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Cones and Duality

Bacak, J. Borwein, and A.

Topologies on Superspaces of TVS-Cone Metric Spaces

Eberhard Infimal convolutions and Lipschitzian properties of subdifferentials for prox-regular functions in Hilbert spaces, Research Report 8 , 23 pp. Parra , Variational analysis in semi-infinite and infinite programming, II:, Research Report 7 , 25 pp. Dinh and T. Nghia Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs, Research Report 5 , 34 pp.


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Programming , Bao Relative Pareto minimizers for multiobjective problems: existence and optimality conditions, Research Report 11 , 33 pp. Programming, , Website by Woland Technology. Cervinka, ed. Kim, T. Pham and N. Tuyen Existence of efficient and properly efficient solutions to problems of constrained vector optimization, submitted ; arXiv Hoang , Extended Euler-Lagrange and Hamiltonian formalisms in optimal control of sweeping processes with controlled sweeping sets, J. Cao Applications of optimal control of a nonconvex sweeping process to optimization of the planar crowd motion model, Disc.

B 24 , Soubeyran Variational analysis and variational rationality in behavioral sciences: stationary traps, Chapter 1 of the book "Variational Analysis and Set Optimization: Developments and Applications in Decision Making A.

Charalambos Aliprantis

Khan, E. Koebis and C. Tammer, eds. Robinson, Part I, Pure Appl. Kalashnikov, S. Dempe and S. Kavun , Bilevel optimal control, equilibrium and combinatorial problems with applications to engineering: editorial, Math. Volume , Article ID Nghia and D. D OI: Gupta, F. Jafari and R. Kipka Linear openness and feedback stabilization of nonlinear control systems, Disc. Ser S, 11 , Maksimov Feedback design of differential equations of reconstruction for second-order distributed systems, Int.

Tammer et al. Preface to the special issue dedicated to Franco Giannessi and Diethard Pallaschke, Optimization 66 , Nam, B. Rector and T. Sarabi Critical multipliers in variational systems via second-order generalized differentiation, Math. Tammer, etc. Laudatio for Rosalind Elster dedicated to her 70th birthday, Optimization 66 , Nam Extremality of convex sets with some applications, Optim. Cao Optimality conditions for a controlled sweeping process with applications to the crowd motion model, Disc.

B, 22 , Sarabi Stability analysis for composite optimization problems and parametric variational systems, J. Cao Optimal control of a perturbed sweeping process via discrete approximations, Disc. B, 21 , Parra , Variational analysis in semi-infinite and infinite programming, I: Stability of linear inequality systems of feasible solutions, Research Report 6 , 26 pp. Bao Set-valued optimization in welfare economics, Research Report 9 , 30 pp. Aragon Artacho Metric regularity and Lipschitzian stability of parametric variational systems, Research Report 5 , 30 pp. Nam Limiting subgradients of minimal time functions in Banach spaces, Research Report 9 , 21 pp.

Li, J. Wang and J. Yao Weak sharp minima on Riemannian manifolds, Research Report 4 , 27 pp. Chuong and J. Yao Hybrid approximate proximal algorithms for efficient solutions in vector optimization, Research Report 3 , 30 pp. Nam Second-order analysis of polyhedral systems in finite and infinite dimensions with applications to robust stability of variational inequalities, Research Report 2 , 33 pp. Ceng and J. Yao Hybrid approximate proximal methods with auxiliary variational inequality for vector optimization, Research Report 1 , 36 pp.

Wang , Optimal control of general functional-differential inclusions of neutral type, Proc. Control, Shanghai, China, Leizarowitz, I. Shafrir and A. Zaslavski, eds. Nam Polyhedral systems in finite and infinite dimensions with applications to robust stability of variational inequalities, Preprint No.

Nam and B. Wang Metric regularity of mappings and generalized normals to set images, Research Report 11 , 28 pp. Analysis,, 17 , Wang and L. Wang Optimization of delay-differential inclusions with infinite-dimensional state spaces, Research Report 10 , 21 pp. Wang Optimal control of delay-differential inclusions with functional endpoint constraints, Nonlinear Analysis 71 , Optimal control and feedback design of state-constrained parabolic systems under uncertainties, Proc IFAC.

Workshop on Control Applications of Optimization, Mou Necessary conditions for nonsmooth optimization problems with operator constraints in metric spaces, Research Report 7 , 23 pp. Nghia Qualification and optimality conditions for convex and DC programs with infinite constraints, Research Report 6 , 29 pp. Vietnamica, 34 , Multiobjective optimization problems with equilibrium constraints, Research Report 10 , 22 pp.

