Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space | Zendy

Hongjie Liu | Zendy; Junqing Wang | Zendy; Qiansheng Feng | Zendy

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Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space

Author(s) -

Hongjie Liu,

Junqing Wang,

Qiansheng Feng

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/917857

Subject(s) - mathematics , hilbert space , monotone polygon , strongly monotone , convergence (economics) , weak convergence , fixed point , inverse , pure mathematics , space (punctuation) , discrete mathematics , mathematical analysis , computer science , geometry , computer security , economics , asset (computer security) , economic growth , operating system

We prove the strong convergence theorems for finding a common element of the set of fixed points of a nonspreading mapping T and the solution sets of zero of a maximal monotone mapping and an α-inverse strongly monotone mapping in a Hilbert space. Manaka and Takahashi (2011) proved weak convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space; there we introduced new iterative algorithms and got some strong convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space

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