Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models - Nonconvex Optimization and Its Applications Softcover reprint of the original 1st ed. 2001 edition

Marc Notes: Originally published: Dordrecht; Boston, Mass.: Kluwer Academic, 2007.; The aim of the book is to cover the fundamental aspects of research in equilibrium problems. It shows how many equilibrium problems follow a general law. Such law allows us to express the problem in terms of variational inequalities. Table of Contents: Preface. On the numerical solution of finite-dimensional variational inequalities by an interior point method; S. Bellavia, M. G. Gasparo. Fixed points in ordered Banach spaces and applications to elliptic boundary-value problems; G. Bonanno, S. Marano. A theorem of the alternative for linear control systems; P. Cubiotti. Variational inequalities for static equilibrium market. Lagrangean function and duality; P. Daniele. On dynamical equilibrium problems and variational inequalities; P. Daniele, A. Maugeri. Nonlinear programming methods for solving optimal control problems; C. Durazzi, E. Galligani. Optimal flow pattern in road networks; P. Ferrari. On the strong solvability of a unilateral boundary value problem for nonlinear discontinuous operators in the plane; S. Giuffre. Most likely traffic equilibrium route flows analysis and computation; T. Larsson, et al. Existence of solutions to bilevel variational problems in Banach spaces; M. B. Lignola, J. Morgan. On the existence of solutions to vector optimization problems; G. Mastroeni, M. Pappalardo. Equilibrium problems and variational inequalities; A. Maugeri. Axiomatization for approximate solutions in optimization; H. Norde, F. Patrone. Necessary and sufficient conditions of Wardrop type for vectorial traffic equilibria; W. Oettli. Approximate solutions and Tikhonov well-posedness for Nash equilibria; L. P. Chicco. Equilibrium in time dependent traffic networks with delay; F. Raciti. New results on local minima and their applications; B. Ricceri. An overview on projection-type methods for convex large-scale quadratic programs; V. Ruggiero, L. Zanni."

Contributor Bio:  Pardalos, Panos M Panos M. Pardalos is one of the leading experts in global optimization and control theory. V. Yatsenko's research is connected with control of bilinear systems, nonlinear estimation, control of quantum systems, and globabl optimization problems. Both Pardalos and Yatsenko have authored numerous publications including books and well-known scientific journals. Contributor Bio:  Giannessi, Franco Dept of Mathematics