Constrained weak Nash-type equilibrium problems. (English) Zbl 1472.49022

Summary: A constrained weak Nash-type equilibrium problem with multivalued payoff functions is introduced. By virtue of a nonlinear scalarization function, some existence results are established. The results extend the corresponding one of J.-Y. Fu [J. Math. Anal. Appl. 285, No. 2, 708–713 (2003; Zbl 1031.49013)]. In particular, if the payoff functions are singlevalued, our existence theorem extends the main results of [loc. cit.] by relaxing the assumption of convexity.


49J40 Variational inequalities
49J53 Set-valued and variational analysis


Zbl 1031.49013
Full Text: DOI


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