Some common fixed point theorems on tricomplex valued parametric metric space

Authors

  • Subbarayan Poornavel Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, India
  • Natarajan Balamurugan Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, India
  • Hasanen A. Hammad Department of Mathematics, Faculty of Science, Sohag University, Egypt

DOI:

https://doi.org/10.56947/amcs.v20.248

Keywords:

Linear equation, ricomplex valued parametric metric space, common fixed point

Abstract

The goal of this manuscript is to present the concept of tricomplex-valued parametric metric space. In this space, some common fixed-point theorems are introduced. Our results unify and generalize many papers in the same direction. Moreover, some illustrative examples are presented to support the theoretical results. Finally, our results are applied to find the existence of a solution to a linear system of equations.

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Published

2024-01-03

Issue

Vol. 20 (2024)

Section

Articles

License

Copyright (c) 2024 Annals of Mathematics and Computer Science

Creative Commons License

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

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