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

来源：

Rendiconti del Circolo Matematico di Palermo | 2013年 / 62卷 / 3期

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

页码：367 / 377

页数：10

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