Yen Subgradients of marginal functions in parametric mathematical programming, Research Report 6 , 27 pp. New applications of variational analysis to optimization and control, Research Report 4 , 30 pp. Korytowski et al. Nam Variational analysis of extended generalized equations via coderivative calculus in Asplund spaces, Research Report 2 , 23 pp.

Bao Necessary conditions for super minimizers in constrained multiobjective optimization, Research Report 9 , 20 pp. Global Optim, 43 , Wang Optimal control of delay-differential inclusions with multivalued initial conditions in infinite-dimensional spaces, Research Report 1 , 30 pp. Optimization and feedback design of state-constrained parabolic systems, Research Report 8 , 21 pp. Chow and G. Yin, eds. Wang Optimal control of delay-differential inclusions with infinite-dimensional state spaces, Proc. Conference Controlo, Lisbon, Portugal, Solodov and M.

Bao and P. Gupta Suboptimality conditions for mathematical programs with equilibrium constraints, Report 7 , 19 pp. Geremew and N. Nam Coderivative calculus and metric regularity for constraint and variational systems, Research Report 6 , 31 pp. Huy and J. Yao Coderivatives of frontier and solution maps in parametric multiobjective optimization, Research Report 8 , 26 pp.

MAYFEB Journal of Mathematics

Failure of metric regularity for major classes of variational systems, Research Report 3 , 11 pp. Necessary and sufficient conditions for linear suboptimality in constrained optimization, Research Report 2 , 23 pp. Global Optim 40 , Methods of variational analysis in multiobjective optimization, Research Report 6 , Optimization 58 , Kunisch et al. Nemirovski and Yu. Suboptimal minimax design of constrained parabolic systems with mixed boundary control, Research Report 3 , 13 pp. Math Comp, , Dempe and J. Dutta Variational analysis in bilevel programming, Research Report 3 , 17 pp.

Neogy et al. Wang , Generalized differentiation of parameter-dependent sets and mappings, Research Report 14 , 25 pp. Optimization and equilibrium problems with equilibrium constraints in infinite-dimensional spaces, Research Report 3 , 28 pp. Characterizations of linear suboptimality for mathematical programs with equilibrium constraints, Research Report 7 , 21 pp.

Bao Existence of minimizers and necessary conditions for set-valued optimization with equilibrium constraints, Research Report 5 , 16 pp. Bao Variational principles for set-valued mappings with applications to multiobjective optimization, Research Report 2 , 28 pp. Cybernetics 36 , Donchev and E. Farkhi , Discrete approximations, relaxation, and optimization of one-sided Lipschitzian differential inclusions in Hilbert spaces, Research Report 1 , 28 pp.

Dutta New necessary optimality conditions in optimistic bilevel programming, Research Report 18 , 27 pp. Seidman Asymmetric games for convolution systems with application to feedback control of parabolic equations, Research Report 17 , 26 pp. Methods of variational analysis in vector optimization, Learning Manual of the Workshop on Optimization and Its Applications, pp. Multiobjective optimization via variational analysis, Learning Manual of the Workshop on Optimization and Its Applications, pp.

Recent advances in variational analysis with applications to optimization and control, Advanced in Computational Optimization and Its Application edited by K. Deb et al. Seidman Feedback control of constrained parabolic systems in uncertainty conditions via asymmetric games, Research Report 16 , 15 pp. Carja and I. Vrabei, pp. Suboptimal feedback control design of constrained parabolic systems in uncertainty conditions, Research Report 15 Optimal control of nonconvex differential inclusions, Research Report 13 , 16 pp.

Pennanen Epi-convergent discretization of the generalized Bolza problem in dynamic optimization, Research Report 12 , 10 pp. Outrata , Coderivative analysis of quasivariational inclusions with applications to stability and optimization, Research Report 11 , 27 pp; SIAM J. Gupta , Necessary conditions for multiobjective optimization with equilibrium constraints, Research Report 9 , 26 pp. Variational analysis in nonsmooth optimization and discrete optimal control, Research Report 5 , 22 pp.

Variational analysis of evolution inclusions, Research Report 4 , 23 pp. Cervinka Equilibrium problems with complementarity constraints: Case study with applications to oligopolistic markets, Research Report 4 , 16 pp. Shvartsman Minimax approach to feedback control of distributed-parameter systems, 10 pp.

