Fixed Point Theorems in Controlled Multiplicative Metric-Like Space

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Published

25-12-2025

DOI:

https://doi.org/10.58414/SCIENTIFICTEMPER.2025.16.12.05

Keywords:

Controlled multiplicative metric-like spaces, contraction, G-continuous, Graph Connectivity, Uniqueness

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Issue

Vol. 16 No. 12 (2025): The Scientific Temper

Section

Research article

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Copyright (c) 2025 The Scientific Temper

Creative Commons License

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

Authors

  • L. Augustine Antony Research Scholar, PG and Research Department of Mathematics, Holy Cross College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli-620002, Tamil Nadu, India.
  • J. Jarvisvivin Research Scholar, PG and Research Department of Mathematics, Holy Cross College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli-620002, Tamil Nadu, India.
  • A. Mary Priya Dharsini Assistant Professor, PG and Research Department of Mathematics, Holy Cross College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli-620002, Tamil Nadu, India.

Abstract

In this paper, we have introduced a new concept in metric spaces called Controlled Multiplicative Metric-like Spaces. We have established fixed point theorems in this space by applying contraction. Additionally, we present a non-trivial example that demonstrates the existence of fixed points within this new space. The findings contribute to the ongoing development of fixed point theory in generalized metric-like structures and open avenues for further research in related analytical and applied domains.
Mathematical Subject Classification: Primary 47H10; Secondary 54H25

How to Cite

Antony, L. A., Jarvisvivin, J., & Dharsini, A. M. P. (2025). Fixed Point Theorems in Controlled Multiplicative Metric-Like Space. The Scientific Temper, 16(12), 5183–5186. https://doi.org/10.58414/SCIENTIFICTEMPER.2025.16.12.05

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