Generalized fixed points for fuzzy and nonfuzzy mappings in strong b-metric spaces

Shazia Kanwal, Hüseyin Işık*, Sana Waheed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The main purpose of this research article is to generalize Kannan-type fixed-point (FP) theorems for single-valued mappings and Chatterjea-type FP result for fuzzy mappings (FMs) in the context of complete strong b-metric spaces (MSs). Moreover, fuzzy FPs are established for Suzuki-type fuzzy contraction in the setting of complete strong b-MSs. The conclusions are supported by nontrivial examples to enhance the validity of the results obtained in this study. In addition, previous findings have been made as corollaries from the relevant literature. The numerous implications that this technique has across the literature improve and integrate our findings. Applications of some of the results obtained are also incorporated.

Original languageEnglish
Article number22
JournalJournal of Inequalities and Applications
Volume2024
Issue number1
DOIs
Publication statusPublished - Dec 2024
Externally publishedYes

Keywords

  • 47H09
  • 47H10
  • Fixed point
  • Fuzzy mappings
  • Multivalued mappings
  • Strong b-metric space

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