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Existence of solutions for a differential inclusion by multivalued probabilistic order contraction - MaRDI portal

Existence of solutions for a differential inclusion by multivalued probabilistic order contraction (Q493349)

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scientific article; zbMATH DE number 6478197
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Existence of solutions for a differential inclusion by multivalued probabilistic order contraction
scientific article; zbMATH DE number 6478197

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    Existence of solutions for a differential inclusion by multivalued probabilistic order contraction (English)
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    3 September 2015
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    The concept of multivalued probabilistic order \((h, \psi)\)-contraction of \((\varepsilon, \lambda)\)-type in partially ordered probabilistic metric space is introduced and a fixed point theorem for this kind of contractions is proved. The result is applied to prove the existence of solutions for a differential inclusion.
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    multivalued mappings
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    partially ordered set
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    probabilistic metric space
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