Coupled fixed-point theorems for contraction mapping induced by cone ball-metric in partially ordered spaces

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Publication Details

Author list: Sintunavarat W., Cho Y.J., 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-s2.0-84869853520&doi=10.1186%2f1687-1812-2012-128&partnerID=40&md5=d453713275d67381b818cc426ca18974

Languages: English-Great Britain (EN-GB)

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Abstract

Recently, Chen et al. (Appl. Math. Lett. 25:692-697, 2012) introduced the concept of the cone ball-metric and studied the common fixed-point theorems for the stronger Meir-Keeler cone-type function in cone ball-metric spaces. The purpose of this paper is to establish the coupled fixed-point theorems for nonlinear contraction mappings, which have a mixed monotone property by using the cone ball-metric. Also, we give some examples to validate our main results. At the end of this paper, we give an open problem for further investigation. ฉ 2012 Sintunavarat et al.

Keywords

Cone ball-metric space, Cone metric space