On Some Fixed Point Theorem in Ordered $\mathcal{G}$ - Cone Metric Spaces Over Banach Algebra


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Authors

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

Keywords:

Ordered $\mathcal{G}$-cone metric spaces, Banach algebras, generalized Lipschitz conditions

Abstract

In this work, concept of ordered $\mathcal{G}$ - cone metric space over Banach algebras and the generalized contractive map are introduced, and convergence properties of sequences are proved. With this modification, we will prove fixed point results for maps that satisfy contraction conditions without assuming normality. Our results are generalized results of Yan [1] and Altun [7].

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Published

22-12-2022

How to Cite

Anil Kumar Mishra, & Padmavati. (2022). On Some Fixed Point Theorem in Ordered $\mathcal{G}$ - Cone Metric Spaces Over Banach Algebra. International Journal of Mathematics And Its Applications, 10(4), 29–38. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/693

Issue

Vol. 10 No. 4 (2022)

Section

Research Article

License

Copyright (c) 2022 International Journal of Mathematics And its Applications

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