2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152427In this paper we explore solvability of steady-state variational inequalities with multivalued operators. Moreover, we are studying the connections between the class of radially semi-continuous operators with semi-bounded variation and classes of pseudo-monotone and monotone mappings, and some properties of this operators.5 pages, AMSTeX, to appear in Proceedings of the Seventh Crimean Autumn Mathematical School-Simposium on Spectral and Evolutionary Problems (September, 18--29, 1996, Sevastopol, Ukraine)Functional AnalysisSpectral Theorytext