Portuguese Control Conference, Decentralized convex-type equilibrium in nonconvex models of welfare economics via nonlinear prices, Mathematics Research Reports, pp. Yen Frechet subdifferential calculus and optimality conditions in nondifferentiable programming, Research Report 5 , 21 pp. Variational analysis and generalized differentiation; new trends and developments, Proc.

Arsenashvili and T. Tadumadze Optimal control of neutral variable structure systems with discontinuous initial conditions, Proc. Georgian Math. Congress, Tbilisi, Georgia, Loewen Subdifferential calculus in Asplund generated spaces, Research Report 7 , 16 pp. Coderivative calculus and robust Lipschitzian stability for variational systems, Research Report 2 , 24 pp. Variational Analysis and Generalized Differentiation. Discrete approximations of differential inclusions in infinite-dimensional spaces, Research Report 9 , 20 pp. Shvartsman On stability of the Pontryagin maximum principle with respect to time discretization, Proc.

Shvartsman On nonsmooth approximate maximum principle, Proc. Discussion on generalized derivatives and nonsmooth optimization, TOP 13 , No. Nonlinear prices and Pareto optimality in nonconvex economies, Research Report 1 , 16 pp. Wang Optimal control for semilinear evolution inclusions via discrete approximations, Research Report 11 , Control and Cybernetics 34 Nam Variational stability and marginal functions via generalized differentiation, Research Report 10 , 21 pp; Math. Nam Subgradients of distance functions at out-of-set points, Research Report 9 , 24 pp.

Nonlinear prices in nonconvex economic models with classical and strong Pareto optimal allocations, Research Report 8 , 21 pp.

Volume Cones and Pyramids

Nam Subgradients of distance functions with applications to Lipschitzian stability, Research Report 6 , 33 pp. Programming, Ser. B, , Wang Optimal control of delay systems with differential and algebraic dynamic constraints, Research Report 5 , 29 pp. Raymond Optimal control of hyperbolic equations with pointwise state constraints, 10 pp. Wang Restrictive metric regularity in variational analysis, 6 pp.


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Wang Optimal control of nonautonomous functional-differential inclusions of neutral type, 6 pp. Wang Optimal control of semilinear unbounded differential inclusions, 6 pp. Optimal control of evolution inclusions, Research Report 3 , 10 pp. Shvartsman "Optimal control and minimax synthesis of constrained parabolic systems under uncertain perturbations, 8pp.

Metrika članka

Wang Optimal control of differential-algebraic systems, Proc. Begehr, pp. Wang "Optimal control of delayed differential-algebraic inclusions," Research Report 15 , 28 pp. Shvartsman "The approximate maximum principle in constrained optimal control," Research Report 14 , 31 pp.

Wang "Generalized differentiation for moving objects," Research Report 13 , 11 pp. Malisoff and P.

Wolenski, eds. Shvartsman "Optimization and feedback control of constrained parabolic systems," Research Report 12 , 12 pp. Raymond "Neumann boundary control of hyperbolic systems under pointwise state constraints," Research Report 11 , 21 pp. Raymond "Dirichlet boundary control of hyperbolic systems in the presence of state constraints," Research Report 10 , 17 pp. Wang "Optimal control of differential-algebraic inclusions," Research Report 8 , 11 pp.

Xanthos, Cone characterization of Grothendieck spaces and Banach spaces containing c0 , Positivity 15 , — Rosenthal, A characterization of Banach spaces containing c0 , J. Terenzi, Every separable Banach space has a bounded strong norming biorthogonal sequence which is also Steintz basis, Studia Math. Keywords Conley index Morse theory Navier-Stokes equations Variational methods bifurcation critical point theory degree theory existence existence results fixed point fixed point index measure of noncompactness multiple solutions periodic solution periodic solutions positive solution positive solutions singular perturbations topological degree variational method variational methods.

Subject Classification Primary 46B10; Secondary 46B20 Directional derivative; cone isomorphism; convex mappings; cone convex mappings. Keywords Directional derivative; cone isomorphism; convex mappings; cone convex mappings. References F. Fixed Point Theory , 11 2 ; Huang, L. Journal of Mathematical Analysis and Applications , 2 : Hussain, N. Kadelburg, Z. Applied Mathematics Letters , 24 3 : Fixed Point Theory Appl.

ID , 17 pp. Khamsi, M. Numerical Functional Analysis and Optimization , 34 6 : Khani, M. Topology and its Applications , 2 : Krein, M. Doklady Acad. URSS , N. Uspekhi Mat. Nauk , [in Russian], N. Comptes Rend Acad Sci, Paris , , Nemytzki, V.