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Equilibrium conditions and vector variational inequalities: a complex relation. (English) Zbl 1221.90036
The paper represents a short but significant contribution to the study of Wardrop-type vector equilibria, in connection with proper vector variational inequalities. In this context, the author suggests an original extension of the usual multicriteria and multicommodity problems to the multiobjective multiclass programs.
MSC:
90B20Traffic problems
91B50General equilibrium theory in economics
47J20Inequalities involving nonlinear operators
49J40Variational methods including variational inequalities
References:
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[8]Oettli W. (2001). Necessary and sufficient conditions of wardrop type for vectorial traffic equilibria. In: Giannessi, F., Maugeri, A. and Pardalos, P. (eds) Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models, Nonconvex Optim. Appl. vol. 58, pp 223–228. Kluwer Academic Publishers, Dordrecht
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[10]Yang X.Q. and Goh C.J. (1997). On Vector variational inequalities: application to vector equilibria. J. Optim. Theory Appl. 95(2): 431–443 · Zbl 0892.90158 · doi:10.1023/A:1022647607947
[11]Yang X.Q. and Yu H. (2005). Vector variational inequalities and dynamic traffic equilibria. In: Maugeri, A. and Giannessi, F. (eds) Variational Analysis and Applications. Nonconvex Optim. Appl. vol. 79, pp 1141–1157. Springer, New York