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Zbl 0886.49004
Noor, Muhammad Aslam
Some recent advances in variational inequalities. I: Basic concepts. (English)
[J] N. Z. J. Math. 26, No.1, 53-80 (1997). ISSN 1171-6096/e

This is a survey paper on various algorithms in Hilbert spaces for the solution of variational inequalities associated to indicator functions and other related problems (complementarity problems, quasivariational inequalities, general nonlinear variational inequalities, variational-like inequalities). In each case, the author discusses several approximation techniques: projection methods, Wiener-Hopf equation approach, auxiliary principles, gap functions, parallel implementation. The exposition is well organised and clear and the covered literature is very rich, including many personal contributions.
[P.Neittaanmäki (Jyväskylä)]

MSC 2000:: *49J40 Variational methods including variational inequalities
90C33 Complementarity problems
35J85 Unilateral problems; variational inequalities (elliptic type)

Keywords: variational inequalities; Wiener-Hopf equations; projection algorithm; auxiliary principle; invex; preinvex; variational-like inequalities; parallel algorithms; complementarity problems

Cited in: Zbl 1139.49012 Zbl 0988.49003 Zbl 0889.49006

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