. https://www.nonlinearstudies.com/index.php/nonlinear/article/view/3974