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A simple proof of second-order sufficient optimality conditions in nonlinear semidefinite optimization
In this note, we present an elementary proof for a well-known second-order sufficient optimality condition in nonlinear semidefinite optimization...
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Second-Order Sufficient Optimality Conditions for an Optimal Control Problem with Mixed Constraints
In this paper, we study second-order necessary and sufficient optimality conditions for an optimal control problem with state-control constraints. By...
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On the Second Order Sufficient Optimality Conditions for a Problem of Mathematical Programming
AbstractWe consider the constrained optimization problem for a smooth function defined on a Banach space with smooth constraints of equality and...
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Augmented Lagrangians and hidden convexity in sufficient conditions for local optimality
Second-order sufficient conditions for local optimality have long been central to designing solution algorithms and justifying claims about their...
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Sufficient Optimality Conditions
We introduce the Krotov method for obtaining the sufficient optimality conditions for optimal control problem with mixed constraints. It is...
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Sufficient Epsilon-Optimality Conditions for Systems with Random Quantization Period
We formulate and prove sufficient epsilon-optimality conditions for stochastic optimal control dynamic systems with random quantization period and...
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Sufficient conditions for the optimality of the greedy algorithm in greedoids
Greedy algorithms are among the most elementary ones in theoretical computer science and understanding the conditions under which they yield an...
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Optimality Conditions for Nondifferentiable Minimax Programs and Vector Optimization Problems
First-order sufficient optimality conditions in terms of Lagrangian functions and Lagrange multipliers for nondifferentiable minimax programs and...
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Primal–Dual Stability in Local Optimality
Much is known about when a locally optimal solution depends in a single-valued Lipschitz continuous way on the problem’s parameters, including tilt...
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First- and second-order optimality conditions of nonsmooth sparsity multiobjective optimization via variational analysis
In this paper, we investigate optimality conditions of nonsmooth sparsity multiobjective optimization problem (shortly, SMOP) by the advanced...
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Optimality and Duality for Robust Optimization Problems Involving Intersection of Closed Sets
In this paper, we study a robust optimization problem whose constraints include nonsmooth and nonconvex functions and the intersection of closed...
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Second-order optimality conditions for set-valued optimization problems under the set criterion
This paper investigates second-order optimality conditions for general constrained set-valued optimization problems in normed vector spaces under the...
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Optimality Conditions for Optimal Control of the Monodomain Model with Pointwise Control and State Constraints
This work deals with the theoretical study of the optimality conditions for the optimal control of the monodomain model arising in cardiac...
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Optimality conditions for robust weakly efficient solutions in uncertain optimization
In this paper, we find the flimsily robust weakly efficient solution to the uncertain vector optimization problem by means of the weighted sum...
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Optimality Conditions for Nonlinear Programming
In this chapter we consider finite dimensional Nonlinear Programming problems with a finite number of equality and inequality constraints and we...
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Optimality Conditions in DC-Constrained Mathematical Programming Problems
This paper provides necessary and sufficient optimality conditions for abstract-constrained mathematical programming problems in locally convex...
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Second-order optimality conditions for interval-valued functions
This work is included in the search of optimality conditions for solutions to the scalar interval optimization problem, both constrained and...
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On the strong local optimality for state-constrained control-affine problems
In this article we establish first and second order sufficient optimality conditions for a class of single-input control-affine problems, in presence...
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Optimality conditions and sensitivity analysis in parametric nonconvex minimax programming
In this paper, we perform optimality conditions and sensitivity analysis for parametric nonconvex minimax programming problems. Our aim is to study...
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Second-Order Enhanced Optimality Conditions and Constraint Qualifications
In this paper, we study second-order necessary optimality conditions for smooth nonlinear programming problems. Employing the second-order...