A Hybrid Proximal Algorithm for the Sum of Monotone Operators with Multivalued Mappings

作者:Kaewyong N; Kittiratanawasin L; Pukdeboon C; Sitthithakerngkiet K*
来源:Journal of Function Spaces, 2018, 2018: 2409375.
DOI:10.1155/2018/2409375

摘要

We modify a hybrid method and a proximal point algorithm to iteratively find a zero point of the sum of two monotone operators and fixed point of nonspreading multivalued mappings in a Hilbert space by using the technique of forward-backward splitting method. The strong convergence theorem is established and the illustrative numerical example is presented on this work. The results of this paper extend and improve some well-known results in the literature.

  • 出版日期2018

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