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S-度量空间中R-弱交换映象的一个新的公共不动点定理

A New Common Fixed Point Theorem for R-weakly Commuting Mappings in the S-metric Space
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摘要 在S-度量空间中,利用自映象对的R-弱交换条件,在完备的S-度量空间中,建立了一类R-弱交换条件下的两个映象的新的公共不动点定理,得到的结果进一步发展和完善了已有文献的相关结果. In the S-metric space,using the R-weakly commuting condition of the self-image pairs,a new common fixed point theorem for two kinds of mappings under R-weakly commuting conditions is established in the complete S-metric space.The results further develop and improve the relevant results of the existing literature.
作者 孙玉鑫 谷峰 SUN Yuxin;GU Feng(School of Science,Hangzhou Normal University,Hangzhou 311121,China)
机构地区 杭州师范大学理学院
出处 《杭州师范大学学报（自然科学版）》 CAS 2020年第1期71-75,共5页 Journal of Hangzhou Normal University(Natural Science Edition)
基金 国家自然科学基金项目(11071169) 浙江省自然科学基金项目(Y6110287).
关键词 S-度量空间 R-弱交换自映象 压缩映象 公共不动点 S-metric space R-weakly commuting self-mappings contractive mappings common fixed point
分类号 O177.91 [理学—基础数学]
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杭州师范大学学报（自然科学版）
2020年 第1期

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