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Fixed point theorems of multivalued monotone mappings in ordered metric spaces. (English) Zbl 1203.54052
Summary: Some new fixed point and coupled fixed point theorems for multivalued monotone mappings in ordered metric spaces are proved.

##### 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
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##### 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
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