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Properties of Hyperconvex Spaces and Fixed Point Theorems
Bae, Jong-Sook,Lee, Myong-Hee 명지대학교 대학원 1997 대학원논문집 Vol.1 No.-
A metric space is called (M, d) hyperconvex if for any collection of points {x_α} of and M for {γ_α} a collection of non-negative reals such that d(x_α, x_β)≤γ_α+γ_β we have ∩_αB(x_α, γ_α)≠φ. The purpose of this thesis is to study some properties of hyperconvex spaces and show the existence of a fixed point for maps on hyperconvex spaces.