A Proximal Point Method Involving Two Resolvent Operators | Zendy

Oganeditse A. Boikanyo | Zendy

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A Proximal Point Method Involving Two Resolvent Operators

Author(s) -

Oganeditse A. Boikanyo

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 - 10.1155/2012/892980

Subject(s) - mathematics , iterated function , hilbert space , resolvent , monotone polygon , point (geometry) , sequence (biology) , frame (networking) , construct (python library) , zero (linguistics) , operator (biology) , algorithm , discrete mathematics , pure mathematics , mathematical analysis , computer science , geometry , telecommunications , linguistics , philosophy , biochemistry , chemistry , repressor , biology , transcription factor , gene , genetics , programming language

We construct a sequence of proximal iterates that converges strongly (under minimal assumptions) to a common zero of two maximal monotone operators in a Hilbert space. The algorithm introduced in this paper puts together several proximal point algorithms under one frame work. Therefore, the results presented here generalize and improve many results related to the proximal point algorithm which were announced recently in the literature

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