Asymptotic stationarity and regularity for nonsmooth optimization problems [PDF]
Journal of Nonsmooth Analysis and Optimization, 2020 Based on the tools of limiting variational analysis, we derive a sequential necessary optimality condition for nonsmooth mathematical programs which holds without any additional assumptions. In order to ensure that stationary points in this new sense are
Patrick Mehlitz
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Duality for nonsmooth mathematical programming problems with equilibrium constraints
Journal of Inequalities and Applications, 2016 In this paper, we consider the mathematical programs with equilibrium constraints (MPECs) in Banach space. The objective function and functions in the constraint part are assumed to be lower semicontinuous.
Sy-Ming Guu +2 more
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KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization [PDF]
, 2014 For a long time, the bilevel programming problem has essentially been considered as a special case of mathematical programs with equilibrium constraints (MPECs), in particular when the so-called KKT reformulation is in question.
Zemkoho, Alain B., Dempe, Stephan
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Investigation of the Effect of Dimple Bionic Nonsmooth Surface on Tire Antihydroplaning
Applied Bionics and Biomechanics, 2015 Inspired by the idea that bionic nonsmooth surfaces (BNSS) reduce fluid adhesion and resistance, the effect of dimple bionic nonsmooth structure arranged in tire circumferential grooves surface on antihydroplaning performance was investigated by using ...
Haichao Zhou +4 more
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23rd International Saratov Winter School “Contemporary Problems of Function Theory and Their Applications” [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаThis paper provides an overview of the 23rd International Saratov Winter School “Contemporary Problems of Function Theory and Their Applications” (Saratov, January 27–30, 2026), which was dedicated to the 90th anniversary of Professor A.
Kashin, Boris S. +2 more
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Convergence Analysis of a Petrov–Galerkin Method for Fractional Wave Problems with Nonsmooth Data [PDF]
Journal of Scientific Computing, 2019 This paper analyzes the convergence of a Petrov–Galerkin method for time fractional wave problems with nonsmooth data. Well-posedness and regularity of the weak solution to the time fractional wave problem are firstly established.
Hao Luo, Bin-Jie Li, Xiao-Ping Xie
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Optimizing condition numbers [PDF]
, 2009 In this paper we study the problem of minimizing condition numbers over a compact convex subset of the cone of symmetric positive semidefinite $n\times n$ matrices. We show that the condition number is a Clarke regular strongly pseudoconvex function.
Maréchal, Pierre +3 more
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A class of degenerate elliptic eigenvalue problems
Advances in Nonlinear Analysis, 2013 We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is not necessarily differentiable.
Lucia Marcello, Schuricht Friedemann
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The calculation of discriminating kernel based on viability kernel and reachability
Advances in Difference Equations, 2017 We discuss the calculation of discriminating kernel for the discrete-time dynamic game and continuous-time dynamic game (namely differential game) using the viability kernel and reachable set.
Yanli Han, Yan Gao
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A numerical approach for the bifurcation analysis of nonsmooth delay equations
Communications in nonlinear science & numerical simulation, 2020 Mathematical models based on nonsmooth dynamical systems with delay are widely used to understand complex phenomena, specially in biology, mechanics and control.
J. P. Chávez, Zhi Zhang, Yang Liu
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