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Existence of Fixed Points in Fuzzy Strong b-Metric Spaces

Shazia Kanwal, Doha Kattan, Saba Perveen, Sahidul Islam, Mohammed Shehu Shagari and Naeem Jan

Mathematical Problems in Engineering, 2022, vol. 2022, 1-9

Abstract: In the present research, modern fuzzy technique is used to generalize some conventional and latest results. The objective of this paper is to construct and prove some fixed-point results in complete fuzzy strong b-metric space. Fuzzy strong b-metric (sb-metric) spaces have very useful properties such as openness of open balls whereas it is not held in general for b-metric and fuzzy b-metric spaces. Due to its properties, we have worked in these spaces. In this way, we have generalized some well-known fixed-point theorems in fuzzy version. In addition, some interesting examples are constructed to illustrate our results.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2582192

DOI: 10.1155/2022/2582192

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