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Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming. (English) Zbl 1121.49017
The authors develop various calculus rules for Fréchet lower and upper subgradients of extended-real-valued functions on real Banach spaces. Optimality conditions for large classes of nonsmooth constrained optimization problems are then derived.

MSC:
49J52 Nonsmooth analysis
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References:
[1] Borwein JM, Techniques of Variational Analysis (2005)
[2] DOI: 10.1137/0331063 · Zbl 0791.90040
[3] Hiriart-Urruty J-B, Lecture Notes in Economics and Mathematical Sciences 256 pp 219– (1985) · Zbl 0575.01017
[4] DOI: 10.1023/A:1023673105317 · Zbl 1039.49021
[5] Mordukhovich BS, Variational Analysis and Generalized Differentiation, I: Basic Theory (2006)
[6] Mordukhovich BS, Variational Analysis and Generalized Differentiation, II: Applications (2006)
[7] Pallaschke D, Pairs of Compact Convex Sets (2002)
[8] DOI: 10.1023/A:1008233531797 · Zbl 0909.90244
[9] Phelps RR, Convex Functions, Monotone Operators and Differentiability,, 2. ed. (1993)
[10] Polyak BT, Introduction to Optimization (1987)
[11] Rockafellar RT, Convex Analysis (1970)
[12] DOI: 10.1007/978-3-642-02431-3 · Zbl 0888.49001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.