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Recession methods for generalized vector equilibrium problems. (English) Zbl 1107.49007
The authors consider vector equilibrium problems with multi-valued bifunctions in reflexive Banach spaces. By using the recession cone technique, they present several sufficient conditions for existence of solutions and show that these conditions are necessary under pseudomonotonicity type assumptions. The results can be viewed as extensions of those in the paper by F. Flores-Bazán and F. Flores-Bazán [J. Glob. Optim. 26, 141–166 (2003; Zbl 1036.90060)] from the single-valued case.
MSC:
49J40Variational methods including variational inequalities
47J20Inequalities involving nonlinear operators
90C29Multi-objective programming; goal programming
49J53Set-valued and variational analysis