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Iterative Processes with Errors for Generalized Set-Valued φ-Hemi-contractive Mapping in Banach Spaces
引用本文:张勇.Iterative Processes with Errors for Generalized Set-Valued φ-Hemi-contractive Mapping in Banach Spaces[J].西南交通大学学报(英文版),2006,14(2).
作者姓名:张勇
作者单位:Department of
摘    要:Introduction Variational inequality is one of the most interest-ing and important mathematical problems and hasbeen studied intensively in the past years since theyhave wide applications to mechanics, physics, opti-mization and control, nonlinear programm…

关 键 词:Generalized  set-valued  φ-hemi-contractive  mapping  Ishikawa  and  Mann  iterative  processes  with  errors  q-uniformly  smooth  Banach  space  Hausdorff  metric  Generalized  duality  mapping

Iterative Processes with Errors for Generalized Set-Valued φ-Hemi-contractive Mapping in Banach Spaces
Zhang Yong.Iterative Processes with Errors for Generalized Set-Valued φ-Hemi-contractive Mapping in Banach Spaces[J].Journal of Southwest Jiaotong University,2006,14(2).
Authors:Zhang Yong
Abstract:A new conception of generalized set-valued φ-hemi-contractive mapping in Banach spaces is presented. Some strong convergence theorems of Ishikawa and Mann iterative approximation with errors is proved. The results in this paper improve and extend the earlier results.
Keywords:Ishikawa and Mann iterative processes with errors  q-uniformly smooth Banach space  Hausdorff metric  Generalized duality mapping
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