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Please use this identifier to cite or link to this item: http://hdl.handle.net/10481/32374

Title: F-closed sets and coupled fixed point theorems without the mixed monotone property
Authors: Kutbi, Marwan Amin
Roldán, Antonio
Sintunavarat, Wutiphol
Martínez-Moreno, Juan
Roldán López de Hierro, Concepción
Issue Date: 2013
Abstract: In this paper we present the notion of F-closed set (which is weaker than the concept of F-invariant set introduced in Samet and Vetro (Ann. Funct. Anal. 1:46-56, 2010), and we prove some coupled fixed point theorems without the condition of mixed monotone property. Furthermore, we interpret the transitive property as a partial preorder and, then, some results in that paper and in Sintunavarat et al. (Fixed Point Theory Appl. 2012:170, 2012) can be reduced to the unidimensional case.
Publisher: Springer
Keywords: Partially ordered set
Fixed point
Contractive mapping
Mixed monotone property
F-invariant set
URI: http://hdl.handle.net/10481/32374
ISSN: 1687-1812
Citation: Kutbi, M.A. F-closed sets and coupled fixed point theorems without the mixed monotone property. Fixed Point Theory and Applications, 2013: 330 (2013). [http://hdl.handle.net/10481/32374]
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