AN ITERATIVE PROCESS FOR FINDING APPROXIMATE SOLUTIONS TO NONLINEAR EQUATIONS OF STRONGLY ACCRETIVE OPERATORS  

作　　者：曾六川 

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》1997年第2期132-141,共10页

基　　金：The project supported by the Science and Technology Development Fund of Shanghai Higher Learning

摘　　要：In this paper, we investigate the Ishikawa iteration process in a p-uniformly smooth Banach space X. We prove that the Ishikawa iteration process converges strongly to the unique solution of the equation Tx=f when T is a Lipschitzian and strongly accretive operator frow X to X, or to the unique fixed point of T when T is a Lipschitzian and strictly pseudocontractive mapping from a nonempty closed convex subset K of X into itself. Our results are the extension and improvements of the earlier and recent results in this field.In this paper . we investigate the Ishikawa iteration process in a p umformly smooth Ba-nach space X. We prove that the Ishikawa iteration process converges strongly to the unique solution of the equation Tx = f when T is a Lipschitzian and strongly accretive operator from X to X, or to the unique fixed point of T when T is a Lipschitzian and strictly pseudocontractive mapping from a nonempty closed convex subset K of X into itself. Our results are the extension and improvements of the earlier and recent results in this field.

关 键 词：STRONGLY ACCRETIVE operators STRICTLY pseudocontractive mapping. p-vniformly SMOOTH BANACH space. 

分 类 号：O241.6[理学—计算数学]