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

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  • Ziaul Islam
  • Muhammad Sarwar
  • Manuel de la Sen

Abstract

In the current manuscript, the notion of a cone - metric space over Banach’s algebra with parameter is introduced. Furthermore, using - 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.

Suggested Citation

  • Ziaul Islam & Muhammad Sarwar & Manuel de la Sen, 2020. "Fixed-Point Results for Generalized - Admissible Hardy-Rogers’ Contractions in Cone - Metric Spaces over Banach’s Algebras with Application," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-12, December.
    • Handle: RePEc:hin:jnlamp:8826060
    DOI: 10.1155/2020/8826060
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