non-smooth analysis, optimization, modeling of physical and economic processes, difference of convex functions
Main publications:
Proudnikov I., “New constructions for local approximation of Lipschitz functions.”, Nonlinear Analysis, 54:3 (2003), 373-390
Proudnikov I., “New constructions for local approximation of Lipschitz functions. II”, Nonlinear Analysis, 66:7 (2007), 1443-1453
Прудников И., “On the question of the representability of a function of two variables as a difference of convex functions.”, Siberian Mathematical Journal RAS, 55:6 (2014), 1368-1380.
Proudnikov I., “Subdifferentials of the First and Second Orders for Lipschitz Functions”, J. of Optimization Theory and Application, 171:3 (2016), 906-930
Proudnikov I., “On continuous codifferentiability of
quasidifferentiable functions
SN”, s43069-021-00085-w, Oper. Res. Forum 2, 44 (2021)., 44 (2021)
