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Second-order weakly composed adjacent-generalized contingent epiderivatives and applications to composite set-valued optimization problems
In the paper, we introduce the second-order weakly composed adjacent-generalized contingent epiderivative for set-valued maps. Then we gain a few...
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A note on “Higher-order generalized Studniarski epiderivative and its applications in set-valued optimization” [Positivity 22:1371–1385 (2018)]
In this note, we establish a property of the higher-order generalized Studniarski epiderivative. By virtue of the property, we demonstrate that...
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Higher-order optimality conditions of robust Benson proper efficient solutions in uncertain vector optimization problems
In this article, we study higher-order optimality conditions of robust Benson proper efficient solutions in uncertain vector optimization problems....
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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 and duality for nonsmooth mathematical programming problems with equilibrium constraints
In this paper, we construct a Wolfe and Mond-Weir types dual problem in terms of contingent epiderivatives for nonsmooth mathematical programming...
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Higher-order generalized tangent epiderivatives and applications to set-valued optimization
In the paper, we introduce two new concepts on differentiability for set-valued maps, named by the higher-order generalized tangent epiderivative and...
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On constrained set-valued optimization problems with \(\rho \)-cone arcwise connectedness
In this paper, we establish the sufficient Karush–Kuhn–Tucker (for short, KKT) conditions of a set-valued optimization problem (P) via contingent...
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Set-valued parametric optimization problems with higher-order \(\rho \)-cone arcwise connectedness
In this study, we take into account the set-valued parametric optimization problem ( PP ) (abbreviated as SVPOP), in which both the objective and...
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Optimality conditions in terms of contingent epiderivatives for strict local Pareto minima in vector optimization problems with constraints
In this paper, primal and dual necessary/sufficient optimality conditions are investigated for vector optimization problem with set, cone and...
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Quasi-contingent derivatives and studies of higher-orders in nonsmooth optimization
We consider higher-order conditions and sensitivity analysis for solutions to equilibrium problems. The conditions for solutions are in terms of...
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Using ρ-cone arcwise connectedness on parametric set-valued optimization problems
Within the inquiry about work, we explore a parametric set-valued optimization problem, where the objective as well as constraint maps are...
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Locally bounded variations epigraph property of the value function to infinite horizon optimal control problems under state constraints
This paper addresses infinite horizon control problems under state constraints and some regularity aspects of the associated value function through...
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Globally proper efficiency of set-valued optimization and vector variational inequality involving the generalized contingent epiderivative
In this paper, firstly, a new property of the cone subpreinvex set-valued map involving the generalized contingent epiderivative is obtained. As an...
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Optimality conditions of the set-valued optimization problem with generalized cone convex set-valued maps characterized by contingent epiderivative
In this paper, firstly, a new notion of generalized cone convex set-valued map is introduced in real normed spaces. Secondly, a property of the...
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Necessary and sufficient optimality conditions for constrained vector equilibrium problems using contingent hypoderivatives
In this paper, we study the Fritz John necessary and sufficient optimality conditions for weak efficient solutions of vector equilibrium problem with...
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New second-order radial epiderivatives and nonconvex set-valued optimization problems
In this paper, we introduce the generalized second-order composed radial epiderivative of set-valued maps and establish a few relations between the...
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S-Derivative of the Extremum Multifunction to a Multi-objective Parametric Discrete Optimal Control Problem
In this paper, we derive formulae for computing the S-derivative of the extremum multifunction in a multi-objective parametric discrete optimal...
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Second-order composed contingent derivatives of perturbation maps in set-valued optimization
In the paper, we study calculus rules of second-order composed contingent derivatives. More precisely, chain rule and sum rule are established and...