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Qilin Wang, Maoyuan Lv, Cong Fan, Jen-Chih Yao, Yuwen Zhai, Variational sets and applications to sensitivity analysis

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DOI: 10.23952/jnva.9.2025.1.07

Volume 9, Issue 1, 1 February 2025, Pages 111-131

 

Abstract. In this paper, we first develop the chain and sum rules of the first-order variational sets of type 2. Then, by virtue of the variational sets of type 2, we investigate the sensitivity of variational inequalities. Finally, in terms of these sets, we establish sensitivity results for parametric set-valued equilibrium problems under the weak efficiency. Several examples are provided to illustrate our main results.

 

How to Cite this Article:
Q. Wang, M. Lv, C. Fan, J.C. Yao, Y. Zhai, Variational sets and applications to sensitivity analysis, J. Nonlinear Var. Anal. 9 (2025), 111-131.