Literature Cited
R. Rockafellar, Convex Analysis, Princeton University Press (1970).
B. N. Pshenichnyi, The Necessary Conditions for an Extremum [in Russian], Nauka, Moscow (1969).
V. F. Dem'yanov, Minimax: Directional Differentiability [in Russian], Leningr. Univ., Leningrad (1974).
V. L. Makarov and A. M. Rubinov, Mathematical Theory of Economic Dynamics and Equilibrium [in Russian], Nauka, Moscow (1973).
S. S. Kutateladze and A. M. Rubinov, “Minkowski duality and its applications,” Usp. Mat. Nauk.25, No. 3 (165), (1972).
Yu. M. Ermol'ev, “Methods of solution of nonlinear extremum problems,” Kibernetika, No. 4 (1966).
N. Z. Shor, “Generalized gradient descent,” in: Proc. First Winter School on Mathematical Programming [in Russian], Moscow (1969).
Yu.M. Ermol'ev and N. Z. Shor, “Minimization of nondifferentiable functions,” Kibernetika, No. 1 (1967).
E. A. Nurminskii, “A quasigradient method for the solution of the nonlinear programming problem,” Kibernetika, No. 1 (1973).
B. T. Polyak, “A general method for the solution of extremum problems,” Dokl. Akad. Nauk SSSR,174, No. 1 (1967).
C. Lemarechal, “On extension of Davidon methods to nondifferentiable problems,” Math. Progr. Study 3, North-Holland Publ. Co., Amsterdam (1975).
P. A. Wolfe, “A method of conjugate subgradients for minimizing nondifferentiable functions,” Math. Progr. Study 3, North-Holland Publ. Co., Amsterdam (1975).
V. F. Dem'yanov and V. N. Malozemov (editors), Problems of Theory and Elements of Software for Minimax Problems [in Russian], Leningr. Univ., Leningrad (1977).
E. A. Nurminskii and A. A. Zhelikhovskii, “A quasigradient method for the solution of nons mooth extremal problems,” Kibernetika, No. 1 (1977).
D. P. Bertsekas and S. K. Mitter, “A descent numerical method for optimization problems with nondifferentiable cost functionals,” SIAM J. Control,11, No. 4 (1973).
V. F. Dem'yanov and V. N. Malozemov, Introduction to Minimax [in Russian], Nauka, Moscow (1972).
E. A. Nurminskii, “On continuity of ε-subgradient mappings,” Kibernetika, No. 5 (1977).
A. D. Ioffe and V. M. Tikhomirov, “On minimization of integral functionals,” Funkts. Anal.,3, No. 3 (1969).
V. L. Levin, “On subdifferentials of convex functionls,” Usp. Mat. Nauk,25, No. 4 (1970).
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Translated from Kibernetika, No. 1, pp. 23–27, January–February, 1980.
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Dem'yanov, V.F., Shomesova, V.K. Subdifferentials of functions on sets. Cybern Syst Anal 16, 24–31 (1980). https://doi.org/10.1007/BF01099357
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DOI: https://doi.org/10.1007/BF01099357