Overview

This volume, devoted to variational analysis and its applications, is made up of refereed contributions, which provide an outline of the field. New results, which enlarge the field of applications in variational analysis, are presented; they deal with vectorial analysis, time dependent variational analysis, exact penalization, high order derivatives, geometric aspects, distance functions and logquadratic proximal methodology. The theoretical results make it possible to improve, in a remarkable way, the study of significant problems arising from the applied sciences, such as the continuum model of transportation, unilateral problems, multicriteria spatial price models, network equilibrium problems and many others. Moreover, the progress made in the field also makes it possible to handle problems whose equilibrium conditions are not obtained by the minimization of a functional. These problems obey a more realistic equilibrium condition expressed by a generalized orthogonality (complementarity) condition, which enriches our knowledge of the equilibrium behaviour.

Full Product Details

Author:   P. Daniele ,  F. Giannessi ,  A. Maugeri
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2003 ed.
Volume:   68
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 23.50cm
Weight:   1.810kg
ISBN:  

9781402074707

ISBN 10:   1402074700
Pages:   446
Publication Date:   30 June 2003
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

On Vector Quasi—Equilibrium Problems.- The Log-Quadratic Proximal Methodology in Convex Optimization Algorithms and Variational Inequalities.- The Continuum Model of Transportation Problem.- The Economic Model for Demand—Supply Problems.- Constrained Problems of Calculus of Variations Via Penalization Technique.- Variational Problems with Constraints Involving Higher—Order Derivatives.- On the strong solvability of a unilateral boundary value problem for Nonlinear Parabolic Operators in the Plane.- Solving a Special Class of Discrete Optimal Control Problems Via a Parallel Interior—Point Method.- Solving Large Scale Fixed Charge Network Flow Problems.- Variable Projection Methods for Large—Scale Quadratic Optimization in data Analysis Applications.- Strong solvability of boundary value problems in elasticity with Unilateral Constraints.- Time Dependent Variational Inequalities — Some Recent Trends.- On the Contractibility of the Efficient and Weakly Efficient Sets in R2.- Existence Theorems for a Class of Variational Inequalities and Applications to a Continuous Model of Transportation.- On Auxiliary Principle for Equilibrium Problems.- Multicriteria Spatial Price Networks: Statics and Dynamics.- Non regular data in unilateral variational problems.- Equilibrium Concepts in Transportation Networks: Generalized Wardrop Conditions and Variational Formulations.- Variational Geometry and Equilibrium.- On the Calculation of Equilibrium in Time Dependent Traffic Networks.- Mechanical Equilibrium and Equilibrium Systems.- False Numerical Convergence in Some Generalized Newton Methods.- Distance to the Solution Set of an Inequality with an Increasing Function.- Transportation Networks with Capacity Constraints.

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