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S-度量空间中■-弱压缩多值映射的不动点定理
Fixed Points of Multi-valued Mappings for■-Weak contractions in S-metric Spaces
【摘要】 基于■-弱压缩的概念,研究了在S-度量空间中■-弱压缩多值映射的不动点问题,建立了此类映射条件下的不动点定理,所得的结果改进和推广了S-度量空间中多值映射下的一些不动点定理,并且补充了一些已有文献的结果.
【Abstract】 Based on the concepts of ■-weak contractions,we consider some problems of fixed points for ■-weak contractive multi-valued mapping in a setting of S-metric spaces.Some fixed point theorems for this mapping are established.Our results improve and generalize some fixed point theorems for multi-valued mapping in S-metric spaces,and complement some previous results.
【关键词】 不动点;
多值映射;
■-弱压缩;
S-度量空间;
【Key words】 Fixed points; Multi-valued mapping; ■-weak contractions; S-metric spaces;
【Key words】 Fixed points; Multi-valued mapping; ■-weak contractions; S-metric spaces;
【基金】 国家自然科学基金资助项目(61374081);广东省自然科学基金资助项目(2015A030313485);广州市科学计划项目(201707010494)
- 【文献出处】 五邑大学学报(自然科学版) ,Journal of Wuyi University(Natural Science Edition) , 编辑部邮箱 ,2022年03期
- 【分类号】O177.91
- 【下载频次】11