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

Yingfan Liu and Youguo Wang

Abstract and Applied Analysis, 2012, vol. 2012, 1-13

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:596216

DOI: 10.1155/2012/596216

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