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

Authors:
Pham Huu Sach;Nguyen Ba Minh
Affiliations:
Hanoi Institute of Mathematics, Hanoi, Vietnam 10307;Hanoi University of Commerce, Hanoi, Vietnam
Venue:
Journal of Global Optimization
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.