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

Published

25-02-2026

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

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Issue

Section

Research article

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

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.

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

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