×

Hemiequilibrium problems. (English) Zbl 1069.49011

The author considers an extension of the hemivariational inequality in Hilbert spaces, where the variational inequality term is replaced by a nonlinear bi-function. Extensions of the Minty lemma and some iterative methods based on the auxiliary problem principle are presented. Unfortunately, the paper contains many typos and ambiguities which may cause misunderstanding of the results.

MSC:

49J40 Variational inequalities
47J20 Variational and other types of inequalities involving nonlinear operators (general)
49J52 Nonsmooth analysis
65K10 Numerical optimization and variational techniques
PDF BibTeX XML Cite
Full Text: DOI EuDML