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

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作者
Shazia Kanwal
Hüseyin Işık
Sana Waheed
机构
[1] Government College University,Department of Mathematics
[2] Bandırma Onyedi Eylül University,Department of Engineering Science
[3] Sefako Makgatho Health Sciences University,Department of Mathematics and Applied Mathematics
关键词
Fuzzy mappings; Strong ; -metric space; Multivalued mappings; Fixed point; 47H09; 47H10;
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摘要
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.
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