Fixed point theorems for multivalued contractive mappings and multivalued Caristi type mappings in cone metric spaces

被引：0
作者：
Seong-Hoon Cho
Jong-Sook Bae
Kwang-Soo Na
机构：
[1] Hanseo University,Department of Mathematics
[2] Moyngji University,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2012卷
关键词：
fixed point; multivalued map; cone metric space;
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摘要：
In this paper, we establish a fixed-point theorem for multivalued contractive mappings in complete cone metric spaces. We generalize Caristi’s fixed-point theorem to the case of multivalued mappings in complete cone metric spaces. We give examples to support our main results. Our results are extensions of the results obtained by Feng and Liu (J. Math. Anal. Appl. 317:103-112, 2006) to the case of cone metric spaces.
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