Some Fixed Point Theorems in Extended Cone \(b\)-Metric Spaces

Abhishikta Das; T. Bag

doi:10.26713/cma.v13i2.1768

Authors

Abhishikta Das Department of Mathematics, Siksha-Bhavana, Visva-Bharati, Santiniketan 731235, Birbhum, West Bengal, India https://orcid.org/0000-0002-2860-424X (unauthenticated)
T. Bag Department of Mathematics, Siksha-Bhavana, Visva-Bharati, Santiniketan 731235, Birbhum, West Bengal, India https://orcid.org/0000-0002-8834-7097 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v13i2.1768

Keywords:

Cone, Cone metric, Cone metric space, Extended cone \(b\)-metric space, Contraction mapping

Abstract

In this paper, the notion of extended cone \(b\)-metric space is introduced, established the structure of the open ball and defined the notion of convergence of a sequence. Finally, restructured the Banach and Kannan contraction theorems without the normality condition in this new setting.

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References

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