Daniele P., Giannessi F., Maugeri A. (Eds.) Equilibrium Problems and Variational Models

Springer, 2003. — xiv, 446 p. — (Nonconvex Optimization and Its Applications, 68). — ISBN 978-1-4613-7955-3, 978-1-4613-0239-1.The volume, devoted to variational analysis and its applications, collects selected and refereed contributions, which provide an outline of the field. The meeting of the title «Equilibrium Problems and Variational Models», which was held in Erice (Sicily) in the period June 23 – July 2 2000, was the occasion of the presentation of some of these papers; other results are a consequence of a fruitful and constructive atmosphere created during the meeting. New results, which enlarge the field of application of variational analysis, are presented in the book; they deal with the vectorial analysis, time dependent variational analysis, exact penalization, high order derivatives, geometric aspects, distance functions and logquadratic proximal methodology. The new theoretical results allow one to improve in a remarkable way the study of significant problems arising from the applied sciences, as continuum model of transportation, unilateral problems, multicriteria spatial price models, network equilibrium problems and many others. As noted in the previous book «Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models», edited by F. Giannessi, A. Maugeri and P.M. Pardalos, Kluwer Academic Publishers, Vol. 58 (2001), the progress obtained by variational analysis has permitted 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. Also this volume presents important examples of this formulation.Preface
On Vector Quasi–Equilibrium Problems
Qamrul Hasan Ansari, Jen-Chih Yao
The Log–Quadratic Proximal Methodology in Convex Optimization Algorithms and Variational Inequalities
Alfred Auslender, Marc Teboulle
The Continuum Model of Transportation Problem
Patrizia Daniele, Giovanna Idone, Antonino Maugeri
The Economic Model for Demand–Supply Markets
Patrizia Daniele, Antonino Maugeri
Constrained Problems of Calculus of Variations Via Penalization Technique
Vladimir F. Demyanov
Variational Problems with Constraints Involving Higher-Order Derivatives
Vladimir F. Demyanov, Franco Giannessi
On the Strong Solvability of a Unilateral Boundary Value Problem for Nonlinear Parabolic Operators in the Plane
Rosalba Di Vincenzo
Solving a Special Class of Discrete Optimal Control Problems Via a Parallel Interior—Point Method
Carla Durazzi, Valeria Ruggiero, Gaetano Zanghirati
Solving Large Scale Fixed Charge Network Flow Problems
Burak Ekşioğlu, Sandra Duni Ekşioğlu, Panos M. Pardalos
Variable Projection Methods for Large–Scale Quadratic Optimization in Data Analysis Applications
Emanuele Galligani, Valeria Ruggiero, Luca Zanni
Strong Solvability of Boundary Value Problems in Elasticity with Unilateral Constraints
Sofia Giuffrè
Time Dependent Variational Inequalities – Some Recent Trends
Joachim Gwinner
On the Contractibility of the Efficient and Weakly Efficient Sets in R²
Nguyen Quang Huy, Ta Duy Phuong, Nguyen Dong Yen
Existence Theorems for a Class of Variational Inequalities and Applications to a Continuous Model of Transportation
Francesco Marino
On Auxiliary Principle for Equilibrium Problems
Giandomenico Mastroeni
Multicriteria Spatial Price Networks: Statics and Dynamics
Anna Nagurney, June Dong, Ding Zhang
Non Regular Data in Unilateral Variational Problems
Pirro Oppezzi
Equilibrium Concepts in Transportation Networks: Generalized Wardrop Conditions and Variational Formulations
Massimo Pappalardo, Mauro Passacantando
Variational Geometry and Equilibrium
Michael Patriksson, R. Tyrrell Rockafellar
On the Calculation of Equilibrium in Time Dependent Traffic Networks
Fabio Raciti
Mechanical Equilibrium and Equilibrium Systems
Tamás Rapcsák
False Numerical Convergence in Some Generalized Newton Methods
Stephen M. Robinson
Distance to the Solution Set of an Inequality with an Increasing Function
Alex M. Rubinov
Transportation Networks with Capacity Constraints
Laura ScrimaliФайл: отскан. стр. (b/w 600 dpi) + OCR