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检索条件"主题词=Convex-concave functions"
8 条 记 录,以下是1-10 订阅
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Well-behaved asymptotical convex-concave functions
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NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 1997年 第9-10期18卷 1013-1021页
作者: Moudafi, A Univ Limoges LACO URA CNRS 1586 F-87060 Limoges France
Recently Auslender & Cronzeix introduced a well-behaved asymptotical notion for convex functions. The aim of this work is to extend this notion to the saddle case.
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SADDLE-POINT DYNAMICS: CONDITIONS FOR ASYMPTOTIC STABILITY OF SADDLE POINTS
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SIAM JOURNAL ON CONTROL AND OPTIMIZATION 2017年 第1期55卷 486-511页
作者: Cherukuri, Ashish Gharesifard, Bahman Cortes, Jorge Univ Calif San Diego Dept Mech & Aerosp Engn La Jolla CA 92093 USA Queens Univ Dept Math & Stat Kingston ON K7L 3N6 Canada
This paper considers continuously differentiable functions of two vector variables that have (possibly a continuum of) min-max saddle points. We study the asymptotic convergence properties of the associated saddle-poi... 详细信息
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Stability and robustness for saddle-point dynamics through monotone mappings
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SYSTEMS & CONTROL LETTERS 2017年 108卷 16-22页
作者: Goebel, Rafal Loyola Univ Chicago Dept Math & Stat 1032 W Sheridan Rd Chicago IL 60660 USA
Motivated by recent interest in saddle-point dynamics, where, given a convex in x and concave in y function, trajectories follow the steepest descent in x and the steepest ascent in y, and where convergence of traject... 详细信息
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convexity in zero-sum differential games
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SIAM JOURNAL ON CONTROL AND OPTIMIZATION 2002年 第5期40卷 1491-1504页
作者: Goebel, R Univ British Columbia Dept Math Vancouver BC V6T 1Z2 Canada Simon Fraser Univ Ctr Expt & Construct Math Burnaby BC V5A 1S6 Canada
A new approach to two-player zero-sum differential games with convex-concave cost function is presented. It employs the tools of convex and variational analysis. A necessary and sufficient condition on controls to be ... 详细信息
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Variational inequalities, system of functional equations, and incomplete information repeated games
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SIAM JOURNAL ON CONTROL AND OPTIMIZATION 2001年 第2期40卷 516-524页
作者: Laraki, R Ecole Polytech Lab Econometrie F-75005 Paris France Univ Paris 10 UFR SEGMI Modal X F-92001 Nanterre 10 France
We consider a pair of functional equations obtained by Mertens and Zamir (Internat. J. Game Theory, 1 (1971-72), pp. 39-64;J. Math. Anal. Appl. 60 (1977), pp. 550-558) to characterize the asymptotic value of a two per... 详细信息
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METHOD FOR MINIMIZING A convex-concave FUNCTION OVER A convex SET
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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 1991年 第2期70卷 377-384页
作者: MUU, LD OETTLI, W INST MATH HANOIVIETNAM
A branch-and-bound method is proposed for minimizing a convex-concave function over a convex set. The minimization of a DC-function is a special case, where the subproblems connected with the bounding operation can be... 详细信息
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On the Anti-Monotonicity of Differential Mappings Connected with General Equilibrium problem
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Optimization 1988年 第5期19卷 693-709页
作者: Uryas’Ev, S.P. W. M. Glushkov Institute of Cybernetics Kiev Ukraine
Let X be a subset of a Hilbert space H and Ψ: X x X →R, Ψ(x, x) = 0 for all x ϵ X. Let G(x) =∂yΨ(x, y) [y=x denote generalized differential with respect to the second argument at tire point (x, x). We shall be con... 详细信息
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On the Convergence of the Proximal Algorithm for Saddle-Point Problems
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Optimization 1995年 第3期33.0卷 191-200页
作者: Moudafi, A. LACO URA 1586 Université de Limoges Limoges Cedex 87060 France
The proximal algorithm for saddle-point problems minx ∈X maxy ∈YL(x, y), where X, Y are Hilbert spaces and L: X × Y → R is a proper, closed convex-concave function in X × Y is considered, Under a minimal ... 详细信息
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