大学数学
大學數學
대학수학
COLLEGE MATHEMATICS
2011年
4期
71-74
,共4页
Mann迭代%随机混合单调算子%随机解%正规锥
Mann迭代%隨機混閤單調算子%隨機解%正規錐
Mann질대%수궤혼합단조산자%수궤해%정규추
Mann iterative%random mixed monotone operator%random solutions%nomal cone
利用Mann迭代技巧,讨论了一类随机算子方程A(ω,x(ω),x(ω))=B(ω,x(ω))的随机解的存在唯一性,并给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果本质改进和推广.
利用Mann迭代技巧,討論瞭一類隨機算子方程A(ω,x(ω),x(ω))=B(ω,x(ω))的隨機解的存在唯一性,併給齣瞭迭代序列收斂于解的誤差估計,所得結果是某些已知結果本質改進和推廣.
이용Mann질대기교,토론료일류수궤산자방정A(ω,x(ω),x(ω))=B(ω,x(ω))적수궤해적존재유일성,병급출료질대서렬수렴우해적오차고계,소득결과시모사이지결과본질개진화추엄.
By using Mann iterative technique,the existence and uniqueness of random solutions of some random operator equations A(ω,x(ω),x(ω))=B(ω,x(ω)) is studied,and the iteration sequences which converge to solution of operator equations and the error estimates are also given.The results presented here improve and generalize some corresponding results.