Results 1 to 10 of about 12,294,285 (269)

On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints. [PDF]

open access: yesJ Inequal Appl, 2017
In this paper, we consider a nonsmooth multiobjective semi-infinite programming problem with vanishing constraints (MOSIPVC). We introduce stationary conditions for the MOSIPVCs and establish the strong Karush-Kuhn-Tucker type sufficient optimality ...
Guu SM, Singh Y, Mishra SK.
europepmc   +2 more sources

Optimality Conditions for Constrained Minimax Optimization [PDF]

open access: yesCSIAM Transactions on Applied Mathematics, 2020
Minimax optimization problems arises from both modern machine learning including generative adversarial networks, adversarial training and multi-agent reinforcement learning, as well as from tradition research areas such as saddle point problems ...
Yuhong Dai, Liwei Zhang
semanticscholar   +5 more sources

A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary conditions [PDF]

open access: yesAdvances in Nonlinear Analysis, 2015
A boundary control problem for the pure Cahn–Hilliard equations with possibly singular potentials and dynamic boundary conditions is studied and first-order necessary conditions for optimality are proved.
Colli Pierluigi   +2 more
doaj   +5 more sources

Necessary Optimality Conditions for Optimal Control Problems in Wasserstein Spaces [PDF]

open access: yesApplied Mathematics and Optimization, 2021
In this article, we derive first-order necessary optimality conditions for a constrained optimal control problem formulated in the Wasserstein space of probability measures.
Benoît Bonnet, H. Frankowska
semanticscholar   +1 more source

New optimality conditions in vector continuous-time programming [PDF]

open access: yesYugoslav Journal of Operations Research, 2021
In this work vector continuous-time programming problem with inequality constraints is considered. The necessary and sufficient optimality conditions under generalized concavity assumptions are established.
Jović Aleksandar
doaj   +1 more source

Network optimality conditions

open access: yesControl and Cybernetics, 2023
Optimality conditions for optimal control problems arising in network modeling are discussed. We confine ourselves to the steady state network models. Therefore, we consider only control systems described by ordinary differential equations.
N. Osmolovskii   +2 more
semanticscholar   +1 more source

Optimality Conditions and Exact Penalty for Mathematical Programs with Switching Constraints [PDF]

open access: yesJournal of Optimization Theory and Applications, 2020
In this paper, we give an overview on optimality conditions and exact penalization for the mathematical program with switching constraints (MPSC). MPSC is a new class of optimization problems with important applications.
Yanchao Liang, Jane J. Ye
semanticscholar   +1 more source

Saddle point criteria for semidefinite semi-infinite convex multiobjective optimization problems [PDF]

open access: yesYugoslav Journal of Operations Research, 2022
In this paper, we consider a nonlinear semidefinite semi-infinite convex multiobjective optimization problem where the feasible region is determined by finite number of equality and infinite number of inequality constraints.
Laha Vivek   +2 more
doaj   +1 more source

The Necessary and Sufficient Optimality Conditions for a System of FOCPs with Caputo–Katugampola Derivatives

open access: yesمجلة بغداد للعلوم, 2023
The necessary optimality conditions with Lagrange multipliers  are studied and derived for a new class that includes the system of Caputo–Katugampola fractional derivatives to the optimal control problems with considering the end time free.
Moataz Abbas Holel , Sameer Qasim Hasan
doaj   +1 more source

Optimality Conditions for Set-Valued Optimization Problems

open access: yesInternational Journal of Analysis and Applications, 2023
In this paper, we first prove that the generalized subconvexlikeness introduced by Yang, Yang and Chen [1] and the presubconvelikeness introduced by Zeng [2] are equivalent. We discuss set-valued nonconvex optimization problems and obtain some optimality
Renying Zeng
doaj   +1 more source

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