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

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• 作者：Z. Sadeghi ; S. M. Vaezpour ; R. Saadati
• 关键词：54E40 ; 54E35 ; 54H25 ; Multivalued mapping ; differential inclusions ; partially ordered set ; probabilistic metric space ; fixed point
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：12
• 期：3
• 页码：1095-1106
• 全文大小：513 KB
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  2.Chang, S.S., Cho, Y.J., Kang, S.M.: Probabilistic Metric Spaces and Nonlinear Operator Theory. Sichuan University Press, Chengdu (1994)
  3.Schweizer, B., Sklar, A.: Probabilistic Metric Spaces. North-Holland, Amsterdam (1983)
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  7.Had啪i膰 O., Pap E.: A fixed point theorem for multivalued mappings in probabilistic metric spaces and an application in fuzzy metric spaces. Fuzzy Sets Syst. 127, 333鈥?44 (2002)View Article MATH
  8.Mihe牛 D.: A class of contractions in fuzzy metric spaces. Fuzzy Sets Syst. 161, 1131鈥?137 (2010)View Article MATH
  9.沤iki膰-Do拧enovi膰, T.: Fixed point theorems for contractive mappings in Menger probabilistic metric spaces. In: Proceeding of IPMU鈥?8, pp. 1497鈥?504, June 22鈥?7 (2008)
  10.Tirado, P., Contraction mappings in fuzzy quasi-metric spaces and [0,1]-fuzzy posets. In: VII Iberoamerican Conference On Toology and its Applications, Valencia, Spain, pp. 25鈥?8 (2008)
  
• 作者单位：Z. Sadeghi (1)
  S. M. Vaezpour (2)
  R. Saadati (3)
  
  1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
  2. Department of Mathematics and Computer Science, Amirkabir University of Technology, Hafez Ave., P. O. Box 15914, Tehran, Iran
  3. Department of Mathematics, Iran University of Science and Technology, Tehran, Iran
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1660-5454

文摘

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