Coupled coincidence and coupled common fixed point theorems in partially ordered metric spaces
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Author list: Sintunavarat W., Kumam P.
Publication year: 2012
Journal: Thai Journal of Mathematics (1686-0209)
Volume number: 10
Issue number: 3
Start page: 551
End page: 563
Number of pages: 13
ISSN: 1686-0209
Languages: English-Great Britain (EN-GB)
Abstract
The purpose of this paper is to prove some coupled coincidence point theorems for nonlinear contraction mappings having a mixed monotone property in a partially ordered metric spaces. We also give some examples to validate the main results in this paper. Our theorems are generalizations of the results of Luong and Thuan in [N.V. Luong, N.X. Thuan, Coupled fixed points in partially ordered metric spaces and application, Nonlinear Anal. 74 (2011) 983-992.], classical coupled fixed point theorems of Bhaskar and Lakshmikantham [T.G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (2006) 1379-1393.] and several results in fixed point theory. ฉ 2012 by the Mathematical Association of Thailand. All rights reserved.
Keywords
A coupled point of coincidence
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