Theorems on Common Coupled Fixed Point in C*-Algebra Valued Rectangular Parametric Metric Space

Authors

  • Maria Merlin S Research Scholar, PG and Research Department of Mathematics, Holy Cross College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli 620002, Tamil Nadu, India
  • Leema Maria Prakasam A 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.2026.17.2.13

Keywords:

C*-algebra, coupled fixed point, rectangular metric space, parametric metric space, w-compatible

Abstract

In this work, we establish several results concerning common coupled fixed points and coupled coincidence points for mappings that fulfill various contractive conditions within the framework of complete C*-algebra valued rectangular parametric metric space. Furthermore,we demonstrate the applicability of these theorems by proving the existence and uniqueness of solution to a Fredholm nonlinear integral equation.

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Published

25-02-2026

How to Cite

S, M. M., & A, L. M. P. (2026). Theorems on Common Coupled Fixed Point in C*-Algebra Valued Rectangular Parametric Metric Space. The Scientific Temper, 17(02), 5707–5712. https://doi.org/10.58414/SCIENTIFICTEMPER.2026.17.2.13

Issue

Vol. 17 No. 02 (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.

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