Foundations of the KKM theory on generalized convex spaces
Using the concept of generalized convex space and a coincidence theorem given in the authors' paper [ibid. 197, No. 1, 173-187 (1996; Zbl 0851.54039)], some generalizations of the KKM theorem, the matching theorem, a whole intersection property, an analytic alternative, the Fan Ky minimax inequality, geometric or section properties, and others on generalized convex spaces are obtained. The results presented improve, extend and unify many recent results.
scientific article; zbMATH DE number 1031622
scientific article