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

Kutbi, Marwan Amin; Roldán López de Hierro, Antonio Francisco; Sintunavarat, Wutiphol; Martínez-Moreno, Juan; Roldán López Del Hierro, Concepción Beatriz

doi:10.1186/1687-1812-2013-330

Kutbi_Fclosed.pdf (310.5Ko)

Identificadores

URI: http://hdl.handle.net/10481/32374

DOI: 10.1186/1687-1812-2013-330

ISSN: 1687-1812

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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]

Résumé

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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