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Existence and algorithm of solutions for generalized nonlinear variational-like inequalities. (English) Zbl 1077.49007

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.

MSC:

49J40 Variational inequalities
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