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Equilibrium Problems and Variational Models (Hardcover, 2003 ed.)
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Equilibrium Problems and Variational Models (Hardcover, 2003 ed.)
Series: Nonconvex Optimization and Its Applications, 68
Expected to ship within 10 - 15 working days
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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 deriva tives, geometric
aspects, distance functions and log-quadratic 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 han dle problems
whose equilibrium conditions are not obtained by the mini mization
of a functional. These problems obey a more realistic equilibrium
condition expressed by a generalized orthogonality
(complementarity) con dition, which enriches our knowledge of the
equilibrium behaviour. Also this volume presents important examples
of this formulation."
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