Fixed point theorems for set-valued contractions

被引:3
|
作者
Amini-Harandi A. [1 ,2 ]
Fakhar M. [2 ,3 ]
Hajisharifi H.R. [3 ]
机构
[1] Department of Pure Mathematics, University of Shahrekord, Shahrekord
[2] School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5746, Tehran
[3] Department of Mathematics, University of Isfahan, Isfahan
关键词
Cone metric space; Fixed point; Ordered Banach space; Scalarization method;
D O I
10.1007/s12215-013-0130-x
中图分类号
学科分类号
摘要
In this paper, we obtain some fixed point theorems for new set-valued contractions in complete metric spaces. Then by using these results and the scalarization method, we present some fixed point theorems for set-valued contractions in complete cone metric spaces without the normality assumption. We also present some examples to support our results. © 2013 Springer-Verlag Italia.
引用
收藏
页码:367 / 377
页数:10
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