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1. The sufficient and necessary condition of iterative approximation to the fixed points of uniformly L-Lipschitzian asymptotically Φ-hemi-contractive mappings.

Author

Ran Kai

Subjects
APPROXIMATION algorithms, APPROXIMATION theory, FIXED point theory, LIPSCHITZ spaces, MATHEMATICAL mappings
Abstract

The problem of iterative approximation to the fixed points of uniformly L-Lipschitzian asymptotically Φ-hemi-contractive mappings are discussed in arbitrary Banach space. By using corresponding inequality of uniformly L-Lipschitzian and new analysis methods,a sufficient and necessary condition of modified Ishikawa iterative sequence with error approximation asymptotically Φ-hemi-contractive mappings is obtained,and some related conclusions are improved and generalized. [ABSTRACT FROM AUTHOR]

Published
2011

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