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中文摘要：
利用集合序列的P—K收敛的概念，在控制锥是正则锥但未必具有有界基的情况下，讨论了向量值优化和集值优化问题的有效点的稳定性，改进了[2]中相应的结论。另外，还给出了向量值优化和集值优化问题的弱有效点的稳定性，得到了线性算子下的稳定性结果。
英文摘要：
This paper investigates the stability of the sets of efficient points of vector - valued and set - valued optimization problems when the control cone is regular but need not have a bounded base in the sense of Painleve - Kuratowski convergence of set sequence. Our results improve those obtained by X. X. Huang in [ 1 ]. Besides this,this paper also investigates the stability of the sets of weak efficient points of vector - valued and set - valued optimization problems and obtains the stability result under the linear operators.
同期刊论文项目
同项目期刊论文
Stampacchia Vector Equilibrium Problems and Vector Complementarity Problems, Advances in Mathematics
Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium Problems
Note on Convergence Theorem of Iterative Sequences for Asymptotically Non-Expansive Mapping in a Uni
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