Extensions of almost-F and F-Suzuki contractions with graph and some applications to fractional calculus

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Budhia L.B., Kumam P., Martํnez-Moreno J., Gopal D.

Publisher: SpringerOpen

Publication year: 2016

Journal: Fixed Point Theory and Applications (1687-1820)

Volume number: 2016

Issue number: 1

Start page: 1

End page: 14

Number of pages: 14

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84953256443&doi=10.1186%2fs13663-015-0480-5&partnerID=40&md5=8044ebdf00c6dd6a919cea1175ab7a71

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we introduce the two new concepts of an α-type almost-F-contraction and an α-type F Suzuki contraction and prove some fixed point theorems for such mappings in a complete metric space. Some examples and an application to a nonlinear fractional differential equation are given to illustrate the usability of the new theory. © 2016, Budhia et al.

Keywords

almost-F-contraction, F-Suzuki contraction, nonlinear fractional differential equation