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On Shapiro’s results in quasidifferential calculus. (English) Zbl 0699.90084
Interrelations between necessary minimum conditions for quasidifferentiable programming problems proposed by A. Shapiro [Math. Program. Study 29, 56-68 (1986; Zbl 0604.49012)] and B. Luderer and K. Eppler [Wiss. Z. Tech. Univ. Karl-Marx-Stadt 29, 187-192 (1987; Zbl 0641.90068)] are discussed. Some statements in the former paper are shown to be incorrect.
Reviewer: B.Luderer

MSC:
90C30 Nonlinear programming
49K99 Optimality conditions
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[1] V.F. Dem’yanov, ”Quasidifferentiable functions: Necessary conditions and descent directions,”Mathematical Programming Study 29 (1986) 20–43. · Zbl 0595.49009
[2] V.F. Dem’yanov and L.V. Vasil’ev,Nondifferentiable Optimization (Optimization Software, Publications Division, New York, 1986). [Translated from the Russian.]
[3] K. Eppler and B. Luderer, ”The Lagrange principle and quasidifferential calculus,”Wissenschaftliche Zeitschrift der Technischen Universität Karl-Marx-Stadt 29 (1987) 187–192. · Zbl 0641.90068
[4] B. Luderer, ”Primale Dekomposition quasidifferenzierbarer Optimierungsaufgaben,” Dissertation B, Technische Universität Karl-Marx-Stadt, (Karl-Marx-Stadt, 1987).
[5] A. Shapiro, ”Quasidifferential calculus and first-order optimality conditions in nonsmooth optimization,”Mathematical Programming Study 29 (1986) 56–68. · Zbl 0604.49012
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