Cyclic generalized φ-contractions in b-metric spaces and an application to integral equations | Zendy

Hemant Kumar Nashine | Zendy; Zoran Kadelburg | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Cyclic generalized φ-contractions in b-metric spaces and an application to integral equations

Author(s) -

Hemant Kumar Nashine,

Zoran Kadelburg

Publication year - 2014

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/fil1410047n

Subject(s) - mathematics , uniqueness , metric space , fixed point , fixed point theorem , pure mathematics , metric (unit) , usability , product metric , discrete mathematics , mathematical analysis , computer science , operations management , human–computer interaction , economics

We introduce the notion of cyclic generalized $\varphi$-contractive mappings in $b$-metric spaces and discuss the existence and uniqueness of fixed points for such mappings. Our results generalize many existing fixed point theorems in the literature. Examples are given to support the usability of our results. Finally, an application to existence problem for an integral equation is presented.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research