Existence and Uniqueness of Fixed Points of Generalized F-Contraction Mappings | Zendy

Ali Farajzadeh | Zendy; M. Delfani | Zendy; Yuanheng Wang | Zendy

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Existence and Uniqueness of Fixed Points of Generalized F-Contraction Mappings

Author(s) -

Ali Farajzadeh,

M. Delfani,

Yuanheng Wang

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 - 10.1155/2021/6687238

Subject(s) - mathematics , uniqueness , contraction (grammar) , contraction principle , contraction mapping , fixed point , metric space , pure mathematics , fixed point theorem , generalization , mathematical analysis , medicine

The newest generalization of the Banach contraction through the notions of the generalized F-contraction, simulation function, and admissible function is introduced. The existence and uniqueness of fixed points for a self-mapping on complete metric spaces by the new constructed contraction are investigated. The results of this article can be viewed as an improvement of the main results given in the references.

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