Second-Order Sufficient Optimality Conditions in the Calculus of Variations
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-025-02639-y
Abstract: Some classic second-order sufficient optimality conditions in the calculus of variations are shown to be equivalent, while also introducing a new equivalent second-order condition which is extremely easy to apply: simply integrate a linear second-order… read more here.
Keywords: order sufficient; sufficient optimality; conditions calculus; optimality conditions ... See more keywords
New second order sufficient optimality conditions for state constrained parabolic control problems
Sign Up to like & getrecommendations! Published in 2024 at "Optimization"
DOI: 10.1080/02331934.2024.2314242
Abstract: ABSTRACT We study a control problem governed by a semilinear parabolic equation with pointwise control and state constraints imposed at every point of the space-time cylinder. We obtain second order sufficient optimality conditions for local… read more here.
Keywords: order sufficient; optimality; control; sufficient optimality ... See more keywords
Necessary and sufficient optimality conditions for nonsmooth nonconvex generalized Nash equilibrium problems
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DOI: 10.1080/02331934.2024.2401117
Abstract: The generalized Nash equilibrium problem (GNEP) is an extension of the Nash equilibrium problem (NEP), which allows the strategies and the objective function of each player to depend on the decision variables of all other… read more here.
Keywords: sufficient optimality; equilibrium; nash equilibrium; generalized nash ... See more keywords
On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1558-x
Abstract: 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 conditions for the MOSIPVC under… read more here.
Keywords: multiobjective semi; sufficient optimality; infinite programming; type sufficient ... See more keywords