Tarafdar, E. An extension of Fan’s fixed point theorem and equilibrium point of an abstract economy. (English) Zbl 0745.47046 Commentat. Math. Univ. Carol. 31, No. 4, 723-730 (1990). The article deals with some fixed point theorems for multivalued mappings in locally convex spaces and their economical applications. The main topic is a new generalization of K. Fan’s fixed point theorem for almost upper semicontinuous mappings, Debreu and Shafer-Sonnenschein theorems on equilibrium points for the case of economics in locally convex topological vector spaces. Reviewer: P.Zabreiko (Minsk) Cited in 5 Documents MSC: 47H10 Fixed-point theorems 91B50 General equilibrium theory 47H04 Set-valued operators 52A07 Convex sets in topological vector spaces (aspects of convex geometry) 49J35 Existence of solutions for minimax problems 49K35 Optimality conditions for minimax problems 91B08 Individual preferences 91B16 Utility theory Keywords:fixed point theorems for multivalued mappings in locally convex spaces; K. Fan’s fixed point theorem for almost upper semicontinuous mappings; Debreu and Shafer-Sonnenschein theorems on equilibrium points for the case of economics in locally convex topological vector PDF BibTeX XML Cite \textit{E. Tarafdar}, Commentat. Math. Univ. Carol. 31, No. 4, 723--730 (1990; Zbl 0745.47046) Full Text: EuDML OpenURL