【摘要】 设K是实自反Banach空间E的一个闭凸子集,T：K→K是一个连续伪压缩映射,f：K→K是一个固定的L-Lipschitzian强伪压缩映射．对于任意的t∈(0,1),设x_t是tf+(1-t)T的唯一不动点．我们证明了如果T有不动点且有从E到E~*弱序列连续对偶映像,则当t趋于0时,{x_t}收敛于T的一个不动点．这个结果改进和推广了文[4]的相应结果．更多还原

【Abstract】 Let K be a closed convex subset of a real reflexive Banach space E,T: K→K be a continuous pseudocontractive mapping,and f:K→K be a fixed L-Lipschitzian strongly pseudocontractive mapping.For any t∈(0,1),let x_t be the unique fixed point of tf+(1-t)T.We prove that if T has a fixed point and E admits a weakly sequentially continuous duality mapping from E to E~*,then {x_t} converges to a fixed point of T as t approaches 0.The results presented extend and improve the corresponding results of [4].更多还原