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A Rogalski-Cornet Type Inclusion Theorem Based on Two Hausdorff Locally Convex Vector Spaces

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  • Yingfan Liu
  • Youguo Wang

Abstract

A Rogalski-Cornet type inclusion theorem based on two Hausdorff locally convex vector spaces is proved and composed of two parts. An example is presented to show that the associated set-valued map in the first part does not need any conventional continuity conditions including upper hemicontinuous. As an application, solvability results regarding an abstract von Neumann inclusion system are obtained.

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  • Yingfan Liu & Youguo Wang, 2012. "A Rogalski-Cornet Type Inclusion Theorem Based on Two Hausdorff Locally Convex Vector Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, June.
    • Handle: RePEc:hin:jnlaaa:596216
    DOI: 10.1155/2012/596216
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