A new approach to study fixed point of multivalued mappings in modular metric spaces and applications

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

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

Publisher: MDPI

Publication year: 2016

Journal: Mathematics (2227-7390)

Volume number: 4

Issue number: 3

ISSN: 2227-7390

eISSN: 2227-7390

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85054265853&doi=10.3390%2fmath4030051&partnerID=40&md5=ea893bd912d7a11a4754e4d4708cb9d8

Languages: English-Great Britain (EN-GB)

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Abstract

The purpose of this paper is to present a new approach to study the existence of fixed points for multivalued F-contraction in the setting of modular metric spaces. In establishing this connection, we introduce the notion of multivalued F-contraction and prove corresponding fixed point theorems in complete modular metric space with some specific assumption on the modular. Then we apply our results to establish the existence of solutions for a certain type of non-linear integral equations. ฉ 2016 by the author.

Keywords

Multivalued F-contractive, Non-linear integral equations