Modified F-contractions via α-admissible mappings and application to integral equations | Zendy

Hassen Aydi | Zendy; Erdal Karapınar | Zendy; Habib Yazidi | Zendy

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Modified F-contractions via α-admissible mappings and application to integral equations

Author(s) -

Hassen Aydi,

Erdal Karapınar,

Habib Yazidi

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1705141a

Subject(s) - mathematics , uniqueness , contraction (grammar) , metric space , frame (networking) , integral equation , fixed point theorem , contraction principle , pure mathematics , fixed point , mathematical analysis , discrete mathematics , computer science , medicine , telecommunications

In this paper, we introduce the concept of a modified $F$-contraction via $\alpha$-admissible mappings. We initiate study of fixed point theory for such type mappings in complete metric spaces. Moreover, we provide some examples and we give an application to an integral equation.

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