Results 31 to 40 of about 195,148 (324)

Mond-Weir and Wolfe Duality of Set-Valued Fractional Minimax Problems in Terms of Contingent Epi-Derivative of Second-Order

open access: yesMathematics, 2022
This paper is devoted to provide sufficient Karush Kuhn Tucker (in short, KKT) conditions of optimality of second-order for a set-valued fractional minimax problem.
Koushik Das   +2 more
doaj   +1 more source

First and second order optimality conditions for optimal control problems of state constrained integral equations [PDF]

open access: yes, 2012
This paper deals with optimal control problems of integral equations, with initial-final and running state constraints. The order of a running state constraint is defined in the setting of integral dynamics, and we work here with constraints of arbitrary
A.V. Dmitruk   +30 more
core   +6 more sources

Optimality Conditions for Group Sparse Constrained Optimization Problems

open access: yesMathematics, 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

open access: yesMathematics, 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

Second-order optimality conditions for the Bolza problem with path constraints [PDF]

open access: yes, 1973
A set of sufficient conditions for a weak minimum is derived for a form of the nonsingular Bolza problem of variational calculus, with interior point constraints and discontinuities in the system equations.
Wood, L. J.
core   +1 more source

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

open access: yesVestnik 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   +2 more
doaj   +1 more source

An extension of Yuan's Lemma and its applications in optimization [PDF]

open access: yes, 2017
We prove an extension of Yuan's Lemma to more than two matrices, as long as the set of matrices has rank at most 2. This is used to generalize the main result of [A. Baccari and A. Trad.
Brown, André EX   +11 more
core   +2 more sources

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

open access: yesMathematics, 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

Bifurcation Theorems via Second-Order Optimality Conditions

open access: yesJournal of Mathematical Analysis and Applications, 2001
The authors prove new bifurcation existence theorems based on the theory of second-order optimality conditions for abnormal constrained optimization problems [the first author, Optimality conditions. Abnormal and degenerate problems. Dordrecht: Kluwer Academic Publishers (2000; Zbl 0987.49001)]. Remarks: In the list of references the following articles
Arutyunov A.V., Izmailov A.F.
openaire   +3 more sources

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