多值φ-强增生算子的带误差项的Ishikawa迭代  

Ishikawa Iterative Process with Error for Multivalued φ- strongly Accelerative Mapping

作　　者：陆永明 

机构地区：[1]南通市电大通州分校,江苏通州226300

出　　处：《江苏广播电视大学学报》2002年第6期37-39,81,共4页Journal of Jiangsu Radio & Television University

摘　　要：设X为任意Banach空间,T:X D(T)2X为多值的-强增生算子,使方程f∈Tx有解。求证当T为Lipschitz时,对任意x0∈X,由含误差项的Ishikawa迭代定义的序列xn强收敛于方程f∈Tx的惟一解。Let X be an arbitrary Banach space, T:XD(T)→2X a multivalued  -strongly accelerative mapping such that the equation f∈Tx has a solution. It is proved in this paper that for any x 0∈X , the sequence xn defined by Ishikawa iterate with error converges strongly to the unique solution of f∈Tx , where T is Lipschitzian.

关 键 词：误差项 BANACH空间 多值算子 φ-强增生 ISHIKAWA迭代 

分 类 号：O177.6[理学—数学]