Existence of    α   L   -Fuzzy Fixed Points of L-Fuzzy Mappings | Zendy

Shazia Kanwal | Zendy; Umair Hanif | Zendy; Maha Noorwali | Zendy; Md. Ashraful Alam | Zendy

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Existence of

α_{L}

-Fuzzy Fixed Points of L-Fuzzy Mappings

Author(s) -

Shazia Kanwal,

Umair Hanif,

Maha Noorwali,

Md. Ashraful Alam

Publication year - 2022

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2022/6878428

Subject(s) - mathematics , uniqueness , fuzzy logic , fixed point , type (biology) , discrete mathematics , metric space , fixed point theorem , extension (predicate logic) , fuzzy mathematics , fuzzy set , algebra over a field , fuzzy number , pure mathematics , mathematical analysis , computer science , artificial intelligence , ecology , biology , programming language

In this research article, fixed point theory is beautifully combined with fuzzy set theory. Two fuzzy fixed point theorems of L-fuzzy mappings are established and proved for two different contractive type conditions in the scenario of complete b-metric space. In order to give the strength of these results, nontrivial supportive examples for both results are also provided. The notion of L-fuzzy mappings is a generalized form of fuzzy mappings as well as multivalued mappings. In this approach, our results provide uniqueness, extension, and successive generalizations of many valuable recent and conventional results existing in the literature.

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