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 Partially ordered set Fixed point Contractive mapping Mixed monotone property F-invariant set 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. 2014-06-26T10:08:43Z 2014-06-26T10:08:43Z 2013 info:eu-repo/semantics/article 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] 1687-1812 http://hdl.handle.net/10481/32374 10.1186/1687-1812-2013-330 eng info:eu-repo/semantics/openAccess Springer