FIXED-POINTS OF GENERALIZED CONTRACTIVE MULTIVALUED MAPPINGS

被引：156

作者：

DAFFER, PZ ^{[1
]}

KANEKO, H ^{[1
]}

机构：

[1] OLD DOMINION UNIV,DEPT MATH & STAT,NORFOLK,VA 23529

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1995年 / 192卷 / 02期

关键词：

D O I：

10.1006/jmaa.1995.1194

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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). (C) 1995 Academic Press, Inc.

引用

页码：655 / 666

页数：12

共 9 条

[1] FIXED-POINT THEOREMS FOR SET-VALUED MAPPINGS OF CONTRACTIVE TYPE [J].