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Paper   IPM / M / 16502
School of Mathematics
  Title:   Topological structure of the foxed point set of 1-set contraction map and its application to fractional differential inclusions
  Author(s):  Zeinab Soltani
  Status:   To Appear
  Journal: Journal of Nonlinear and Convex Analysis
  Supported by:  IPM
In this paper, topological structure of the fixed point set of 1-set contraction set-valued map with boundary condition are investigated. We show that the fixed point set is a continuum. As an application, we prove that the solution set of two types of fractional differential inclusion is a continuum.

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