摘要设f是一个压缩常数为h的压缩映象,T是一个非扩张映象使得F(T)≠Φ。{xn}是由下式xn+1=αnf(xn)+(1-αn)1/n+1 sum Tjxn from j=0 to n,n∈N,定义的迭代序列,其中{αn}(0,1)且满足lim αn=0 n→∞和sum αn=∞ from n=1 to ∞。证明{xn}强收敛于F(T)中某个变分不等式的唯一
Abstract：Let f be a fixed contraction with contractive constant h and T be a non-expansive mapping with F(T)≠Φ.The sequence {xn} is iteratively defined as follows. xn+1=αn f(xn)+(1-αn)1/n+1 sum Tjxn from j=0 to n,n∈N,where {αn}(0,1) satisfies the conditi
2010, Vol. 34 