Results 41 to 50 of about 140 (77)

On Inverse Function Theorems for Set-Valued Maps [PDF]

, 1984
We prove several equivalent versions of the inverse function theorem: an inverse function theorem for smooth maps on closed subsets, one for set-valued maps, a generalized implicit function theorem for set-valued maps.
Aubin, J.-P., Frankowska, H.
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Direct and Inverse Variational Problems on Time Scales: A Survey

, 2016
We deal with direct and inverse problems of the calculus of variations on arbitrary time scales. Firstly, using the Euler-Lagrange equation and the strengthened Legendre condition, we give a general form for a variational functional to attain a local ...
AB Malinowska, AB Malinowska, AB Malinowska, AB Malinowska, AB Malinowska, AB Malinowska, B Brunt van, CD Ahlbrandt, D Crăciun, DFM Torres, DFM Torres, DJ Saunders, DR Davis, E Girejko, E Girejko, E Merrell, FM Atici, FM Atici, FM Atici, ID Albu, IV Orlov, IV Orlov, J Douglas, L Bourdin, M Bohner, M Bohner, M Bohner, M Dryl, M Dryl, M Dryl, M Dryl, MC Caputo, MJ Bohner, MR Segi Rahmat, N Martins, N Martins, N Martins, N Martins, NRO Bastos, PE Hydon, R Almeida, R Almeida, R Hilscher, RAC Ferreira, S Hilger, S Hilger, T Ernst, T Odzijewicz, V Kac, V Lakshmikantham, Z Bartosiewicz   +50 more
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Fritz-John type optimality conditions for weak efficient solutions of vector equilibrium problems with constraints in terms of contingent epiderivatives

Applied Mathematical Sciences, 2015
In this paper, Fritz-John type optimality conditions for weak efficient solutions in terms of contingent epiderivatives of vector variational inequalities and vector optimization problems with constraints are derived. Under assumptions on quasiconvexity of scalar functions, Fritz-John type necessary optimality conditions become Fritz-John type ...
openaire   +1 more source

Differential Calculus of Set-Valued Maps. An Update [PDF]

, 1987
IIASA has played a crucial role in the development of the "graphical approach" to the differential calculus of set-valued maps, around J.-P. Aubin, H. Frankowska, R.T.
Aubin, J.-P.
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Guaranteed Inertia Functions in Dynamical Games. [PDF]

This paper deals with inertia functions in control theory introduced in Aubin, Bernardo and Saint-Pierre (2004, 2005) and their adaptation to dynamical games.
Aubin, Jean-Pierre, Saint-Pierre, Patrick   +1 more
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Dynamic Management of Portfolios with Transaction Costs under Tychastic Uncertainty. [PDF]

We use in this chapter the viability/capturability approach for studying the problem of dynamic valuation and management of a portfolio with transaction costs in the framework of tychastic control systems (or dynamical games against nature) instead of ...
Aubin, Jean-Pierre, Pujal, Dominique, Saint-Pierre, Patrick   +2 more
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Set-Valued Return Function and Generalized Solutions for Multiobjective Optimal Control Problems (MOC) [PDF]

, 2011
In this paper, we consider a multiobjective optimal control problem where the preference relation in the objective space is defined in terms of a pointed convex cone containing the origin, which defines generalized Pareto optimality. For this problem, we
Guigue, A.
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Küme değerli dönüşümlerin radyal türevleri ve uygulamaları [PDF]

, 2008
Tez (doktora) - Anadolu ÜniversitesiAnadolu Üniversitesi, Fen Bilimleri Enstitüsü, Matematik Anabilim DalıKayıt no: 553026Bu tezde konveks olmayan küme değerli dönüşümler için radyal epitürev kavramının bir genellemesi olan genelleştirilmiş radyal ...
İnceoğlu, Gonca
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Higher-Order Weakly Generalized Epiderivatives and Applications to Optimality Conditions [PDF]

The notions of higher-order weakly generalized contingent epiderivative and higher-order weakly generalized adjacent epiderivative for set-valued maps are proposed. By virtue of the higher-order weakly generalized contingent adjacent epiderivatives, both
Guolin Yu, Qilin Wang
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Graphical Convergence of Set-Valued Maps [PDF]

, 1987
This is an introduction to graphical convergence of set-valued maps and the epigraphical convergence of extended real-valued functions. It is now well established that maps and, more generally, set-valued maps should be regarded not only as maps from
Aubin, J.-P.
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