张石生.概率度量空间与映象的不动点定理[J].数学研究及应用,1985,5(3):23~28
概率度量空间与映象的不动点定理
Probabilistic Metric Spaces and Fixed Point Theorems for Mappings
投稿时间:1982-02-05  
DOI:10.3770/j.issn:1000-341X.1985.03.007
中文关键词:  
英文关键词:
基金项目:中国科学院科学基金资助的课题.
作者单位
张石生 四川大学数学系 
摘要点击次数: 2225
全文下载次数: 1467
中文摘要:
      
英文摘要:
      Probabilistiic metric spaces were first studied by K. Menger[7] in 1942 and further developed by him and several authors. For detailed discussions of probabitistic metric spaces and their applications we refer to [1]-[9].In the present paper, we continue the study of fixed point theorems of mappings on probabilistic metric spaees. In §2 of this paper we obtain several new fixed point theorems which generalize some well-known results in Sehgal, Bharucha-Reid[3] and Bocsan[8]. In addition, we also utilize theorems of the type considered in §2 to study fixed point theorems of mappings on Wald spaces.
查看全文  查看/发表评论  下载PDF阅读器