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检索条件"主题词=composed convex functions"
9 条 记 录,以下是1-10 订阅
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Variational convergence of composed convex functions
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POSITIVITY 2005年 第1期9卷 115-147页
作者: Laghdir, M Thibault, L Fac Sci Dept Math El Jadida Morocco Univ Montpellier 2 Dept Math F-34095 Montpellier France
In this paper we introduce a concept of variational convergence for mappings taking values in order topological vector spaces. This variational convergence notion is shown to be well adapted to the Gamma(epi)-converge... 详细信息
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Farkas-type results for inequality systems with composed convex functions via conjugate duality
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2006年 第1期322卷 316-328页
作者: Bot, Radu Ioan Hodrea, Ioan Bogdan Wanka, Gert Tech Univ Chemnitz Fac Math D-09107 Chemnitz Germany
We present some Farkas-type results for inequality systems involving finitely many functions. Therefore we use a conjugate duality approach applied to an optimization problem with a composed convex objective function ... 详细信息
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Generalized Moreau-Rockafellar results for composed convex functions
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OPTIMIZATION 2009年 第7期58卷 917-933页
作者: Bot, Radu Ioan Grad, Sorin-Mihai Wanka, Gert Tech Univ Chemnitz Fac Math D-09107 Chemnitz Germany
We give two generalized Moreau-Rockafellar-type results for the sum of a convex function with a composition of convex functions in separated locally convex spaces. Then we equivalently characterize the stable strong d... 详细信息
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Optimality conditions for weak efficiency to vector optimization problems with composed convex functions
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CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 2008年 第3期6卷 453-468页
作者: Bot, Radu Ioan Hodrea, Ioan Bogdan Wanka, Gert Tech Univ Chemnitz Fac Math D-09107 Chemnitz Germany
We consider a convex optimization problem with a vector valued function as objective function and convex cone inequality constraints. We suppose that each entry of the objective function is the composition of some con... 详细信息
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Lower semicontinuous type regularity conditions for subdifferential calculus
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OPTIMIZATION METHODS & SOFTWARE 2010年 第1期25卷 37-48页
作者: Bot, Radu Ioan Grad, Sorin-Mihai Tech Univ Chemnitz Fac Math D-09107 Chemnitz Germany
We give a lower semicontinuous type regularity condition and a closedness type one which turn out to be necessary and sufficient for the fulfilment of two different formulae involving the epsilon-subdifferential of a ... 详细信息
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REGULARITY CONDITIONS FOR FORMULAE OF BICONJUGATE functions
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TAIWANESE JOURNAL OF MATHEMATICS 2008年 第8期12卷 1921-1942页
作者: Bot, Radu Ioan Grad, Sorin-Mihai Tech Univ Chemnitz Fac Math D-09107 Chemnitz Germany
When the dual of a normed space X is endowed with the weak* topology, the biconjugates of the proper convex lower semicontinuous functions defined on X coincide with the functions themselves. This is not the case when... 详细信息
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Conjugate duality for multiobjective composed optimization problems
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ACTA MATHEMATICA HUNGARICA 2007年 第3期116卷 177-196页
作者: Bot, R. I. Vargyas, E. Wanka, G. Tech Univ Chemnitz Fac Math D-09107 Chemnitz Germany
Given a multiobjective optimization problem with the components of the objective function as well as the constraint functions being composed convex functions, we introduce, by using the Fenchel-Moreau conjugate of the... 详细信息
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Duality for Multiobjective Bilevel Programming Problems with Extremal-Value Function
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Journal of Mathematical Research with Applications 2015年 第3期35卷 311-320页
作者: Haijun WANG Ruifang ZHANG Department of Mathematics Taiyuan Normal University
For a multiobjective bilevel programming problem(P) with an extremal-value function,its dual problem is constructed by using the Fenchel-Moreau conjugate of the functions *** some convexity and monotonicity assumption... 详细信息
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ɛ -Optimality conditions for composed convex optimization problems
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Journal of Approximation Theory 2008年 第1期153卷 108-121页
作者: Radu Ioan Boţ Ioan Bogdan Hodrea Gert Wanka Faculty of Mathematics Chemnitz University of Technology D-09107 Chemnitz Germany
The aim of the present paper is to provide a formula for the ɛ -subdifferential of f + g ∘ h different from the ones which can be found in the existent literature. Further we equivalently characterize this formula by... 详细信息
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