FIXED POINT THEOREMS FOR (α − ψ)-TYPE CONTRACTION MAPPINGS IN PERTURBED METRIC SPACES
By
Sunil Kumar Panwar1, Parveen Kumar2* and Manoj Kumar3
1,3Department of Commerce , Tau Devi Lal Postgraduate Government College for Women, Murthal Sonepat, Haryana India-131027 2Department of Mathematics , Tau Devi Lal Postgraduate Government College for Women, Murthal Sonepat, Haryana India-131027
Email: sunilpanwaria@gmail.com, parveenkarwal21@gmail.com, manojdahiya1981@gmail.com ∗Corresponding Author
(Received: October 31, 2025; In format: November 01, 2025; Revised: November 11, 2025; Accepted: January 05, 2026)
DOI: https://doi.org/10.58250/jnanabha.2026.56106
Abstract
This paper presents fixed point theorems for an α−ψ contractive mapping in complete perturbed metric spaces. As applications of our findings, we obtain fixed point theorems for perturbed metric spaces enriched with graphs. Furthermore, examples are provided to illustrate the usability of the obtained results.
2020 Mathematical Sciences Classification: 46T99, 47H10, 54H25.
Keywords and Phrases: Fixed-Point, Metric Spaces, Perturbed Metric Spaces, α−ψ Contractive Mapping, Endowed with a graph.