Some Common Fixed-Point Theorems in Extended Bipolar BMetricSpaces and Applications

Authors

  • GANESWARI N MATHEMATICS Research Scholar, PG and Research Department of Mathematics, Holy Cross College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli 620002, Tamil Nadu, India.
  • LEEMA MARIA PRAKASAM Assistant Professor, PG and Research Department of Mathematics, Holy Cross College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli 620002, Tamil Nadu, India.

DOI:

https://doi.org/10.58414/SCIENTIFICTEMPER.2026.17.9.2539

Keywords:

Bipolar metric space, b-Metric space, Extended b-Metric space, Common fixed point, Rational contraction, Contravariant mapping, Homotopy

Abstract

In this paper, we prove some common fixed-point theorems in extended bipolar b-metric
spaces in contravariant mappings and their applications under generalized rational type
contractions. Two corollaries are derived as special cases of the main theorems, and an
illustrative application to homotopy theory is given to demonstrate that a fixed point persists
under continuous deformation between two contravariant mappings.

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Published

28-09-2026

Issue

Vol. 17 No. 09 (2026): THE SCIENTIFIC TEMPER

Section

Research article

License

Copyright (c) 2026 The Scientific Temper

Creative Commons License

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

How to Cite

Some Common Fixed-Point Theorems in Extended Bipolar BMetricSpaces and Applications. (2026). The Scientific Temper, 17(09), 6981-6990. https://doi.org/10.58414/SCIENTIFICTEMPER.2026.17.9.2539

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