Approximation, Optimization and Mathematical Economics

The articles in this proceedings volume reflect the current trends in the theory of approximation, optimization and mathematical economics, and include numerous applications. The book will be of interest to researchers and graduate students involved in functional analysis, approximation theory, mathematical programming and optimization, game theory, mathematical finance and economics.

Contenu
On the Banach Contraction Principle for Multivalued Mappings.- The Second-order in Time Continuous Newton Method.- Polynomial Density in Lp(R, d?) and Representation of All Measures Which Generate a Determinate Hamburger Moment Problem.- Characterizing the Premium at the Equilibrium of a Reinsurance Market with Short Sale Constraints.- Computational Aspects of Primal Dual Proximal Algorithms for M-estimation with Constraints.- Approximate Saddle Point Assertions for a General Class of Approximation Problems.- Trends in Hölder Approximation.- Classical Overlapping Generations Models with Incomplete Markets.- Poisson-Hermite Representation of Solutions for the Equation$$\frac{{{\partial ^2}}}{{\partial {t^2}}}u\left( {x,t} \right) + {\Delta _x}u\left( {x,t} \right) - 2x\cdot{\nabla _x}u\left( {x,t} \right) = 0 $$.- Formulae for the Sensitivity Analysis of Linear Programming Problems.- Numerical Aspects in Locating the Corner of the L-curve.- Geometric Design by Means of a G2Continuous A-Spline.- The Veto Mechanism Revisited.- A Relaxed Cutting Plane Algorithm for Solving Fuzzy Variational Inequalities.- Towards Metric Theory of Metric Regularity.- Shape Extraction by Nonlinear Diffusion.- Existence of Cooperative Equilibria in Strategic Form Games.- A Note on Entropy Optimization.- Some Applications of the Mollification Method.- Observable Instability for the Repeated Prisoner's Dilemma.- Optimization and Algebraic Techniques for Image Analysis.- S.O.C.R.A.t.E.S. Simultaneous Optimal Control by Recursive and Adaptive Estimation System: Problem Formulation and Computational Results.- Approximation of Functions and Sets.- Approximating with Radial Basis Functions: an Evolutionary Approach.- Staircase Algorithm and Boundary Valued Convex Interpolation by Gregory'sSplines.- Generic Existence of Local Political Equilibrium.- The Feasible Set in Generalized Semi-Infinite Optimization.- The Complexity of High-Order Interior-Point Methods for Solving Sufficient Complementarity Problems.- Constructing Separable Objective Functions.- Polar Forms, p-Values, and the Core.- Orthogonal Matrix Polynomials, Connection Between Recurrences on the Unit Circle and on a Finite Interval.- Fast Least Squares Approximation Using Tensor Products of Functions and Linear Forms.