Title of article
Convergence Theorems for -Strongly Accretive and -Hemicontractive Operators
Author/Authors
Zeqing Liu، نويسنده , , Shin Min Kang، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2001
Pages
15
From page
35
To page
49
Abstract
Suppose that X is an arbitrary real Banach space and T: X X is a continuous
-strongly accretive operator. It is shown that the nonlinear equation Tx f has a
unique solution and under certain conditions both the Mann and Ishikawa iteration
methods with errors introduced by Y. Xu Ž1998, J. Math. Anal. Appl. 224,
91 101. converge strongly to the solution. A related result deals with the approximation
of fixed points of -hemicontractive operators
Keywords
real Banach spaces. , -hemicontractive operators , Manniteration process with errors , Ishikawa iteration process with errors , Fixed points , -strongly accretive operators
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2001
Journal title
Journal of Mathematical Analysis and Applications
Record number
932391
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