New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces | Zendy

Muhammad Usman Ali | Zendy; Hassen Aydi | Zendy; Monairah Alansari | Zendy

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New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces

Author(s) -

Muhammad Usman Ali,

Hassen Aydi,

Monairah Alansari

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/6641342

Subject(s) - mathematics , metric space , bounded function , contraction (grammar) , hardy space , compact space , type (biology) , closed set , pure mathematics , complete metric space , set (abstract data type) , space (punctuation) , discrete mathematics , mathematical analysis , computer science , medicine , ecology , biology , programming language , operating system

Debnath and De La Sen introduced the notion of set valued interpolative Hardy-Rogers type contraction mappings on b-metric spaces and proved that on a complete b-metric space, whose all closed and bounded subsets are compact, the set valued interpolative Hardy-Rogers type contraction mapping has a fixed point. This article presents generalizations of above results by omitting the assumption that all closed and bounded subsets are compact.

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