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On variational-like inequalities. (English. Extended French abstract) Zbl 0807.47054

Summary: The theory of variational inequalities has become a powerful tool in studying a wide class of problems arising in various branches of mathematical and engineering sciences. Recently Parida, Sahoo and Kumar introduced and studied a variational-like inequality problem in \(\mathbb{R}^ n\). In this paper we study the existence of the solution of this problem in reflexive Banach spaces and topological vector spaces.

MSC:

47J20 Variational and other types of inequalities involving nonlinear operators (general)
49J40 Variational inequalities
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