Title of article :
Convergence and almost stability of Ishikawa iterative scheme with errors for m-accretive operators
Author/Authors :
Zeqing Liu، نويسنده , , Shin Min Kang، نويسنده , , Yeol Je Cho، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2004
Abstract :
Let X be a uniformly smooth real Banach space and T : X → X be a generalized Lipschitzian and m-accretive operator. It is proved that under suitable conditions, the Ishikawa iterative schemes with errors both converges strongly to the unique solution of the nonlinear operator equation x + Tx = f and is almost stable. A few related results deal with the operator equations for the dissipative type operator. The results presented in this paper extend substantially the corresponding results in [1,2].
Keywords :
Ishikawa iteration sequence with errors , m-accretive operator , dissipative operator , Generalized Lipschitzian operator , Almost stability , Uniformly smooth Banach spaces
Journal title :
Computers and Mathematics with Applications
Journal title :
Computers and Mathematics with Applications