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Symmetric vector quasi-equilibrium problems. (English) Zbl 1031.49013
It is shown that the symmetric vector quasi-equilibrium is solvable under some suitable conditions. As its applications, a coincidence point theorem and the existence of vector optimization problems for a pair of vector-valued functions are obtained. Incidentally, we would like to point out that the symmetric quasi-equilibrium problems were introduced by M. A. Noor and W. Oettlie [“On general nonlinear complementarity problems and quasi-equilibria”, Matematiche 49, 313-331 (1994; Zbl 0839.90124)].

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