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浙江大学学报（理学版）
浙江大学学报（理学版）  2020, Vol. 47 Issue (5): 548-553    DOI: 10.3785/j.issn.1008-9497.2020.05.005
数学与计算机科学     
D*-度量空间广义弱压缩映射的不动点定理
张瑜, 薛西锋
西北大学 数学学院，陕西 西安 710127
Fixed point theorems for generalized weakly contractive maps in D*-metric spaces
ZHANG Yu, XUE Xifeng
School of Mathematics, Northwest University, Xi’an 710127, China
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摘要： 介绍了D*-度量空间中的相关知识, 并基于D*-度量空间, 将度量空间中与两种距离控制函数(ψ,?)有关的广义弱压缩映射推广到D*-度量空间, 通过构造迭代序列，讨论了广义弱压缩条件下映射不动点的存在性和唯一性, 给出了几个不动点定理, 所得结果丰富了D*-度量空间的不动点理论。
Abstract: In this paper, we first introduce the notion of D*-metric space and the related knowledge. Based on the D*-metric space, we extend the generalized weakly contractive maps related to two kinds of distance control functions (ψ,?) from metric space to the D*-metric space,and discuss the existence and uniqueness of fixed point under generalized weakly contractive conditions by constructing iterative sequences.We also present several new fixed point theorems. The results enrich the fixed point theory of D*-metric space.
收稿日期: 2019-10-21 出版日期: 2020-09-25
CLC:  O177.91  
基金资助: 陕西省自然科学基金资助项目（202030009）.
通讯作者: ORCID:http://orcid.org/0000-0003-1988-9519，E-mail:xuefr390@163.com.     E-mail: xuefr390@163.com
作者简介: 张瑜(1994—),ORCID:http://orcid.org/0000-0002-3505-5920，女,硕士,主要从事非线性泛函分析研究，E-mail:z614578354@163.com.。
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引用本文:

张瑜, 薛西锋. D*-度量空间广义弱压缩映射的不动点定理[J]. 浙江大学学报（理学版）, 2020, 47(5): 548-553.

ZHANG Yu, XUE Xifeng. Fixed point theorems for generalized weakly contractive maps in D*-metric spaces. Journal of Zhejiang University (Science Edition), 2020, 47(5): 548-553.

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https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2020.05.005    或    https://www.zjujournals.com/sci/CN/Y2020/V47/I5/548

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