Almost Stable Iteration Schemes for Local Strongly Pseudocontractive and Local Strongly Accretive Operators in Real Uniformly Smooth Banach Spaces
Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 2
Zeqing Liu; Yuguang Xu; Shin Min Kang. Almost Stable Iteration Schemes  for Local Strongly
Pseudocontractive and Local Strongly Accretive Operators in Real
Uniformly Smooth Banach Spaces. Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2008_77_2_a12/
@article{AMUC_2008_77_2_a12,
     author = {Zeqing Liu and Yuguang Xu and Shin Min Kang},
     title = {Almost {Stable} {Iteration} {Schemes}  for {Local} {Strongly
Pseudocontractive} and {Local} {Strongly} {Accretive} {Operators} in {Real
Uniformly} {Smooth} {Banach} {Spaces}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2008},
     volume = {77},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2008_77_2_a12/}
}
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Pseudocontractive and Local Strongly Accretive Operators in Real
Uniformly Smooth Banach Spaces
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%D 2008
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In this paper we establish the strong convergence and almost stability of the Ishikawa iteration methods with errors for the iterative approximations of either fixed points of local strongly pseudocontractive operators or solutions of nonlinear operator equations with local strongly accretive type in real uniformly smooth Banach spaces. Our convergence results extend some known results in the literature.