Continuity of the solution set mappings to parametric unified weak vector equilibrium problems <i>via</i> free-disposal sets
Daqiong Zhou, Zai-Yun Peng, Zhi Lin, Jingjing Wang
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.].
Topics & Concepts
Parametric statisticsSet (abstract data type)MathematicsApplied mathematicsSolution setMathematical optimizationMathematical economicsPure mathematicsComputer scienceStatisticsProgramming languageOptimization and Variational AnalysisEconomic theories and modelsNonlinear Partial Differential Equations