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Generalized contraction mapping principle in intuitionistic Menger spaces and application to differential equations 被引量:2

Generalized contraction mapping principle in intuitionistic Menger spaces and application to differential equations
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摘要 Using the idea of Atanassov, we define the notion of intuitionistic Menger spaces as a netural generalizations of Menger spaces due to Menger. We also obtain a new generalized contraction mapping and utilize this contraction mapping to prove the existance theorems of solutions to differential equations in intuitionistic Menger spaces. Using the idea of Atanassov, we define the notion of intuitionistic Menger spaces as a netural generalizations of Menger spaces due to Menger. We also obtain a new generalized contraction mapping and utilize this contraction mapping to prove the existance theorems of solutions to differential equations in intuitionistic Menger spaces.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第6期799-809,共11页 应用数学和力学(英文版)
关键词 generalized contraction mapping intuitionistic Menger space intuitionistic Menger normed space intuitionistic probabilistic bounded set generalized contraction mapping, intuitionistic Menger space, intuitionistic Menger normed space, intuitionistic probabilistic bounded set
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