Generalized bi-quasi-variational inequalities for upper hemi-continuous operators in non-compact settings (Q1603245)

On the base of previous results of the author, e.g. \textit{M. S. R. Chowdhury} and \textit{K.-K. Tan} [Positivity, 3, No. 4, 333-344 (1999; Zbl 0937.47063)], \textit{M. S. R. Chowdhury} and \textit{E. Tarafdar} [J. Inequal. Appl. 5, No. 1, 63-89 (2000; Zbl 0958.47039)] and the concept of escaping sequence it is proved an existence theorem for non-compact generalized bi-quasi-variational inequalities with upper hemi-continuous and \(F\)-monotone (or \(h\)-bi-quasi-semi-monotone) operators. It is applied to the study of non-compact bi-complementarity problems with the same type of operators.