New Fixed Point Theorem for Generalized Expansion Mappings Utilizing Banach Algebra in \(\bar{\mathcal{G}}\)-CMSs

Authors

  • Anil Kumar Mishra Department of Mathematics, Government V.Y.T. Autonomous P.G. College, Durg, Chhattisgarh, India
  • Padmavati Department of Mathematics, Government V.Y.T. Autonomous P.G. College, Durg, Chhattisgarh, India

DOI:

https://doi.org/10.26713/cma.v16i1.2923

Keywords:

Generalized expansion mapping, Banach Algebras (BA) \(\hat{\mathcal{B}}\), \(\bar{\mathcal{G}}\)-CMS

Abstract

Beg et al. [3, 4] were the first to propose generalized cone metric spaces as a comprehensive framework. They established the presence of fixed points in cone metrics for mappings and generalized metric spaces that adhere to specific contractive conditions. In our article, we introduce novel findings concerning fixed points within the context of \(\bar{\mathcal{G}}\)-Cone Metric Spaces using Banach Algebras (referred to as \(\bar{\mathcal{G}}\)-CMSBA) by utilizing generalized expansion mappings within the framework of Banach algebras.

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Published

01-07-2025
CITATION

How to Cite

Mishra, A. K., & Padmavati. (2025). New Fixed Point Theorem for Generalized Expansion Mappings Utilizing Banach Algebra in \(\bar{\mathcal{G}}\)-CMSs. Communications in Mathematics and Applications, 16(1), 55–65. https://doi.org/10.26713/cma.v16i1.2923

Issue

Vol. 16 No. 1 (2025)

Section

Research Article

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