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On Hölder continuity of solution maps to parametric vector primal and dual equilibrium problems

Authors: 

Lam Quoc Anh, Pham Thanh Duoc and Tran Ngoc Tam*

Source title: 
Optimization, 67(8): 1169-1182, 2018 (ISI)
Academic year of acceptance: 
2018-2019
Abstract: 

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.