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直觉Menger空间中的广义压缩映射原理及其在微分方程中的应用 被引量：3

Generalized Contraction Mapping Principle in Intuitionistic Menger Spaces and an Application to Differential Equations
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摘要 利用Atanassov的思路,将直觉Menger空间定义为由Menger提出的Menger空间的自然推广.同时也得出一个新广义压缩映射,并运用该压缩映射证明了直觉Menger空间中微分方程解的存在性定理. Using the idea of Atanassov, the notion of intuitionistic Menger spaces was defined as a natural generalzations of Menger spaces due to Menger. A new generalized contraction mapping and utilize this contraction mapping to prove the existance theorems of solutions to differential equations in intuitionistic Menger spaces were obtained.
作者 S·库图苏 A·图纳 A·T·雅库特 海治（译） 丁协平（校）
机构地区 昂都库兹-马伊斯大学理学与文学学院数学系 盖兹大学理学与文学学院数学系 尼代大学理学与文学学院数学系 不详
出处 《应用数学和力学》 CSCD 北大核心 2007年第6期713-723,共11页 Applied Mathematics and Mechanics
关键词 广义压缩映射 直觉Menger空间 直觉Menger赋范空间 直觉概率有界集 generalized contraction mapping intuitionistic Menger space mtuitionistic Menger normed space intuitionistic probabilistic bounded set
分类号 O177.3 [理学—基础数学]
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参考文献17

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同被引文献41

  • 1Servet Kutukcu,Adnan Tuna,Atakan T. Yakut.Generalized contraction mapping principle in intuitionistic Menger spaces and application to differential equations[J].Applied Mathematics and Mechanics(English Edition),2007,28(6):799-809. 被引量：2
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  • 8Czerwik S. Functional Equations and Inequalities in Several Variables [ M ]. River Edge, N J: World Scientific, 2002.
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  • 10Jung S M. Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis [ M ]. Palm Harbor: Hadronic Press, 2001.

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应用数学和力学
2007年 第6期

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