Strong Convergence Theorems for Solutions of Equations of Hammerstein Type | Zendy

Chih-Sheng Chuang | Zendy

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Strong Convergence Theorems for Solutions of Equations of Hammerstein Type

Author(s) -

Chih-Sheng Chuang

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/541079

Subject(s) - scalable vector graphics , mathematics , convergence (economics) , path (computing) , combinatorics , matrix (chemical analysis) , type (biology) , operator (biology) , mathematical analysis , computer science , chemistry , materials science , composite material , ecology , biochemistry , repressor , transcription factor , gene , economics , biology , economic growth , programming language , operating system

We consider an auxiliary operator, defined in a real Hilbert space in terms of and , that is, monotone and Lipschitz mappings (resp., monotone and bounded mappings). We use an explicit iterative process that converges strongly to a solution of equation of Hammerstein type. Furthermore, our results improve related results in the literature

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