Balaj, Mircea Constant selections and minimax inequalities. (English) Zbl 1144.54027 Discuss. Math., Differ. Incl. Control Optim. 26, 159-173 (2006). The author obtains two constant selection theorems for a map \(S\) whose dual \(S^*\) is upper (respectively lower) semicontinuous. As applications, Fan type matching theorems [cf. Ky Fan, Math. Ann. 266, 519–537 (1984; Zbl 0515.47029)], analytic alternatives and minimax inequalities are obtained. Reviewer: S. L. Singh (Rishikesh) MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 54C60 Set-valued maps in general topology 49J35 Existence of solutions for minimax problems 52A07 Convex sets in topological vector spaces (aspects of convex geometry) Keywords:constant selection; acyclic map; matching theorem; analytic alternative; minimax inequality Citations:Zbl 0515.47029 PDFBibTeX XMLCite \textit{M. Balaj}, Discuss. Math., Differ. Incl. Control Optim. 26, 159--173 (2006; Zbl 1144.54027) Full Text: DOI Link