数学
集合(抽象数据类型)
单调函数
参数统计
订单(交换)
关系(数据库)
解决方案集
非线性系统
最优化问题
数学优化
应用数学
数学分析
计算机科学
数据挖掘
程序设计语言
财务
经济
物理
统计
量子力学
出处
期刊:Advances in Pure Mathematics
[Scientific Research Publishing, Inc.]
日期:2020-01-01
卷期号:10 (11): 631-644
被引量:3
标识
DOI:10.4236/apm.2020.1011039
摘要
This paper mainly investigates the semicontinuity of solution mappings for set optimization problems under a partial order set relation instead of upper and lower set less order relations.To this end, we propose two types of monotonicity definition for the set-valued mapping introduced by two nonlinear scalarization functions which are presented by these partial order relations.Then, we give some sufficient conditions for the semicontinuity and closedness of solution mappings for parametric set optimization problems.The results presented in this paper are new and extend the main results given by some authors in the literature.
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