Common new fixed point results on b-cone Banach spaces over Banach algebras

• Afshari, Hojjat ^[1] ; Shojaat, Hadi ^[2] ; Fulga, Andreea ^[3]
  1. [1] University of Bonab

     University of Bonab

     Irán

     
  2. [2] Farhangian University
  3. [3] Transilvania University of Brasov

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• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 23, Nº. 1, 2022, págs. 145-156
• Idioma: inglés
• DOI: 10.4995/agt.2022.15571
• Enlaces
  • Texto completo
• Resumen

  • Recently Zhu and Zhai studied the concepts of cone b-norm and cone b-Banach space as generalizations of cone b-metric spaces and theygave a definition of ϕ-operator and obtained some new fixed point theorems in cone b-Banach spaces over Banach algebras by usingϕ-operator. In this paper we propose a notion of quasi-cone over Banach algebras, then by utilizing some new conditions andfollowing their work with introducing two mappings $\mathcal{T}$ and $\mathcal{S}$ we improve the fixed point theorems to the commonfixed point theorems. An example is given to illustrate the usability of the obtained results.

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