Approximation, Optimization and Mathematical Economics

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’s Splines -- 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.