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Minimax inequality and equilibria with a generalized coercivity

Chebbi S.

Journal of Applied Analysis

2006

Vol. 12, nr 1

119-127

In the first part of t his 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.