Fixed Point Theorems for Set-Valued Contraction Type Maps in Metric Spaces

被引：0

作者：

A Amini-Harandi

D O'Regan

机构：

[1] University of Shahrekord,Department of Mathematics

[2] National University of Ireland,Department of Mathematics

来源：

Fixed Point Theory and Applications | / 2010卷

关键词：

Real Number; Point Theorem; Differentiable Function; Fixed Point Theorem; Triangle Inequality;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We first give some fixed point results for set-valued self-map contractions in complete metric spaces. Then we derive a fixed point theorem for nonself set-valued contractions which are metrically inward. Our results generalize many well-known results in the literature.

引用

共 7 条

[1]

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[2]

Banach S(1922)Sur les opération dans les ensembles et leur application aux équations intégrales Fundamenta Mathematicae 3 133-181

[3]

Mizoguchi N(1989)Fixed point theorems for multivalued mappings on complete metric spaces Journal of Mathematical Analysis and Applications 141 177-188

[4]

Takahashi W(1972)Fixed points of contractive functions Bollettino dell'Unione Matematica Italiana 5 26-42

[5]

Reich S(2003)Fixed point theorems for weakly contractive multivalued maps Journal of Mathematical Analysis and Applications 284 690-697

[6]

Bae JS(2008)Mizoguchi-Takahashi's fixed point theorem is a real generalization of Nadler's Journal of Mathematical Analysis and Applications 340 752-755

[7]

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