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典型文献
A New Modified Two-Subgradient Extragradient Algorithm for Solving Variational Inequality Problems
文献摘要:
In this paper,we propose a modified two-subgradient extragradient algorithm(MT-SEGA)for solving monotone and Lipschitz continuous variational inequalities with the feasible set being a level set of a smooth convex function in Hilbert space.The advantage of MTSEGA is that all the projections are computed onto a half-space per iteration.Moreover,MTSEGA only needs one computation of the underlying mapping per iteration.Under the same assumptions with the known algorithm,we show that the sequence generated by this algorithm is weakly convergent to a solution of the concerned problem.
文献关键词:
作者姓名:
Jiaxin CHEN;Minglu YE
作者机构:
School of Mathematical Sciences,Sichuan Normal University,Sichuan 610066,P.R.China;School of Mathematics and Information,China West Normal University,Sichuan 637002,P.R.China
文献出处:
引用格式:
[1]Jiaxin CHEN;Minglu YE-.A New Modified Two-Subgradient Extragradient Algorithm for Solving Variational Inequality Problems)[J].数学研究及应用,2022(04):402-412
A类:
Subgradient,Extragradient,MTSEGA
B类:
New,Modified,Two,Algorithm,Solving,Variational,Inequality,Problems,this,paper,propose,modified,two,subgradient,extragradient,algorithm,solving,monotone,Lipschitz,continuous,variational,inequalities,feasible,set,being,level,smooth,convex,function,Hilbert,space,advantage,that,all,projections,are,computed,onto,half,iteration,Moreover,only,needs,computation,underlying,mapping,Under,same,assumptions,known,show,sequence,generated,by,weakly,convergent,solution,concerned,problem
AB值:
0.657289
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