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

Muhammad Usman Ali; Hassen Aydi; Monairah Alansari

doi:10.1155/2021/6641342

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

Muhammad Usman Ali^*
, Hassen Aydi^*
, Monairah Alansari

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

35 Citations (Scopus)

Abstract

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.

Original language	English
Article number	6641342
Journal	Journal of Function Spaces
Volume	2021
DOIs	https://doi.org/10.1155/2021/6641342
Publication status	Published - 2021
Externally published	Yes

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title = "New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces",

abstract = "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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AB - 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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New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces

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