Titlebook: Generalized Convexity, Generalized Monotonicity: Recent Results; Recent Results Jean-Pierre Crouzeix,Juan-Enrique Martinez-Legaz,M Book 199

呼吸

D. Koch,J. Vilsmeier,J. WarschatThe paper. provides some characterizations of (strictly) pseudomonotone and (strictly) monotone functions by properties of the solutions to the associated variational inequality problems. Moreover, an economic interpretation of the results is offered.

Ablation

https://doi.org/10.1007/978-981-15-1979-6In this paper a new second order necessary optimality condition, stated in the so-called image space, is established; such a condition allows to obtain, as particular cases, some recent results which are presented in order to stimulate and improve the study in second order optimality conditions.

喃喃而言

On Limiting Fréchet ε-SubdifferentialsThis paper presents an ε-sub differential calculus for nonconvex and nonsmooth functions. We extend the previous work by Jofré . to the case where the functions are lower semicontinuous instead of locally Lipschitz.

chance

Convexity Space with Respect to a Given SetIn this paper some notions of convexity with respect to a given set in a convexity space are introduced. Some properties of these sets are given. Also induced convexity concepts are defined.

比喻好

Characterizations of Generalized Convexity and Generalized Monotonicity, A SurveyFirst and second order characterizations of generalized convexity, and more recently, first order characterizations of generalized monotonicity have been the object of many papers. We present a state of the art on these questions.

atrophy

產(chǎn)生

On the Scalarization of Pseudoconcavity and Pseudomonotonicity Concepts for Vector Valued FunctionsIn this paper (.) we continue the study of polar generalized convexity of vector valued functions initiated in [6]. Our aim now is to give first order characterization for special classes of vector valued directionally differentiable pseudoconcave functions in terms of suitable pseudomonotonicity property of the directional derivative.

Factorable

Variational Inequalities and Pseudomonotone Functions: Some CharacterizationsThe paper. provides some characterizations of (strictly) pseudomonotone and (strictly) monotone functions by properties of the solutions to the associated variational inequality problems. Moreover, an economic interpretation of the results is offered.

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STENT

https://doi.org/10.1007/978-1-4613-3341-8complementarity; derivatives; duality; equilibrium; inequality; Mathematica; Optimality Conditions; optimiz