Zhang, Shisheng; Kang, Shikun; Zhang, Changbin Generalized quasivariational inequalities on paracompact convex sets and their applications. (Chinese. English summary) Zbl 1002.47046 J. Chengdu Univ. Sci. Technol. 1994, No. 5, 65-71 (1994). The authors study the existence problem of solutions for generalized quasi-variational inequalities on paracompact convex set. As an application, the authors unite the results presented in this paper to study the social equilibrium problem, game theory, fixed point problem and Debyunner-Flor inequality. Reviewer: Zhilin Yang (Qingdao, Shandong Province) MSC: 47J20 Variational and other types of inequalities involving nonlinear operators (general) 49J40 Variational inequalities 91A40 Other game-theoretic models 91D10 Models of societies, social and urban evolution Keywords:paracompact set; generalized quasi-variational inequalities; paracompact convex set; social equilibrium problem; game theory; fixed point problem; Debyunner-Flor inequality PDFBibTeX XMLCite \textit{S. Zhang} et al., J. Chengdu Univ. Sci. Technol. 1994, No. 5, 65--71 (1994; Zbl 1002.47046)