Afshari, HojjatShojaat, HadiFulga, Andreea2022-05-252022-05-252022-04-011576-9402https://riunet.upv.es/handle/10251/182889[EN] 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 using φ-operator. In this paper we propose a notion of quasi-cone over Banach algebras, then by utilizing some new conditions and following their work with introducing two mappings T and S we improve the fixed point theorems to the commonfixed point theorems. An example is given to illustrate the usability of the obtained results.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Common fixed pointCone b-normCone b-Banach spaceφ-operatorArtículo10.4995/agt.2022.15571Abierto1989-4147