Document Type

Article

Publication Date

1995

DOI

10.1006/jmaa.1995.1194

Publication Title

Journal of Mathematical Analysis and Applications

Volume

192

Issue

2

Pages

655-666

Abstract

In a recent paper N. Mizoguchi and W. Takahashi gave a positive answer to the conjecture of 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).

Comments

Elsevier open archive. Copyright © 1995 Academic Press. All rights reserved.

Original Publication Citation

Daffer, P. Z., & Kaneko, H. (1995). Fixed-points of generalized contractive multivalued mappings. Journal of Mathematical Analysis and Applications, 192(2), 655-666. doi:10.1006/jmaa.1995.1194

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