Generalized Clarke Epiderivatives of Parametric Vector Optimization Problems

T. D. Chuong () and J. C. Yao ()
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T. D. Chuong: Dong Thap University
J. C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2010, vol. 146, issue 1, No 5, 77-94

Abstract: Abstract This paper deals with the generalized Clarke epiderivative of the extremum (or efficient point) multifunction in parametric vector optimization problems. The formulas for computing and/or estimating the generalized Clarke epiderivative of this extremum multifunction are given in terms of the Clarke tangent cone to the graph of a multifunction or the constraint mapping and/or the Fréchet derivative of the objective function. An application to semi-infinite programming is given.

Keywords: Parametric vector optimization; Extremum multifunction; Generalized Clarke epiderivatives; Clarke tangent cone; Sensitivity analysis (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s10957-010-9646-9

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