Some fixed point theorems for multivalued mappings concerning F-contractions

Authors: Nguyễn Văn Lương, Lưu Thị Phương, Nguyễn Thị Hồng, Xiaolong Qin,

https://doi.org/10.1007/s11784-018-0621-7

Publisher, magazine: ,

Publication year: 2018

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Abstract

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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