Stability of solution mapping for parametric symmetric vector equilibrium problems. (English) Zbl 1305.49029
Summary: This paper is concerned with the stability for a parametric symmetric vector equilibrium problem. A parametric gap function for the parametric symmetric vector equilibrium problem is introduced and investigated. By virtue of this function, we establish the sufficient and necessary conditions for the Hausdorff lower semicontinuity of solution mapping to a parametric symmetric vector equilibrium problem. The results presented in this paper generalize and improve the corresponding results in the recent literature.
MSC:
| 49K40 | Sensitivity, stability, well-posedness |
| 90C31 | Sensitivity, stability, parametric optimization |
Keywords:
symmetric vector equilibrium problem; semicontinuity; continuity; solution mapping; parametric gap functionReferences:
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