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

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

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 a...

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Veröffentlicht in:Advances in Mathematical Physics 2021-02, Vol.2021, p.1-9, Article 6620083
Hauptverfasser: Fernandez, Jerolina, Malviya, Neeraj, Parvaneh, Vahid, Aydi, Hassen, Mohammadi, Babak
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Banach spaces
Codes
Fixed points (mathematics)
Inequality
Mapping
Metric space
Physical Sciences
Physics
Physics, Mathematical
Science & Technology
Theorems
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Zusammenfassung: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.
ISSN:1687-9120
1687-9139
DOI:10.1155/2021/6620083