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Jiang, Shujun; Li, Zhilong; Luo, Shihua

Fixed point theorems of set-valued mappings in partially ordered Hausdorff topological spaces. (English) Zbl 1469.54123

Abstr. Appl. Anal. 2014, Article ID 232413, 5 p. (2014).
Summary: In this work, several fixed point theorems of set-valued monotone mappings and set-valued Caristi-type mappings are proved in partially ordered Hausdorff topological spaces, which indeed extend and improve many recent results in the setting of metric spaces.

Cited in 1 Document

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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\textit{S. Jiang} et al., Abstr. Appl. Anal. 2014, Article ID 232413, 5 p. (2014; Zbl 1469.54123)
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References:

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