Some geometric solvability theorems in topological vector spaces
Bull. Korean Math. Soc. 1997 Vol. 34, No. 2, 273-285
H. Ben-El-Mechaiekh and G. Isac Brock University, Royal Military College of Canada
Abstract : We derive from the Browder-Fan fixed point theorem existence results for zeros of (family of) mappings defined on convex subsets of topological vector spaces, with values in vector spaces and subject to geometric conditions of ``Darboux-type" or to general conditions of inwardness.