【摘要】 设X是实一致光滑Banach空间,K是X的非空凸有界子集,T:K→K是φ-半压缩映象。{α_n}n≥0,{β_n}n≥0,{γ_n}n≥0是[0,1]中的实数列满足如下条件: ①α_n→0,β_n→0,γ_n→0（n→∞） ②sum from n=0 α_n（1-α_n）=∞ 则对任意的x₀∈K,由Noor迭代过程 z_n=（1-γ_n）x_n+γ_nTx_n,y_n=（1-β_n）x_n+β_nTz,x_n+1=（1-α_n）x_n+α_nTy_n,n≥0所产生的序列{x_n}n≥0,强收敛于T的唯一不动点。相关结果处理了关于φ-强拟增生算子的非线性方程的迭代解。更多还原

【Abstract】 Let X be a real uniformly smooth Banach space, K(?)X a nonempty convex and boundedsubset,T: K→K a (?) -hemicontraction. Let {αn}n≥0, {βn }n≥0, and {γn}n≥0 be real sequences in [0,1] satisfying the following conditions :Then, for arbitrary initial value x0∈K, the Noor iterative process {xn}n≥0generated by (N)converges strongly to theunique fixed point of T.A related result deals with the iterative solutions of nonlinear equations involving (?) -strongly quasi-accretive operators.更多还原