Continuity of the solution set mappings to parametric unified weak vector equilibrium problems via free-disposal sets

¹ College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400047, P.R. China
² Chongqing City Vocational College, Chongqing 402106, P.R. China
³ School of Mathematics, Physics and Big Data, Chongqing University of Science and Technology, Chongqing 401331, P.R. China

^* Corresponding author: zhoudaqiong 2018@126.com(Daqiong Zhou), pengzaiyun@126.com(Zaiyun Peng)

Received: 29 November 2019
Accepted: 30 January 2024

Abstract

In this paper, the lower and upper semicontinuity of the solution mappings for parametric unified weak vector equilibrium problem (PUWVEP) are established, via free-disposal set and non-linear scalarization function. Moreover, example is given to illustrate the obtained results. The results improve the corresponding ones in the literature [Z.Y. Peng and S.S. Chang, Optim. Lett. (2014) 8 159–169.], [Z.Y. Peng, X.B. Li, X.J. Long and X.D. Fan, Optim. Lett. (2018) 12 1339–1356.], [Z.Y. Peng, J.W. Peng, X.J. Long and J.C. Yao, J. Global Optim. 70 (2018) 55–69.].