On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems

Jerolina Fernandez, Neeraj Malviya, Vahid Parvaneh, Hassen Aydi, Babak Mohammadi and Remi Léandre

Advances in Mathematical Physics, 2021, vol. 2021, 1-9

Abstract: In the present paper, we define J-cone metric spaces over a Banach algebra which is a generalization of Gpb-metric space (Gpb-MS) and cone metric space (CMS) over a Banach algebra. We give new fixed-point theorems assuring generalized contractive and expansive maps without continuity. Examples and an application are given at the end to support the usability of our results.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:6620083

DOI: 10.1155/2021/6620083

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