GENERAL SPLIT FEASIBILITY PROBLEMS FOR TWO FAMILIES OF NONEXPANSIVE MAPPINGS IN HILBERT SPACES

GENERAL SPLIT FEASIBILITY PROBLEMS FOR TWO FAMILIES OF NONEXPANSIVE MAPPINGS IN HILBERT SPACES

The purpose of this article is to introduce a general split feasibility problems for two families of nonexpansive mappings in Hilbert spaces. We prove that the sequence generated by the proposed new algorithm converges strongly to a solution of the general split feasibility problem. Our results exte...

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Veröffentlicht in:Acta mathematica scientia 2016-03, Vol.36 (2), p.602-613
1. Verfasser: 唐金芳 张石生 刘敏
Format: Artikel
Sprache:eng
Schlagworte:
47H09
47J25
90C25
Algorithms
Feasibility
General split feasibility problems
Hilbert space
Mapping
Mathematical analysis
nonexpansive mappings
strong convergence
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Zusammenfassung:The purpose of this article is to introduce a general split feasibility problems for two families of nonexpansive mappings in Hilbert spaces. We prove that the sequence generated by the proposed new algorithm converges strongly to a solution of the general split feasibility problem. Our results extend and improve some recent known results.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30024-8