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Farajzadeh, Ali P.

On the symmetric vector quasi-equilibrium problems. (English) Zbl 1130.49008

J. Math. Anal. Appl. 322, No. 2, 1099-1110 (2006).
Summary: We, using a particular technique, consider the symmetric vector quasi-equilibrium problems in the Hausdorff topological vector space. As applications of our existence theorem, a coincidence point theorem and the existence of vector optimization problem for a pair of vector-valued mappings are obtained. Moreover, we answer an open question raised by J.-Y. Fu [J. Math. Anal. Appl. 285, No. 2, 708–713 (2003; Zbl 1031.49013)].

Cited in 11 Documents

MSC:

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

Keywords:

symmetric vector quasi-equilibrium problem; properly quasi-convex; acyclic map; admissible set

Citations:

Zbl 1031.49013
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\textit{A. P. Farajzadeh}, J. Math. Anal. Appl. 322, No. 2, 1099--1110 (2006; Zbl 1130.49008)
Full Text: DOI

References:

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