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Generalized contraction mapping principle in intuitionistic Menger spaces and application to differential equations |
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| Authors: | Servet Kutukcu Adnan Tuna Atakan T. Yakut |
| Affiliation: | Department of Mathematics, Faculty of Science and Arts, Ondokuz Mayis University, Kurupelit, 55139 Samsun, Turkey;Department of Mathematics, Faculty of Science and Arts, Gazi University, Teknikokullar, 06500 Ankara, Turkey;Department of Mathematics, Faculty of Science and Arts, Nigde University, Nigde, Turkey |
| Abstract: | 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. |
| Keywords: | generalized contraction mapping intuitionistic Menger space intuitionistic Menger normed space intuitionistic probabilistic bounded set |
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