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

Jerolina Fernandez | Zendy; Neeraj Malviya | Zendy; Vahid Parvaneh | Zendy; Hassen Aydi | Zendy; Babak Mohammadi | Zendy

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

Author(s) -

Jerolina Fernandez,

Neeraj Malviya,

Vahid Parvaneh,

Hassen Aydi,

Babak Mohammadi

Publication year - 2021

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2021/6620083

Subject(s) - mathematics , metric space , banach space , banach algebra , expansive , metric (unit) , cone (formal languages) , generalization , discrete mathematics , algebra over a field , pure mathematics , mathematical analysis , algorithm , operations management , compressive strength , materials science , economics , composite material

In the present paper, we define J -cone metric spaces over a Banach algebra which is a generalization of G p b -metric space ( G p b -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.

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