On Hölder continuity of solution maps to parametric vector primal and dual equilibrium problems. (English) Zbl 1396.49017
Summary: In this paper, we first propose some kinds of the strong convexity (concavity) for vector functions. Then, we apply these assumptions to establish sufficient conditions for the Hölder continuity of solution maps of the vector primal and dual equilibrium problems in metric linear spaces. As applications, we derive the Hölder continuity of solution maps of vector optimization problems and vector variational inequalities. Our results improve and generalize some recent existing ones in the literature.
MSC:
| 49K40 | Sensitivity, stability, well-posedness |
| 90C31 | Sensitivity, stability, parametric optimization |
| 91B50 | General equilibrium theory |
Keywords:
Hölder continuity; parametric vector equilibrium problem; strong convexity; vector optimization problem; vector variational inequalityReferences:
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