On Hölder continuity of solution maps to parametric vector primal and dual equilibrium problems
Lâm Quốc Anh, Pham Thanh Duoc, Tran Ngoc Tam · Optimization · 2018
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.