【摘要】 <正> 定义1 距离空间(E,ρ)到自身的映射 T 称为(CK)映射,若0≤α,β<1,对任意x,y∈E,ρ(Tx,Ty)≤α·ρ(x,y).+β·[ρ(x,Tx)+ρ(y,Ty)].显然,这类映射,当β=0时,为 Banach 压缩映射;当α=0,β=1/2时,为 Kannan映射([1],[2]),当α=0时,为 Kannan —型映射([3]).距离空间(E,ρ)到自身的映射更多还原

【Abstract】 A mapping T of α metric space(E,ρ)into itself is called(CK)mappingifρ(Tx,Ty)≤αρ(x,y) +β[ρ(x,Tx)+ρ(y,Ty)]for all x、y∈E,where 0≤α,β<1.In this paper we shall give the certain pro-pe(?)ties of(CK)mappings,and the equivalent conditions and the sufficienconditions of the existence of α fixed point,and the conditions that satisfiesthe point x such that sequence{T~nx}converges to the fixed point for(CK)mappings.Some results in §.2 and §.4 are the extension of the results forKannan mappings and mean nonexpansive mappings,other results in §.2 and§.4,and the results in §.3,however are new.更多还原