Srinivasan, P. S.; Veeramani, P. On existence of equilibrium pair for constrained generalized games. (English) Zbl 1091.47060 Fixed Point Theory Appl. 2004, No. 1, 21-29 (2004). A best proximity pair theorem is proved for given nonempty subsets \(A\) and \(B\) of a normed linear space \(X\) and a Kakutani set-valued mapping \(T: A\to 2^B\). The existence of an equilibrium pair for constrained generalized games is also obtained under some conditions. Reviewer: Nan-Jing Huang (Chengdu) Cited in 1 ReviewCited in 21 Documents MSC: 47N10 Applications of operator theory in optimization, convex analysis, mathematical programming, economics 91B50 General equilibrium theory 91A99 Game theory 47H10 Fixed-point theorems 47H04 Set-valued operators 54H25 Fixed-point and coincidence theorems (topological aspects) Keywords:generalized game; set-valued mapping; best proximity pair; fixed point; equilibrium PDFBibTeX XMLCite \textit{P. S. Srinivasan} and \textit{P. Veeramani}, Fixed Point Theory Appl. 2004, No. 1, 21--29 (2004; Zbl 1091.47060) Full Text: DOI EuDML