Geraghty-type theorems in modular metric spaces with an application to partial differential equation

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Chaipunya P., Cho Y.J., Kumam P.

Publisher: SpringerOpen

Publication year: 2012

Journal: Advances in Difference Equations (1687-1839)

Volume number: 2012

ISSN: 1687-1839

eISSN: 1687-1847

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84871346799&doi=10.1186%2f1687-1847-2012-83&partnerID=40&md5=6d1638e2423a2320a2b1a82e3ec4af62

Languages: English-Great Britain (EN-GB)

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Abstract

In this article, we prove some fixed point theorems of Geraghty-type concerning the existence and uniqueness of fixed points under the setting of modular metric spaces. Also, we give an application of our main results to establish the existence and uniqueness of a solution to a nonhomogeneous linear parabolic partial differential equation in the last section. ฉ 2012 Chaipunya et al.

Keywords

Geraghty's theorem, Initial Value Problems, Modular metric space, Parabolic equation