Some fixed point theorems for multivalued mappings concerning F-contractions

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作者
Luong V. Nguyen
Luu T. Phuong
Nguyen T. Hong
Xiaolong Qin
机构
[1] University of Electronic Science and Technology of China,Institute of Fundamental and Frontier Sciences
[2] Hong Duc University,Department of Natural Sciences
关键词
Fixed point; multivalued mapping; -contraction; rotative mapping; 54H25; 47H10; 54C60;
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摘要
The aim of this paper is to prove some fixed point theorems for multivalued maps satisfying different inequalities based on Wardowski’s technique in complete metric spaces. Our results extend and generalize several known results in the literature. We also give an application to the existence of fixed points for a class of Lipschitz multivalued mappings with a constant being greater than 1. Examples are also given to illustrate our results.
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