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Generalized contraction mapping principle in intuitionistic Menger spaces and application to differential equations

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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 existence theorems of solutions to differential equations in intuitionistic Menger spaces.

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Authors and Affiliations

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

    Servet Kutukcu (Doctor)

  2. Department of Mathematics, Faculty of Science and Arts, Gazi University, Teknikokullar, 06500, Ankara, Turkey

    Adnan Tuna

  3. Department of Mathematics, Faculty of Science and Arts, Nigde University, Nigde, Turkey

    Atakan T. Yakut

Authors
  1. Servet Kutukcu
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  2. Adnan Tuna
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  3. Atakan T. Yakut
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Corresponding author

Correspondence to Servet Kutukcu.

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Communicated by DING Xie-ping

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Kutukcu, S., Tuna, A. & Yakut, A.T. Generalized contraction mapping principle in intuitionistic Menger spaces and application to differential equations. Appl Math Mech 28, 799–809 (2007). https://doi.org/10.1007/s10483-007-0610-z

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  • DOI: https://doi.org/10.1007/s10483-007-0610-z

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