摘要
设Ｄ是赋范空间Ｘ的一有界凸子集，Ｔ：Ｄ→ＣＢ（Ｄ）是一集值非扩张映象．给定Ｄ中序列｛ｘ＿ｎ｝和两个实数列｛ｔ＿ｎ｝和｛Ｓ＿ｎ｝，满足（ｉ）０≤ｔ＿ｎ≤ｔ＜１，（ｉｉ）０≤ｓ＿ｎ≤１，（ｉｉｉ）ｘ＿ｎ＋１∈ｔ＿ｎＴｙ＿ｎ＋（１—ｔ＿ｎ）ｘ＿ｎ，ｙｎ∈ｓｎＴｘｎ十（１—ｓｎ），ｎ＝１，２，３，…．则ｌｉｍｄ（Ｔｘ＿ｎ，ｘ＿ｎ）＝０．
Let Dbe a Convex and bounded subset of a normed space X and T: →CB(D) be a multivalucd nonexpansive mapping. Given a sequence {x_n} in Dand two real sequences {t_n} and {s_n } satisfying Then limd (Tx_n,x_n)=0.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
1996年第3期218-221,共4页
Journal of Southwest China Normal University(Natural Science Edition)
