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A Nontopological Two-function Minimax Theorem with Monotone Transformations of the Functional Values

  • Ferenc Forgó
Part of the Applied Optimization book series (APOP, volume 59)

Abstract

A two-function minimax inequality with the following characteristics is proved: (i) the function on the less-side of the inequality is generalized concave in its first variable while the function on the greater-side is generalized convex in its second variable, (ii) generalized convexity/concavity is defined in terms of averages of monotone transformations of values of both functions, (iii) the proof is elementary, neither separation nor fixed-point theorems are used.

Keywords

Variational Inequality Generalize Convex Noncooperative Game Minimax Theorem Monotone Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Ferenc Forgó
    • 1
  1. 1.Department of Operations ResearchBudapest University of Economic SciencesBudapestHungary

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