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Zbl 1033.47038
Bae, Jong Sook
Fixed point theorems for weakly contractive multivalued maps.
(English)
[J] J. Math. Anal. Appl. 284, No. 2, 690-697 (2003). ISSN 0022-247X

The concept of a weakly contractive multivalued map is introduced. Then, various fixed point theorems are established for such objects with (strong or weak) inwardness properties.
[Mihai Turinici (Iaşi)]
MSC 2000:
*47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
54H25 Fixed-point theorems in topological spaces

Keywords: Caristi theorem; fixed point; weakly contractive multivalued map; strong inwardness condition; weak inwardness condition

Cited in: Zbl pre06150142 Zbl 1059.54031

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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