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- Title
The sufficient and necessary condition of iterative approximation to the fixed points of uniformly L-Lipschitzian asymptotically Φ-hemi-contractive mappings.
- Authors
Ran Kai
- 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.
- Subjects
APPROXIMATION algorithms; APPROXIMATION theory; FIXED point theory; LIPSCHITZ spaces; MATHEMATICAL mappings
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2011, Vol 24, Issue 4, p521
- ISSN
1006-8341
- Publication type
Article