<p>This work is devoted to establish some fixed point theorems of Perov type for multi-valued mappings with closed graphs by using the concept of vector valued measure of non-compactness. Moreover, we derive some Krasnoselskii’s type results for the sum of two multi-valued mappings in generalized Banach space. Our results are applied to a large class of nonlinear inclusions systems.</p>

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Fixed Point Results for multi-valued Mappings with Closed Graphs in Generalized Banach Spaces

  • Khaled Ben Amara,
  • Aref Jeribi,
  • Najib Kaddachi

摘要

This work is devoted to establish some fixed point theorems of Perov type for multi-valued mappings with closed graphs by using the concept of vector valued measure of non-compactness. Moreover, we derive some Krasnoselskii’s type results for the sum of two multi-valued mappings in generalized Banach space. Our results are applied to a large class of nonlinear inclusions systems.