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

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

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

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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https://doi.org/10.1155/2021/6620083

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:6620083

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