%0 Journal Article
%T Approximative Method of Fixed Point for ¦µ-Pseudocontractive Operator and an Application to Equation with Accretive Operator
%A Yixin Wen
%A Aifang Feng
%A Yuguang Xu
%J Journal of Applied Mathematics and Physics
%P 21-25
%@ 2327-4379
%D 2014
%I Scientific Research Publishing
%R 10.4236/jamp.2014.21004
%X <p>
	In this paper, ¦µ-pseudo-contractive
operators and ¦µ-accretive operators, more general than the strongly pseudo-contractive
operators and strongly accretive operators, are introduced. By setting up a new
inequality, authors proved that if &nbsp;is a uniformly continuous ¦µ-pseudo-contractive operator then T has
unique fixed point q and the Mann iterative sequence with random errors
approximates to q. As an application, the iterative
solution of nonlinear equation with ¦µ-accretive operator is obtained. The
results presented in this paper improve and generalize some corresponding
results in recent literature.
</p>
%K Duality Mapping
%K ¦µ-Pseudo-Contractive Operator
%K ¦µ-Accretive Operator
%K Mann Iterative Sequence with  Random Error Terms
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=41779