Zhang, Xiaolan Fixed point theorems on \(W\)-space with applications to equilibrium. (English) Zbl 0899.47041 J. Nanjing Univ., Math. Biq. 14, No. 1, 23-32 (1997). 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 Keywords:fixed point theorems; section theorems; multi-valued mappings; \(W\)-spaces; Ky Fan minimax inequality; existence; equilibriums of abstract economy PDFBibTeX XMLCite \textit{X. Zhang}, J. Nanjing Univ., Math. Biq. 14, No. 1, 23--32 (1997; Zbl 0899.47041)