Modified Block Iterative Algorithm for Solving Convex Feasibility Problems in Banach Spaces

The purpose of this paper is to use the modified block iterative method to propose an algorithm for solving the convex feasibility problems for an infinite family of quasi- -asymptotically nonexpansive mappings. Under suitable conditions some strong convergence theorems are established in uniformly...

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Bibliographic Details
Published in:Journal of inequalities and applications Vol. 2010; no. 1; pp. 1 - 14
Main Authors: Chang, Shih-sen, Kim, JongKyu, Wang, XiongRui
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.01.2010
Springer Nature B.V
SpringerOpen
Subjects:
Algorithms
Analysis
Applications of Mathematics
Banach spaces
Hilbert space
Mathematics
Mathematics and Statistics
Mathematics education
Research Article
Selected Papers from the 10th International Conference 2009 on Nonlinear Functional Analysis and Applications
Studies
Nonempty Closed Convex Subset
Banach Space
Lower Semicontinuity
Nonexpansive Mapping
Common Fixed Point
ISSN:1025-5834, 1029-242X
Online Access:Get full text
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Summary:The purpose of this paper is to use the modified block iterative method to propose an algorithm for solving the convex feasibility problems for an infinite family of quasi- -asymptotically nonexpansive mappings. Under suitable conditions some strong convergence theorems are established in uniformly smooth and strictly convex Banach spaces with Kadec-Klee property . The results presented in the paper improve and extend some recent results.
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content type line 14
ISSN:1025-5834
1029-242X
DOI:10.1155/2010/869684