l-stable functions and its applications

Authors:
D. Bednařík;A. Berková
Affiliations:
Department of Mathematics, University of Hradec Králové, Hradec Králové III, Czech Republic;Department of Mathematics, University of Hradec Králové, Hradec Králové III, Czech Republic
Venue:
MMES'11/DEEE'11/COMATIA'11 Proceedings of the 2nd international conference on Mathematical Models for Engineering Science, and proceedings of the 2nd international conference on Development, Energy, Environment, Economics, and proceedings of the 2nd international conference on Communication and Management in Technological Innovation and Academic Globalization
Year:
2011

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Abstract

The aim of the paper is to present a special class of functions which satisfy l-stable property which is similar to C1,1 property. We also show some applications in scalar and vector nonsmooth optimization. The class of l-stable functions turned out to be a suitable relaxation of C1,1 property in connection with second-order optimality conditions.