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Zbl 1222.49013
Noor, Muhammad Aslam
Auxiliary principle technique for solving general mixed variational inequalities. (English)
[J] J. Adv. Math. Stud. 3, No. 2, 89-96 (2010). ISSN 2065-3506; ISSN 2065-5851/e

Summary: It is well known that the minimum of the sum of two nonconvex function can be characterized by a class of general mixed variational inequalities. In this paper, we use the auxiliary principle technique to prove the existence of a unique solution of the general mixed variational inequality. We also discuss some special cases.
MSC 2000:
*49J40 Variational methods including variational inequalities
90C33 Complementarity problems

Keywords: variational inequalities; nonconvex functions; auxiliary principle technique; existence

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