Demyanov Difference of Two Sets and Optimality Conditions of Lagrange Multiplier Type for Constrained Quasidifferentiable Optimization

Y. Gao
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Y. Gao: China University of Mining and Technology

Journal of Optimization Theory and Applications, 2000, vol. 104, issue 2, No 6, 377-394

Abstract: Abstract In the first part of this paper, the Demyanov difference of two sets is considered. An expression for the Demyanov difference of two sets, which are the convex hulls of a finite number of points, is presented. In the second part, first-order necessary optimality conditions of the Lagrange multiplier type, for quasidifferentiable optimization with equality and inequality constraints, are given by means of the Demyanov difference of subdifferential and negative superdifferential.

Keywords: Demyanov difference; quasidifferential calculus; optimality conditions; Lagrange multipliers; Clarke generalized gradient; nonsmooth optimization (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (6)

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DOI: 10.1023/A:1004613814084

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