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

Hongjie Liu, Junqing Wang and Qiansheng Feng

Abstract and Applied Analysis, 2012, vol. 2012, 1-11

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:917857

DOI: 10.1155/2012/917857

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