Minimax Theory and Applications

Stephen Simons

ISBN 10: 0792350642 / ISBN 13: 9780792350644

Edité par Springer Netherlands, Springer Netherlands Mai 1998, 1998

A propos de cet article

Neuware -The present volume contains the proceedings of the workshop on 'Minimax Theory and Applications' that was held during the week 30 September - 6 October 1996 at the 'G. Stampacchia' International School of Mathematics of the 'E. Majorana' Centre for Scientific Cul ture in Erice (Italy) . The main theme of the workshop was minimax theory in its most classical meaning. That is to say, given a real-valued function f on a product space X x Y , one tries to find conditions that ensure the validity of the equality sup inf f(x,y) = inf sup f(x, y). yEY xEX xEX yEY This is not an appropriate place to enter into the technical details of the proofs of minimax theorems, or into the history of the contribu tions to the solution of this basic problem in the last 7 decades. But we do want to stress its intrinsic interest and point out that, in spite of its extremely simple formulation, it conceals a great wealth of ideas. This is clearly shown by the large variety of methods and tools that have been used to study it. The applications of minimax theory are also extremely interesting. In fact, the need for the ability to 'switch quantifiers' arises in a seemingly boundless range of different situations. So, the good quality of a minimax theorem can also be judged by its applicability. We hope that this volume will offer a rather complete account of the state of the art of the subject.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 292 pp. Englisch.

N° de réf. du vendeur 9780792350644

Détails bibliographiques

• Titre: Minimax Theory and Applications
• Éditeur: Springer Netherlands, Springer Netherlands Mai 1998
• Date de parution: 1998
• Langue: anglais
• ISBN à 10 chiffres: 0792350642
• ISBN à 13 chiffres: 9780792350644
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 241 L x 160 H x 21 P (en millimètres) 241 millimètres de largeur par 160 millimètres de hauteur par 21 millimètres de profondeur
• Poids: 606 grammes

A propos de ce titre

Synopsis

The present volume contains the proceedings of the workshop on "Minimax Theory and Applications" that was held during the week 30 September - 6 October 1996 at the "G. Stampacchia" International School of Mathematics of the "E. Majorana" Centre for Scientific Cul- ture in Erice (Italy) . The main theme of the workshop was minimax theory in its most classical meaning. That is to say, given a real-valued function f on a product space X x Y, one tries to find conditions that ensure the validity of the equality sup inf f(x, y) = inf sup f(x, y). yEY xEX xEX yEY This is not an appropriate place to enter into the technical details of the proofs of minimax theorems, or into the history of the contribu- tions to the solution of this basic problem in the last 7 decades. But we do want to stress its intrinsic interest and point out that, in spite of its extremely simple formulation, it conceals a great wealth of ideas. This is clearly shown by the large variety of methods and tools that have been used to study it. The applications of minimax theory are also extremely interesting. In fact, the need for the ability to "switch quantifiers" arises in a seemingly boundless range of different situations. So, the good quality of a minimax theorem can also be judged by its applicability. We hope that this volume will offer a rather complete account of the state of the art of the subject.