Convergence theorems for the fixed points of two finite families of set-valued asymptotically nonexpansive mappings

SONG Chuan-jing; WU Jian-rong

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Jan. 2013

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SONG Chuan-jing, WU Jian-rong. Convergence theorems for the fixed points of two finite families of set-valued asymptotically nonexpansive mappings[J]. Journal of East China Normal University (Natural Sciences), 2013, (1): 41-46, 75.

Citation:

SONG Chuan-jing, WU Jian-rong. Convergence theorems for the fixed points of two finite families of set-valued asymptotically nonexpansive mappings[J]. Journal of East China Normal University (Natural Sciences), 2013, (1): 41-46, 75.

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Convergence theorems for the fixed points of two finite families of set-valued asymptotically nonexpansive mappings

1.
School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou Jiangsu

Received Date: 2012-04-01
Rev Recd Date: 2012-07-01
Publish Date: 2013-01-25

Abstract

Abstract

The common fixed points of two finite families of set-valued asymptotically nonexpansive mappings were studied in real uniformly convex Banach spaces. A finite-step iteration process for these two families was introduced, and some strong convergence theorems for this scheme were proved. The results improve and extend some recent relative results.
- uniformly convex Banach space,
- set-valued asymptotically nonexpansive mapping,
- finite-step iteration process,
- common fixed points

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