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On the subdifferential of a convex operator at a generalized point. (English. Russian original) Zbl 1042.49521

Sib. Math. J. 38, No. 3, 507-512 (1997); translation from Sib. Mat. Zh. 38, No. 3, 591-597 (1997).

MSC:

49J52 Nonsmooth analysis
46G05 Derivatives of functions in infinite-dimensional spaces
46N10 Applications of functional analysis in optimization, convex analysis, mathematical programming, economics
58C20 Differentiation theory (Gateaux, Fréchet, etc.) on manifolds
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References:

[1] E. G. Gol’dshteîn, Duality Theory in Mathematical Programming and Its Applications [in Russian], Nauka, Moscow (1971).
[2] V. L. Levin, Convex Analysis in Spaces of Measurable Functions and Its Application in Mathematics and Economics [in Russian], Nauka, Moscow (1985). · Zbl 0617.46035
[3] S. S. Kutateladze, ”A variant of nonstandard convex programming,” Sibirsk. Mat. Zh.,27, No. 4, 84–92 (1986). · Zbl 0618.90074
[4] A. G. Kusraev and S. S. Kutateladze, Nonstandard Methods of Analysis [in Russian], Nauka, Novosibirsk (1990). · Zbl 0718.03046
[5] A. G. Kusraev and S. S. Kutateladze, Subdifferentials: Theory and Applications [in Russian], Nauka, Novosibirsk (1992). · Zbl 0760.49012
[6] A. G. Kusraev and S. S. Kutateladze, Subdifferentials: Theory and Applications, Kluwer, Dordrecht (1995). · Zbl 0832.49012
[7] S. S. Kutateladze, ”Convex operators,” Uspekhi Mat. Nauk,34, No. 1, 167–196 (1979). · Zbl 0449.47074
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