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First- and Second-Order Necessary Optimality Conditions for a Control Problem Described by Nonlinear Fractional Difference Equations
AbstractThis paper considers an optimal control problem for an object described by a system of nonlinear fractional difference equations. Such...
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On Necessary Optimality Conditions for Sets of Points in Multiobjective Optimization
Taking inspiration from what is commonly done in single-objective optimization, most local algorithms proposed for multiobjective optimization extend...
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Necessary Optimality Conditions for Hybrid System of Variable Dimension with Intermediate Constraints
We consider an optimal control problem for a hybrid system. The continuous motion of the system alternates with discrete variations (switchings) at...
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Necessary Optimality Conditions for Second-Order Local Strict Efficiency for Constrained Nonsmooth Vector Equilibrium Problems
This paper is concerned with primal and dual second-order optimality conditions for the second-order strict efficiency of nonsmooth vector...
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On the Weak Second-order Optimality Condition for Nonlinear Semidefinite and Second-order Cone Programming
Second-order necessary optimality conditions for nonlinear conic programming problems that depend on a single Lagrange multiplier are usually built...
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Unified Robust Necessary Optimality Conditions for Nonconvex Nonsmooth Uncertain Multiobjective Optimization
This paper is concerned with nonconvex nonsmooth uncertain multiobjective optimization problems, in which the decision variable of both objective and...
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On Tucker-Type Alternative Theorems and Necessary Optimality Conditions for Nonsmooth Multiobjective Optimization
This paper concentrates on necessary conditions for properly efficient solutions in nonsmooth multiobjective optimization problems. We first present...
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First- and second-order optimality conditions for second-order cone and semidefinite programming under a constant rank condition
The well known constant rank constraint qualification [Math. Program. Study 21:110–126, 1984] introduced by Janin for nonlinear programming has been...
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Regularity and Optimality Necessary Conditions for System of G-Stochastic Differential Equations
AbstractIn the current paper, we deal with a system of G-stochastic differential equations (G-SDEs in short) driven by G-Brownian motion. Under some...
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Conditional Cost Function and Necessary Optimality Conditions for Infinite Horizon Optimal Control Problems
AbstractAn infinite horizon optimal control problem with general endpoint constraints is reduced to a family of standard problems on finite time...
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Necessary Optimality Conditions for Interval Optimization Problems with Functional and Abstract Constraints
This work addresses interval optimization problems in which the objective function is interval-valued while the constraints are given in functional...
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Second-order necessary optimality conditions for an optimal control problem with nonlinear state equations
Motivated by our recent works on optimality conditions in optimal control problems under a nonconvex cost function, in this paper, we study...
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Necessary Optimality Conditions for Singular Controls in Stochastic Goursat–Darboux Systems
AbstractWe consider an optimal control problem for a stochastic system whose dynamics is described by a second-order hyperbolic stochastic partial...
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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 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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Second-order strong optimality and duality for nonsmooth multiobjective fractional programming with constraints
This paper investigates nonsmooth multiobjective fractional programming (NMFP) with inequalities and equalities constraints in real reflexive Banach...
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Optimality conditions for nonsmooth fuzzy optimization models under the gH-weak subdifferentiability
This paper is concerned with optimality conditions for a class of nonsmooth fuzzy optimization problems based on gH-weak subdifferentiability. To...
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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...