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Fixed point theorems on \(W\)-space with applications to equilibrium. (English) Zbl 0899.47041

Summary: Some fixed point theorems and section theorems for multi-valued mappings on \(W\)-spaces, which are equivalent to the topological Ky Fan minimax inequality, are proved in this paper. As applications, existence theorems for equilibriums of abstract economy are then suggested.

MSC:

47J20 Variational and other types of inequalities involving nonlinear operators (general)
47H10 Fixed-point theorems
47H04 Set-valued operators
91B50 General equilibrium theory
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