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Zbl 1169.49026
Kimura, Kenji; Yao, Jen-Chih
Sensitivity analysis of solution mappings of parametric generalized quasi vector equilibrium problems. (English)
[J] Taiwanese J. Math. 12, No. 9, 2233-2268 (2008). ISSN 1027-5487

Summary: We study the Parametric Generalized Quasi Vector Equilibrium Problem (PGQVEP). We investigate the existence of solution for PGQVEP and the continuity of the solution of PGQVEP. In particular, results concerning the lower semicontinuity of the solution of PGQVEP are presented.
MSC 2000:
*49K40 Sensitivity of optimal solutions in the presence of perturbations
49J40 Variational methods including variational inequalities
90C31 Sensitivity, etc.

Keywords: parametric generalized quasi vector equilibrium problem; solution mapping; upper semicontinuity; lower semicontinuity

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