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Minimax Inequality and Equilibria with a Generalized Coercivity
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S. Chebbi
Published/Copyright:
June 9, 2010
Abstract
In the first part of this paper, we prove a minimax inequality for maps satisfying a generalized coercivity type condition. As a consequence, we prove a result on the solvability of complementarity problems. In the second part, a result on the existence of maximal element in non-compact domains is obtained and as application, we prove the existence of equilibrium for an abstract economy (or generalized game) with non-compact choice sets.
Key words and phrases.: Coercing family; minimax inequalities; complementarity problems; maximal elements; qualitative games; generalized games; abstract economies
Received: 2005-02-24
Revised: 2005-06-07
Published Online: 2010-06-09
Published in Print: 2006-June
© Heldermann Verlag
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Keywords for this article
Coercing family;
minimax inequalities;
complementarity problems;
maximal elements;
qualitative games;
generalized games;
abstract economies
Articles in the same Issue
- Non-Cohen Oracle C.C.C.
- An Elastic Contact Problem with Adhesion and Normal Compliance
- Mathematical Analysis of Thermoplasticity with Linear Kinematic Hardening
- A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications
- A Note on Stability of Solutions for Abstract Semilinear Dirichlet Problems
- Uniform Bounds for Bessel Functions
- Existence of Solutions for Nonlocal Boundary Value Problem with Singularity in Phase Variables
- On an Asymptotic Boundary Value Problem for Second Order Differential Equations
- Minimax Inequality and Equilibria with a Generalized Coercivity
- Products of Strong Świa̧tkowski Functions
- Darboux Problem with a Discontinuous Right-Hand Side
