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Existence of Solutions for a Differential Inclusion by Multivalued Probabilistic Order Contraction

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Abstract

In this paper, we introduce a new concept of multivalued contraction and apply it to prove the existence of solutions for a differential inclusion.

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Authors and Affiliations

  1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

    Z. Sadeghi

  2. Department of Mathematics and Computer Science, Amirkabir University of Technology, Hafez Ave., P. O. Box 15914, Tehran, Iran

    S. M. Vaezpour

  3. Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

    R. Saadati

Authors
  1. Z. Sadeghi
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  2. S. M. Vaezpour
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  3. R. Saadati
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Correspondence to S. M. Vaezpour.

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Sadeghi, Z., Vaezpour, S.M. & Saadati, R. Existence of Solutions for a Differential Inclusion by Multivalued Probabilistic Order Contraction. Mediterr. J. Math. 12, 1095–1106 (2015). https://doi.org/10.1007/s00009-014-0451-9

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  • DOI: https://doi.org/10.1007/s00009-014-0451-9

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