Implicit and Explicit Iterative Methods for Systems of Variational Inequalities and Zeros of Accretive Operators | Zendy

Lu-Chuan Ceng | Zendy; Saleh Abdullah Al-Mezel | Zendy; Qamrul Hasan Ansari | Zendy

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Implicit and Explicit Iterative Methods for Systems of Variational Inequalities and Zeros of Accretive Operators

Author(s) -

Lu-Chuan Ceng,

Saleh Abdullah Al-Mezel,

Qamrul Hasan Ansari

Publication year - 2013

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 - 10.1155/2013/631382

Subject(s) - variational inequality , mathematics , convergence (economics) , operator (biology) , set (abstract data type) , iterative method , method of steepest descent , descent (aeronautics) , mathematical optimization , computer science , biochemistry , chemistry , repressor , aerospace engineering , transcription factor , engineering , economics , gene , programming language , economic growth

Based on Korpelevich's extragradient method, hybrid steepest-descent method, and viscosity approximation method, we propose implicit and explicit iterative schemes for computing a common element of the solution set of a system of variational inequalities and the set of zeros of an accretive operator, which is also a unique solution of a variational inequality. Under suitable assumptions, we study the strong convergence of the sequences generated by the proposed algorithms. The results of this paper improve and extend several known results in the literature

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