浙江大学学报（理学版）2024，Vol.51Issue(3)：292-298,7.DOI:10.3785/j.issn.1008-9497.2024.03.006
变分不等式解集和半压缩映射有限族公共不动点集的公共元的强收敛定理
Strong convergence theorem of common elements for variational inequality solution set and the set of common fixed point for a finite family of semi-contractive mappings
摘要
Abstract
An inertial viscous iterative algorithm is constructed for the common elements of variational inequality problems and fixed point problems.Under appropriate assumptions,it is proved that the iterative sequence generated by the constructed algorithm strongly converges to the common elements of the solution set of pseudo-monotone variational inequalities and the common fixed point set of a finite family of semi-contractive mappings by using demi-closed at zero,projection operator and other analysis techniques.Numerical experiments illustrate the effectiveness of the algorithm.The study of this paper improves and extends some recent relative results.关键词
变分不等式/不动点/半压缩映射有限族/强收敛性Key words
variational inequalities/fixed points/a finite family of semi-contractive mappings/strong convergence分类
数理科学引用本文复制引用
高兴慧,房萌凯,郭玥蓉,王永杰..变分不等式解集和半压缩映射有限族公共不动点集的公共元的强收敛定理[J].浙江大学学报（理学版）,2024,51(3):292-298,7.基金项目
国家自然科学基金资助项目(61866038) （61866038）
国家级大学生创新训练计划项目(202210719022) （202210719022）
延安大学研究生教育创新计划项目(YCX2023012) （YCX2023012）
延安大学科研计划项目(2023JBZR-012) （2023JBZR-012）
延安大学十四五中长期重大科研项目(2021ZCQ012). （2021ZCQ012）
