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Zbl 1128.65051
Noor, Muhammad Aslam; Yao, Yonghong
Three-step iterations for variational inequalities and nonexpansive mappings. (English)
[J] Appl. Math. Comput. 190, No. 2, 1312-1321 (2007). ISSN 0096-3003

The authors propose a new three-step iterative method for finding the common elements of the variational inequalities and the fixed points of the nonexpansive mappings. They also consider the convergence analysis of the new method for the strongly inverse co-coercive mappings. The results proved in this paper may be viewed as an important improvement of the previously known results. They are to some extent general in nature and may stimulate the topic of research.
[Akrur Behera (Rourkela)]

MSC 2000:: *65K10 Optimization techniques (numerical methods)
49J40 Variational methods including variational inequalities

Keywords: variational inequality problems; nonexpansive mapping; convergence

Cited in: Zbl 1229.47113

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