Fixed point and periodic point results for α-type F-contractions in modular metric spaces

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Padcharoen A., Gopal D., Chaipunya P., Kumam P.

Publisher: SpringerOpen

Publication year: 2016

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

Volume number: 2016

Issue number: 1

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84961620124&doi=10.1186%2fs13663-016-0525-4&partnerID=40&md5=c5fc07ee6859c59d51df8bd4f3df1e01

Languages: English-Great Britain (EN-GB)

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Abstract

Motivated by Gopal et al. (Acta Math. Sci. 36B(3):1-14, 2016). We introduce the notion of α-type F-contraction in the setting of modular metric spaces which is independent from one given in (Hussain et al. in Fixed Point Theory Appl. 2015:158, 2015). Further, we establish some fixed point and periodic point results for such contraction. The obtained results encompass various generalizations of the Banach contraction principle and others. © 2016, Padcharoen et al.

Keywords

α-type F-contraction