Tripled fixed point ofW-compatible mappings in abstract metric spaces

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Aydi H., Abbas M., Sintunavarat W., Kumam P.

Publisher: SpringerOpen

Publication year: 2012

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

Volume number: 2012

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84873050148&doi=10.1186%2f1687-1812-2012-134&partnerID=40&md5=f49b67ce04c8934075dc0598ba326576

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we introduce the concepts of W-compatible mappings for mappings F : X ×X ×X →X and g : X →X, where (X, d) is an abstract metric space. We establish tripled coincidence and common tripled fixed point theorems in such spaces. The presented theorems generalize and extend several well-known comparable results in literature, in particular the results of Abbas, Ali and Radenović (Appl. Math. Comput. 217:195-202, 2010). We also provide an example to illustrate our obtained results. © 2012 Aydi et al.

Keywords

common tripled fixed point, Cone metric space, tripled coincidence point, W-compatible mappings