Convergence,Scalarization and Continuity of Minimal Solutions in Set Optimization
作者机构：Department of MathematicsUniversity of DelhiDelhiDelhi110007India Department of MathematicsUniversity of Delhi South CampusNew DelhiDelhi110021India
出 版 物：《Journal of the Operations Research Society of China》 (中国运筹学会会刊（英文）)
年 卷 期：2024年第12卷第3期
页 面：773-793页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：supported by MATRICS scheme of Department of Science and Technology India(No.MTR/2017/00016)
主 题：Topological convergence Painlevé-Kuratowski convergence Upper semicontinuity Lower semicontinuity Stability Scalarization
摘 要：The paper deals with the study of two different aspects of stability in the given space as well as the image space,where the solution concepts are based on a partial order relation on the family of bounded subsets of a real normed linear *** first aspect of stability deals with the topological set convergence of families of solution sets of perturbed problems in the image space and Painlevé–Kuratowski set convergence of solution sets of the perturbed problems in the given *** convergence in the given space is also established in terms of solution sets of scalarized perturbed *** second aspect of stability deals with semicontinuity of the solution set maps of parametric perturbed problems in both the spaces.
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