First, the notions of the measure of noncompactness and condensing setvalued mappings are introduced in locally FC-uniform spaces without convexity structure. A new existence theorem of maximal elements of a family of...First, the notions of the measure of noncompactness and condensing setvalued mappings are introduced in locally FC-uniform spaces without convexity structure. A new existence theorem of maximal elements of a family of set-valued mappings involving condensing mappings is proved in locally FC-uniform spaces. As applications, some new equilibrium existence theorems of generalized game involving condensing mappings are established in locally FC-uniform spaces. These results improve and generalize some known results in literature to locally FC-uniform spaces. Some further applications of our results to the systems of generalized vector quasi-equilibrium problems will be given in a follow-up paper.展开更多
作为一种新兴的教育方式,严肃游戏可以有效地促进知识生成和技能提升。为描绘国际严肃游戏领域的研究图景,本文借助Cite Space软件,收集和分析Web of Science核心合集数据库中包含的2007年至2021年有关严肃游戏研究的相关文献,通过构建...作为一种新兴的教育方式,严肃游戏可以有效地促进知识生成和技能提升。为描绘国际严肃游戏领域的研究图景,本文借助Cite Space软件,收集和分析Web of Science核心合集数据库中包含的2007年至2021年有关严肃游戏研究的相关文献,通过构建严肃游戏研究的发展历程、发展热点,以及发展趋势三个方面的知识图谱,厘清严肃游戏的定义和研究范畴。展开更多
针对饥饿游戏搜索算法(hunger games search, HGS)存在收敛速度慢和易陷入局部最优等缺点,提出了一种基于均衡池和莱维飞行的饥饿游戏搜索算法(equilibrium Lévy hunger games search, ELHGS)。该算法首先利用tent映射产生更具多...针对饥饿游戏搜索算法(hunger games search, HGS)存在收敛速度慢和易陷入局部最优等缺点,提出了一种基于均衡池和莱维飞行的饥饿游戏搜索算法(equilibrium Lévy hunger games search, ELHGS)。该算法首先利用tent映射产生更具多样性的初始种群;受到平衡优化器算法(EO)的启发,提出一种基于动态均衡池收敛的更新公式,其动态调整的更新策略使算法的全局搜索能力增强;为了进一步增强算法跳出局部最优的能力,在一定条件下对种群实施基于莱维飞行的变异操作。对23个基准函数进行仿真实验,结果显示与原始HGS算法相比,ELHGS求解精度更高、收敛更为迅速,在高维度多峰函数问题上效果最为显著。展开更多
基金the Natural Science Foundation of Sichuan Education Department of China (Nos.2003A081 and SZD0406)
文摘First, the notions of the measure of noncompactness and condensing setvalued mappings are introduced in locally FC-uniform spaces without convexity structure. A new existence theorem of maximal elements of a family of set-valued mappings involving condensing mappings is proved in locally FC-uniform spaces. As applications, some new equilibrium existence theorems of generalized game involving condensing mappings are established in locally FC-uniform spaces. These results improve and generalize some known results in literature to locally FC-uniform spaces. Some further applications of our results to the systems of generalized vector quasi-equilibrium problems will be given in a follow-up paper.
文摘作为一种新兴的教育方式,严肃游戏可以有效地促进知识生成和技能提升。为描绘国际严肃游戏领域的研究图景,本文借助Cite Space软件,收集和分析Web of Science核心合集数据库中包含的2007年至2021年有关严肃游戏研究的相关文献,通过构建严肃游戏研究的发展历程、发展热点,以及发展趋势三个方面的知识图谱,厘清严肃游戏的定义和研究范畴。
文摘针对饥饿游戏搜索算法(hunger games search, HGS)存在收敛速度慢和易陷入局部最优等缺点,提出了一种基于均衡池和莱维飞行的饥饿游戏搜索算法(equilibrium Lévy hunger games search, ELHGS)。该算法首先利用tent映射产生更具多样性的初始种群;受到平衡优化器算法(EO)的启发,提出一种基于动态均衡池收敛的更新公式,其动态调整的更新策略使算法的全局搜索能力增强;为了进一步增强算法跳出局部最优的能力,在一定条件下对种群实施基于莱维飞行的变异操作。对23个基准函数进行仿真实验,结果显示与原始HGS算法相比,ELHGS求解精度更高、收敛更为迅速,在高维度多峰函数问题上效果最为显著。
