Potential and monotone homeomorphisms in Banach spaces
Advances in Nonlinear AnalysisUsing the Ekeland variational principle and the mountain pass lemma we prove some properties about potential homeomorphisms between a real Banach space and its dual.
Bełdziński Michał, Galewski Marek
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On multiplicity of solutions to nonlinear Dirac equation with local super-quadratic growth
Advances in Nonlinear AnalysisIn this article, we study the following nonlinear Dirac equation: −iα⋅∇u+aβu+V(x)u=g(x,∣u∣)u,x∈R3.-i\alpha \hspace{0.33em}\cdot \hspace{0.33em}\nabla u+a\beta u+V\left(x)u=g\left(x,| u| )u,\hspace{1em}x\in {{\mathbb{R}}}^{3}.
Liao Fangfang, Chen Tiantian
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On the existence of solutions to adversarial training in multiclass classification
European Journal of Applied MathematicsAdversarial training is a min-max optimization problem that is designed to construct robust classifiers against adversarial perturbations of data. We study three models of adversarial training in the multiclass agnostic-classifier setting.
Nicolás García Trillos +2 more
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Equivalent Formulations of Optimal Control Problems with Maximum Cost and Applications. [PDF]
J Optim Theory Appl, 2022 Molina E, Rapaport A, Ramírez H.
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© Hindawi Publishing Corp. A MIN-MAX THEOREM AND ITS APPLICATIONS TO NONCONSERVATIVE SYSTEMS
, 2002 A nonvariational generation of a min-max principle by A. Lazer is made. And it is used to prove a new existence results for a nonconservative systems of ordinary differential equations with resonance. 2000 Mathematics Subject Classification: 34C25, 49J35.
Li Weiguo, Li Hongjie
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A Predictor-Corrector Algorithm For A Class Of Nonlinear Saddle Point Problems
, 1994 . An interior path-following algorithm is proposed for solving the nonlinear saddle point problem minimax c T x + OE(x) + b T y \Gamma /(y) \Gamma y T Ax subject to (x; y) 2 X \Theta Y ae R n \Theta R m ; where OE(x) and /(y) are smooth ...
Gongyun Zhao +3 more
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Simultaneous and semi-alternating projection algorithms for solving split equality problems. [PDF]
J Inequal Appl, 2018 Dong QL, Jiang D.
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Bounded perturbation resilience of extragradient-type methods and their applications. [PDF]
J Inequal Appl, 2017 Dong QL, Gibali A, Jiang D, Tang Y.
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An Energy Minimization Approach to Twinning with Variable Volume Fraction. [PDF]
J ElastConti S, Kohn RV, Misiats O.
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