The strong convergence theorems for split common fixed point problem of asymptotically nonexpansive mappings in Hilbert spaces

In this paper, an iterative algorithm is introduced to solve the split common fixed point problem for asymptotically nonexpansive mappings in Hilbert spaces. The iterative algorithm presented in this paper is shown to possess strong convergence for the split common fixed point problem of asymptotica...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2015; no. 1; pp. 1 - 11
Main Authors Zhang, Xin-fang, Wang, Lin, Ma, Zhao Li, Qin, Li Juan
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 29.12.2015
Subjects
Asymptotic properties
Convergence
Fixed points (mathematics)
Hilbert space
Inequalities
Iterative algorithms
Mapping
Mathematics
Theorems
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Summary:In this paper, an iterative algorithm is introduced to solve the split common fixed point problem for asymptotically nonexpansive mappings in Hilbert spaces. The iterative algorithm presented in this paper is shown to possess strong convergence for the split common fixed point problem of asymptotically nonexpansive mappings although the mappings do not have semi-compactness. Our results improve and develop previous methods for solving the split common fixed point problem. MSC: 47H09, 47J25.
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ISSN:1025-5834
1029-242X
DOI:10.1186/1029-242X-2015-1