Generalized Contraction Mapping Principle in Intuitionistic Menger Spaces and an Application to Differential Equations

Servet Kutukcu; Adnan Tuna; Atakan T. Yakut

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Servet Kutukcu, Adnan Tuna, Atakan T. Yakut. Generalized Contraction Mapping Principle in Intuitionistic Menger Spaces and an Application to Differential Equations[J]. Applied Mathematics and Mechanics, 2007, 28(6): 713-723.

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Generalized Contraction Mapping Principle in Intuitionistic Menger Spaces and an Application to Differential Equations

1.
Department of Mathematics, Faculty of Science and Arts, Ondokuz Mayis University, Kurupelit, 55139 Samsun, Turkey;

Received Date: 2006-07-10
Rev Recd Date: 2007-02-01
Publish Date: 2007-06-15

Abstract

Abstract

Using the idea of Atanassov,the notion of intuitionistic Menger spaces was defined as a natural generalizations 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.

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References(17)

References

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