F-closed sets and coupled fixed point theorems without the mixed monotone property

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URI: http://hdl.handle.net/10481/32374
ISSN: 1687-1812
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Author
Kutbi, Marwan Amin; Roldán López de Hierro, Antonio Francisco; Sintunavarat, Wutiphol; Martínez-Moreno, Juan; Roldán López Del Hierro, Concepción Beatriz
Editorial
Springer
Materia
Partially ordered set
 
Fixed point
 
Contractive mapping
 
Mixed monotone property
 
F-invariant set
 
Date
2013
Referencia bibliográfica
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]
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.
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