Banach’s Contraction Principle for Nonlinear Contraction Mappings in Modular Metric Spaces

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Martํnez-Moreno J., Sintunavarat W., Kumam P.

Publisher: Springer

Publication year: 2017

Journal: Bulletin of the Malaysian Mathematical Sciences Society (0126-6705)

Volume number: 40

Issue number: 1

Start page: 335

End page: 344

Number of pages: 10

ISSN: 0126-6705

eISSN: 2180-4206

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85008685649&doi=10.1007%2fs40840-016-0387-2&partnerID=40&md5=f5b6adfdb767f702b7e60981d7aca3ea

Languages: English-Great Britain (EN-GB)

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Abstract

The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. In this paper we investigate some fixed-point theorems in modular metric spaces. ฉ 2016, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.

Keywords

Banach theorem, Edelstein theorem