Results 21 to 30 of about 20,565,365 (293)

The second order optimality conditions for nonlinear mathematical programming with $C^{1,1}$ data [PDF]

, 1997
summary:To find nonlinear minimization problems are considered and standard $C^2$-regularity assumptions on the criterion function and constrained functions are reduced to $C^{1,1}$-regularity.
Michal Křížek, Křížek, Michal, Liping Liu, Neittaanmäki, Pekka, Pekka Neittaanmäki, Liu, Liping   +5 more
core   +1 more source

Optimality Conditions for Group Sparse Constrained Optimization Problems

Mathematics, 2021
In this paper, optimality conditions for the group sparse constrained optimization (GSCO) problems are studied. Firstly, the equivalent characterizations of Bouligand tangent cone, Clarke tangent cone and their corresponding normal cones of the group ...
Wenying Wu, Dingtao Peng
doaj   +1 more source

A Smoothing Method for Sparse Programs by Symmetric Cone Constrained Generalized Equations

Mathematics, 2023
In this paper, we consider a sparse program with symmetric cone constrained parameterized generalized equations (SPSCC). Such a problem is a symmetric cone analogue with vector optimization, and we aim to provide a smoothing framework for dealing with ...
Cong Cheng, Lianjie Tang
doaj   +1 more source

Integral necessary condition of optimality of the second order for control problems described by system of integro-differential equations with delay

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018
We consider the optimal control problem that is described by the system of integro-differential equations of the Volterra type with delay and multipoint performance criterion.
Misir J Mardanov, Kamil B Mansimov, Nisa H Abdullayeva   +2 more
doaj   +1 more source

Second-Order PDE Constrained Controlled Optimization Problems with Application in Mechanics

Mathematics, 2021
The present paper deals with a class of second-order PDE constrained controlled optimization problems with application in Lagrange–Hamilton dynamics.
Savin Treanţă
doaj   +1 more source

Second order optimality conditions for differentiable multiobjective problems [PDF]

RAIRO - Operations Research, 2000
Summary: A secood order optimality condition for multiobjective optimization with a set constraints is developed; this condition is expressed as the impossibility of nonhomogeneous linear systems. When the constraint is given in terms of inequalities and equalities, it can be turned into a John type multipliers rule, using a nonhomogeneous Motzkin ...
CASTELLANI, MARCO, BIGI G.
openaire   +5 more sources

Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency

Abstract and Applied Analysis, 2011
Some new properties are obtained for generalized second-order contingent (adjacent) epiderivatives of set-valued maps. By employing the generalized second-order adjacent epiderivatives, necessary and sufficient conditions of Benson proper efficient ...
Qilin Wang, Guolin Yu
doaj   +1 more source

Recent Advances of Constrained Variational Problems Involving Second-Order Partial Derivatives: A Review

Mathematics, 2022
This paper comprehensively reviews the nonlinear dynamics given by some classes of constrained control problems which involve second-order partial derivatives.
Savin Treanţă
doaj   +1 more source

Necessary optimality conditions of the second oder in a stochastic optimal control problem with delay argument

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
The optimal control problem of nonlinear stochastic systems which mathematical model is given by Ito stochastic differential equation with delay argument is considered.
Rashad oglu Mastaliyev
doaj   +1 more source

FIRST AND SECOND-ORDER OP TIMALITY CONDITIONS USING APPROXIMATIONS FOR VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTS

Tạp chí Khoa học Đại học Đà Lạt, 2012
We consider various kinds of solutions to nonsmooth vector equilibrium problems with functional constraints. By using first and second-order approximations as generalise derivatives we establish both necessary and sufficient optimality conditions.
Phan Quốc Khánh, Lê Thanh Tùng
doaj   +1 more source