Overview
- Editors:
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Patrizia Daniele
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Department of Mathematics, University of Catania, Catania, Italy
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Franco Giannessi
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Department of Mathematics, University of Pisa, Pisa, Italy
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Antonino Maugeri
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Department of Mathematics, University of Catania, Catania, Italy
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Table of contents (24 chapters)
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Front Matter
Pages i-xiii
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- Qamrul Hasan Ansari, Jen-Chih Yao
Pages 1-18
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- Alfred Auslender, Marc Teboulle
Pages 19-52
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- Patrizia Daniele, Giovanna Idone, Antonino Maugeri
Pages 53-60
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- Patrizia Daniele, Antonino Maugeri
Pages 61-78
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- Vladimir F. Demyanov, Franco Giannessi
Pages 109-134
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- Carla Durazzi, Valeria Ruggiero, Gaetano Zanghirati
Pages 141-161
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- Burak EkÅŸioÄŸlu, Sandra Duni EkÅŸioÄŸlu, Panos M. Pardalos
Pages 163-183
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- Emanuele Galligani, Valeria Ruggiero, Luca Zanni
Pages 185-211
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- Nguyen Quang Huy, Ta Duy Phuong, Nguyen Dong Yen
Pages 265-279
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- Anna Nagurney, June Dong, Ding Zhang
Pages 299-321
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- Massimo Pappalardo, Mauro Passacantando
Pages 333-346
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- Michael Patriksson, R. Tyrrell Rockafellar
Pages 347-368
About this book
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.