Liu, Zeqing; Sun, Juhe; Shim, Soo Hak; Kang, Shin Min Existence and algorithm of solutions for generalized nonlinear variational-like inequalities. (English) Zbl 1077.49007 Int. J. Math. Math. Sci. 2005, No. 12, 1843-1851 (2005). Summary: We introduce and study a new class of generalized nonlinear variational-like inequalities. Under suitable conditions, we prove the existence of solutions for this class of inequalities. A new iterative algorithm for finding the approximate solutions of the generalized nonlinear variational-like inequality is given and the convergence of the algorithm is also proved. The results presented in this paper improve and generalize some results in recent literature. Cited in 1 Document MSC: 49J40 Variational inequalities Keywords:variational inequalities; algorithm; convergence PDFBibTeX XMLCite \textit{Z. Liu} et al., Int. J. Math. Math. Sci. 2005, No. 12, 1843--1851 (2005; Zbl 1077.49007) Full Text: DOI EuDML