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Zbl 1094.47049
Feng, Yuqiang; Liu, Sanyang
Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings. (English)
[J] J. Math. Anal. Appl. 317, No. 1, 103-112 (2006). ISSN 0022-247X

In this paper, the famous Banach contraction principle and Caristi's fixed point theorem are generalized to the case of multi-valued mappings. The results are extensions of Nadler's fixed point theorem and some Caristi type theorems for multi-valued operators.
[Zhang Xian (Xiamen)]

MSC 2000:: *47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
47H04 Set-valued operators
54H25 Fixed-point theorems in topological spaces
54C60 Set-valued maps

Keywords: complete metric space; Banach contraction principle; Caristi's fixed point theorem; Nadler's fixed point theorem; multivalued mappings

Citations: Zbl 0187.45002; Zbl 0688.54028; Zbl 0930.91001; Zbl 0738.49009

Cited in: Zbl 1238.54026 Zbl 1223.54059 Zbl 1206.54050 Zbl 1226.54051 Zbl 1207.54062 Zbl 1197.54066 Zbl 1185.54041 Zbl 1179.54053 Zbl 1213.54063

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