Continuity of solution mappings in some parametric non-weak vector Ky Fan inequalities

Pham Sach () and Nguyen Minh ()

Journal of Global Optimization, 2013, vol. 57, issue 4, 1418 pages

Abstract: This paper gives sufficient conditions for the continuity of the solution mappings of parametric non-weak vector Ky Fan inequality problems with moving cones. The main results of the paper are new and are obtained under an assumption different from the known density hypothesis. They are written in terms of nonlinear scalarization functions associated to the data of the problems under consideration. Verifiable conditions are given, and examples are provided. Copyright Springer Science+Business Media New York 2013

Keywords: Nonlinear scalarization function; Ky Fan inequality; Moving cone; Set-valued map; Continuity; 49J53; 90C29; 90C47 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-012-0015-0

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