On modified α-ϕ-fuzzy contractive mappings and an application to integral equations

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Mishra U., Vetro C., Kumam P.

Publisher: SpringerOpen

Publication year: 2016

Journal: Journal of Inequalities and Applications (1025-5834)

Volume number: 2016

Issue number: 1

Start page: 1

End page: 15

Number of pages: 15

ISSN: 1025-5834

eISSN: 1029-242X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84975678672&doi=10.1186%2fs13660-016-1007-2&partnerID=40&md5=d1366d0374ff548acbf71fe22b9393ba

Languages: English-Great Britain (EN-GB)

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Abstract

We introduce the notion of a modified α-ϕ-fuzzy contractive mapping and prove some results in fuzzy metric spaces for such kind of mappings. The theorems presented provide a generalization of some interesting results in the literature. Two examples and an application to integral equations are given to illustrate the usability of our theory. © 2016, Mishra et al.

Keywords

modified α-ϕ-fuzzy contractive mapping, α-admissible mapping with respect to η