Global Optimal Solutions for Proximal Fuzzy Contractions Involving Control Functions | Zendy

Abdelhamid Moussaoui | Zendy; Nawab Hussain | Zendy; Saïd Melliani | Zendy

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Global Optimal Solutions for Proximal Fuzzy Contractions Involving Control Functions

Author(s) -

Abdelhamid Moussaoui,

Nawab Hussain,

Saïd Melliani

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6269304

Subject(s) - mathematics , contraction (grammar) , fuzzy logic , discrete mathematics , pure mathematics , algebra over a field , computer science , artificial intelligence , medicine

In this study, we introduce new concepts of α − FZ -contraction and α − ψ − FZ -contraction and we discuss existence results of the best proximity points of such types of non-self-mappings involving control functions in the structure of complete fuzzy metric spaces. Our results extend, generalize, enrich, and improve diverse existing results in the current literature.

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