Zhang, Xian Fixed point theorems of multivalued monotone mappings in ordered metric spaces. (English) Zbl 1203.54052 Appl. Math. Lett. 23, No. 3, 235-240 (2010). Summary: Some new fixed point and coupled fixed point theorems for multivalued monotone mappings in ordered metric spaces are proved. Cited in 16 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 54C60 Set-valued maps in general topology 54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces Keywords:ordered metric space; fixed point; coupled fixed point; multivalued mapping PDF BibTeX XML Cite \textit{X. Zhang}, Appl. Math. Lett. 23, No. 3, 235--240 (2010; Zbl 1203.54052) Full Text: DOI References: [1] Caristi, J., Fixed point theorems for mappings satisfying inwardness conditions, Trans. amer. math. soc., 215, 241-251, (1976) · Zbl 0305.47029 [2] Lakshmikantham, V.; Ciric, Ljubomir, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear anal. TMA, 70, 2, 4341-4349, (2009) · Zbl 1176.54032 [3] O’Regan, Donal; Petrusel, Adrian, Fixed point theorems for generalized contractions in ordered metric spaces, J. math. anal. appl., 341, 2, 1241-1252, (2008) · Zbl 1142.47033 [4] Ciric, Ljubomir; Cakic, Nenad; Rajovic, Miloje; Sheok Ume, Jeong, Monotone generalized nonlinear contractions in partially ordered metric spaces, Fixed point theory appl., 1-11, (2008), 2008 · Zbl 1158.54019 [5] Gnana Bhaskar, T.; Lakshmikantham, V., Fixed point theorems in partially ordered metric spaces and applications, Nonlinear anal. TMA, 65, 7, 1379-1393, (2006) · Zbl 1106.47047 [6] Zhang, Xian, Fixed point theorems of monotone mappings and coupled fixed point of mixed monotone mappings in ordered metric space, Acta. math. sinica, 44, 4, 641-646, (2001), (in Chinese) · Zbl 1011.54038 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.