Related fixed point results for cyclic contractions on G-metric spaces and application | Zendy

Hassen Aydi | Zendy; Abdelbasset Felhi | Zendy; Slah Sahmim | Zendy

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Related fixed point results for cyclic contractions on G-metric spaces and application

Author(s) -

Hassen Aydi,

Abdelbasset Felhi,

Slah Sahmim

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/fil1703853a

Subject(s) - mathematics , uniqueness , metric space , fixed point theorem , nonlinear system , class (philosophy) , pure mathematics , fixed point , mathematical analysis , metric (unit) , point (geometry) , geometry , operations management , physics , quantum mechanics , artificial intelligence , computer science , economics

In this paper, we establish some fixed point theorems in $G$-metric spaces involving generalized cyclic contractions. Some subsequent results are derived. The presented results generalize many well known results in the literature. Moreover, we provide some concrete examples and an application on the existence and uniqueness of solutions to a class of nonlinear integral equations.

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