Fixed‐Point Results for Generalized α‐Admissible Hardy‐Rogers’ Contractions in Cone b2‐Metric Spaces over Banach’s Algebras with Application

Ziaul Islam, Muhammad Sarwar and Manuel de la Sen

Advances in Mathematical Physics, 2020, vol. 2020, issue 1

Abstract: In the current manuscript, the notion of a cone b2‐metric space over Banach’s algebra with parameter b≻¯e is introduced. Furthermore, using α‐admissible Hardy‐Rogers’ contractive conditions, we have proven fixed‐point theorems for self‐mappings, which generalize and strengthen many of the conclusions in existing literature. In order to verify our key result, a nontrivial example is given, and as an application, we proved a theorem that shows the existence of a solution of an infinite system of integral equations.

Date: 2020
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https://doi.org/10.1155/2020/8826060

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:8826060

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