The Study of Minimax Inequalities and Applications to Economies and Variational Inequalities

Released on by George Xian-Zhi Yuan
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  • The Study of Minimax Inequalities and Applications to Economies and Variational Inequalities Book Detail

  • Author : George Xian-Zhi Yuan
  • Release Date : 1998
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 157
  • ISBN 13 : 0821807471
  • File Size : 65,65 MB
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The Study of Minimax Inequalities and Applications to Economies and Variational Inequalities by George Xian-Zhi Yuan PDF Summary

Book Description: This book provides a unified treatment for the study of the existence of equilibria of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities, which strongly depend on his infinite dimensional version of the classical Knaster, Kuratowski and Mazurkiewicz Lemma (KKM Lemma) in 1961. Studied are applications of general system versions of minimax inequalities and generalized quasi-variational inequalities, and random abstract economies and its applications to the system of random quasi-variational inequalities are given.

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