Generalized common fixed point theorems in complex valued metric spaces and applications

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Sintunavarat W., Kumam P.

Publisher: SpringerOpen

Publication year: 2012

Journal: Journal of Inequalities and Applications (1025-5834)

Volume number: 2012

ISSN: 1025-5834

eISSN: 1029-242X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84866096829&doi=10.1186%2f1029-242X-2012-84&partnerID=40&md5=6919d15d82724ad1f411bbbc1a5a3f72

Languages: English-Great Britain (EN-GB)

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Abstract

Recently, Azam et al. introduced new spaces called the complex valued metric spaces and established the existence of fixed point theorems under the contraction condition. In this article, we extend and improve the condition of contraction of the results of Azam et al. and also apply the main result to the unique common solution of system of Urysohn integral equation. ฉ 2012 Sintunavarat and Kumam; licensee Springer.

Keywords

Complex valued metric spaces, Fixed points, Weakly compatible mappings