@misc{10481/32374, year = {2013}, url = {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.}, publisher = {Springer}, keywords = {Partially ordered set}, keywords = {Fixed point}, keywords = {Contractive mapping}, keywords = {Mixed monotone property}, keywords = {F-invariant set}, title = {F-closed sets and coupled fixed point theorems without the mixed monotone property}, doi = {10.1186/1687-1812-2013-330}, author = {Kutbi, Marwan Amin and Roldán López de Hierro, Antonio Francisco and Sintunavarat, Wutiphol and Martínez-Moreno, Juan and Roldán López Del Hierro, Concepción Beatriz}, }