Ansari, Qamrul Hasan; Yao, Jen-Chih Generalized vector equilibrium problems. (English) Zbl 1079.90594 J. Stat. Manag. Syst. 5, No. 1-3, 209-225 (2002). Summary: We survey results concerning the existence of a solution to the generalized vector equilibrium problem which includes implicit vector variational inequality problems, extended generalized vector variational-like inequality problems, vector variational inequality problems and vector equilibrium problems as special cases. The analysis is done for both \(C_x\)-pseudomonotone and \(C_x\)-quasimonotone multifunctions and also without these monotonicities. Cited in 2 Documents MSC: 90C29 Multi-objective and goal programming 90C47 Minimax problems in mathematical programming 91B50 General equilibrium theory PDFBibTeX XMLCite \textit{Q. H. Ansari} and \textit{J.-C. Yao}, J. Stat. Manag. Syst. 5, No. 1--3, 209--225 (2002; Zbl 1079.90594) Full Text: DOI