Asymptotically Coupled Coincidence Points and Asymptotically Coupled Fixed Points in Fuzzy Semi-Metric Spaces

Asymptotically coupled coincidence points and asymptotically coupled fixed points in fuzzy semi-metric spaces are studied in this paper. The fuzzy semi-metric space is taken into account, which lacks symmetric conditions. In this case, the desired results are separately investigated based on four di...

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Bibliographic Details
Published inAxioms Vol. 11; no. 12; p. 688
Main Author Wu, Hsien-Chung
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.12.2022
Subjects
Asymptotic properties
asymptotically coupled coincidence points
asymptotically coupled fixed points
Fuzzy algorithms
Fuzzy logic
fuzzy semi-metric space
Fuzzy systems
Inequality
Mathematical research
Metric space
Metric spaces
Uniqueness
Taiwan
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Summary:Asymptotically coupled coincidence points and asymptotically coupled fixed points in fuzzy semi-metric spaces are studied in this paper. The fuzzy semi-metric space is taken into account, which lacks symmetric conditions. In this case, the desired results are separately investigated based on four different types of triangle inequalities. The uniqueness of asymptotically coupled coincidence points cannot be guaranteed, and it can only be addressed in a weak sense of uniqueness. However, the uniqueness of asymptotically coupled fixed points can be guaranteed using different arguments.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms11120688