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

Authors: Phạm Hữu Sách, Nguyễn Bá Minh,

https://doi.org/10.1007/s10898-012-0015-0

Publisher, magazine: ,

Publication year: 2013

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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.

Tags: Nonlinear scalarization function, Ky Fan inequality, Moving cone, Set-valued map, Continuity