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Fixed Points of Generalized Contractive Multi-valued Mappings

✍ Scribed by P.Z. Daffer; H. Kaneko

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
383 KB
Volume
192
Category
Article
ISSN
0022-247X

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✦ Synopsis

In a recent paper (\mathrm{N}). Mizoguchi and (\mathrm{W}). Takahashi gave a positive answer to the conjecture of (\mathrm{S}). Reich concerning the existence of fixed points of multi-valued mappings that satisfy a certain contractive condition. In this paper, we provide an alternative and somewhat more straightforward proof for the theorem of Mizoguchi and Takahashi. Also the problems associated with fixed points of weakly contractive multi-valued mappings are studied. Finally, we make a few comments that improve other results from their paper (J. Math. Anal. Appl. 141 (1989), 177-188). (1995 Academic Press, Inc.

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