Minimax Theory and Applications by Biagio Ricceri (English) Hardcover Book

Publisher Description

This volume contains the proceedings of the workshop on Minimax Theory and Applications, held from September 30 to October 6, 1996, in Erice, Italy. The book deals mainly with classical minimax theory, reflecting on trends in the basic theory. In particular, the role of connectedness, which replaces that of convexity appearing in most classical results, is clearly emerging. The applications concern, among other things, game theory, integral functionals and monotone operators. This work should be of interest to graduate students and researchers involved in functional analysis, mathematical programming and optimization, general topology, operator theory and game theory.

Table of Contents

Nonlinear Two Functions Minimax Theorems.- Weakly Upward-Downward Minimax Theorem.- A Two-Function Minimax Theorem.- Generalized Fixed-Points and Systems of Minimax Inequalities.- A Minimax Inequality for Marginally Semicontinuous Functions.- On Variational Minimax Problems under Relaxed Coercivity Assumptions.- A Topological Investigation of the Finite Intersection Property.- Minimax Results and Randomization for Certain Stochastic Games.- Intersection Theorems, Minimax Theorems and Abstract Connectedness.- K-K-M-S Type Theorems in Infinite Dimensional Spaces.- Hahn-Banach Theorems for Convex Functions.- Two Functions Generalization of Horvath's Minimax Theorem.- Some Remarks on a Minimax Formulation of a Variational Inequality.- Network Analysis.- On a Topological Minimax Theorem and its Applications.- Three Lectures on Minimax and Monotonicity.- Fan's Existence Theorem for Inequalities Concerning Convex Functions and its Applications.- An Algorithm for the Multi-Access Channel Problem.- Author Index.

Long Description

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

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