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http://dx.doi.org/10.4134/BKMS.2002.39.3.455

CONVERGENCE THEOREMS AND STABILITY PROBLEMS OF THE MODIFIED ISHIKAWA ITERATIVE SEQUENCES FOR STRICTLY SUCCESSIVELY HEMICONTRACTIVE MAPPINGS  

Liu, Zeqing (DEPARTMENT OF MATHEMATICS, LIAONING NORMAL UNIVERSITY)
Kim, Jong-Kyu (DEPARTMENT OF MATHEMATICS, KYUNGNAM UNIVERSITY)
Kim, Ki-Hong (DEPARTMENT OF MATHEMATICS, KYUNGNAM UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.39, no.3, 2002 , pp. 455-469 More about this Journal
Abstract
The Purpose Of this Paper is to introduce the concept of a class of strictly successively hemicontractive mappings and construct certain stable and almost stable iteration procedures for the iterative approximation of fixed points for asymptotically nonexpansive and strictly successively hemicontractive mappings in Banach spaces.
Keywords
asymptotically nonexpansive mapping; modified Ishikawa interative sequence with errors; stability; almost stability; strictly successively hemi-contractive mapping;
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  • Reference
1 Fixed point iteration processes for asymptotically nonexpansive mappings /
[ K. K. Tan;H. K. Xu ] / Proc. Amer. Math. Soc.   DOI   ScienceOn
2 Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces /
[ L. S. Liu ] / J. Math. Anal. Appl.   DOI   ScienceOn
3 Stability of the Mann and Ishikawa iteration procedures for φ-strong pseudo-contractions and nonlinear equations of the φ-strongly accretive type /
[ M. O. Osilike ] / J. Math. Anal. Appl.   DOI   ScienceOn
4 Iterative construction of fixed points of asymptotically nonexpansive mappings /
[ J. Schu ] / J. Math. Anal. Appl.   DOI
5 Nonlinear semigroups and evolution equations /
[ T. Kato ] / J. Math. Soc. Japan   DOI
6 Stability results for fixed point iteration procedures /
[ A. M. Harder;T. L. Hicks ] / Math. Japon
7 A fixed point theorem for asymptotically nonexpansive mappings /
[ K. Goebel;W. A. Kirk ] / Proc. Amer. Math. Soc.   DOI   ScienceOn
8 Construction of fixed points for asymptotically nonexpansive mappings /
[ G. B. Passty ] / Proc. Amer. Math. Soc.
9 Weak and strong convergence to fixed points of asymptotically nonexpansive mappings /
[ J. Schu ] / Bull. Austral. Math. Soc.   DOI
10 A stable iteration procedure for nonexpansive mappings /
[ A. M. Harder;T. L. Hicks ] / Math. Japon
11 Comments on two fixed point iteration methods /
[ B. E. Rhoades ] / J. Math. Anal. Appl.   DOI
12 Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property /
[ F. E. Bruck;T. Kuczumow;S. Reich ] / Colloq. Math.   DOI
13 Fixed point iterations for strictly hemicontractive maps in uniformly smooth Banach spaces /
[ C. E. Chidume;M. O. Osilike ] / Number Funct. Anal. Optimiz   DOI
14 Fixed points theory and stability results for fixed point iteration procedures /
[ A. M. Harder ] / Ph. D. thesis, University of Missouri-Rolla
15 Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type /
[ W. A. Kirk ] / Israel J. Math.   DOI
16 Weak convergence to the fixed point of an asymptotically nonexpansive map /
[ S. C. Bose ] / Proc. Amer. Math. Soc.   DOI   ScienceOn
17 Existence and convergence for fixed points of mappings of asymptotically nonexpansive type /
[ H. K. Xu ] / Nonlinear Anal.   DOI   ScienceOn