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Titlebook: Recent Developments in Optimization; Seventh French-Germa Roland Durier,Christian Michelot Book 1995 Springer-Verlag Berlin Heidelberg 1995

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楼主: gloomy
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Shape Sensitivity Analysis of Nonsmooth Shape Functionals,ptimization of material and structure [2]. Under appropriate regularity assumptions on deformations of geometrical domains by means of the material derivative method the directional differentiability for a class of nonsmooth and nonconvex shape functionals is established and the form of directional derivatives is obtained.
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Infinite-Horizon Problems under Holonomic Constraints,rk of continuous time and differentiability of the Lagrangian and of the constraint. These necessary conditions are based on two methods associating families of finite-horizon problems to the original problems.
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On Regularity of Optimal Control, minimum norm double integrator problem with bilateral piecewise cubic constraints we show that the optimal control is piecewise linear and provide a bound for the number of knots. As an application we consider a constrained best approximation problem.
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A Smooth Variational Principle for Vector Optimization Problems,ved and applied to develop necessary conditions for approximately efficient elements. The essential idea in the proof of the smooth variational principle is to use a suitable separation theorem for a nonconvex set and a convex cone and the original result of Borwein and Preiss [2].
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Intrinsic Bounds for Kuhn-Tucker Points of Perturbed Convex Programs,It is shown that, given two convex coercive programs in duality, primal and dual solutions behave in a generalized Hölderian way when the perturbation function varies with respect to the bounded-Hausdorff topology. Bounds are given for primal and dual solutions in terms of an intrinsic modulus appearing naturally.
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A Survey of Examples of Convex Functions and Classifications of Normed Spaces,This paper represents a slightly extended version of the eponymous talk given at the .. My aim is to illustrate the tight connection between the sequential properties of a Banach space and the corresponding properties of the convex functions and sets which may or may not be defined on that space.
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