A Self-Adaptive Method for Solving a System of Nonlinear Variational Inequalities | Zendy

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A Self-Adaptive Method for Solving a System of Nonlinear Variational Inequalities

Author(s) -

Chaofeng Shi

Publication year - 2007

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2007/23795

Subject(s) - generalization , computation , convergence (economics) , nonlinear system , mathematics , variational inequality , iterative method , mathematical optimization , computer science , algorithm , mathematical analysis , physics , quantum mechanics , economics , economic growth

The system of nonlinear variational inequalities (SNVI) is a useful generalization of variational inequalities. Verma (2001) suggested and analyzed an iterative method for solving SNVI. In this paper, we present a new self-adaptive method, whose computation cost is less than that of Verma's method. The convergence of the new method is proved under the same assumptions as Verma's method. Some preliminarycomputational results are given to illustrate the efficiency of the proposed method

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