典型文献
RELAXED INERTIAL METHODS FOR SOLVING SPLIT VARIATIONAL INEQUALITY PROBLEMS WITHOUT PRODUCT SPACE FORMULATION
文献摘要：
Many methods have been proposed in the literature for solving the split varia-tional inequality problem.Most of these methods either require that this problem is trans-formed into an equivalent variational inequality problem in a product space,or that the underlying operators are co-coercive.However,it has been discovered that such product space transformation may cause some potential difficulties during implementation and its approach may not fully exploit the attractive splitting nature of the split variational inequal-ity problem.On the other hand,the co-coercive assumption of the underlying operators would preclude the potential applications of these methods.To avoid these setbacks,we propose two new relaxed inertial methods for solving the split variational inequality problem without any product space transformation,and for which the underlying operators are freed from the restrictive co-coercive assumption.The methods proposed,involve projections onto half-spaces only,and originate from an explicit discretization of a dynamical system,which combines both the inertial and relaxation techniques in order to achieve high convergence speed.Moreover,the sequence generated by these methods is shown to converge strongly to a minimum-norm solution of the problem in real Hilbert spaces.Furthermore,numerical implementations and comparisons are given to support our theoretical findings.
文献关键词：
中图分类号：
作者姓名：
Grace Nnennaya OGWO;Chinedu IZUCHUKWU;Oluwatosin Temitope MEWOMO
作者机构：
School of Mathematics,Statistics and Computer Science,University of KwaZulu-Natal,Durban,South Africa
文献出处：
引用格式：
[1]Grace Nnennaya OGWO;Chinedu IZUCHUKWU;Oluwatosin Temitope MEWOMO-.RELAXED INERTIAL METHODS FOR SOLVING SPLIT VARIATIONAL INEQUALITY PROBLEMS WITHOUT PRODUCT SPACE FORMULATION)[J].数学物理学报（英文版）,2022(05):1701-1733
A类：
RELAXED,INERTIAL,SOLVING,VARIATIONAL,INEQUALITY,PROBLEMS,WITHOUT,PRODUCT,FORMULATION,inequal
B类：
METHODS,SPLIT,SPACE,Many,methods,have,been,proposed,literature,solving,inequality,problem,Most,these,either,require,that,this,formed,into,equivalent,variational,product,underlying,operators,are,coercive,However,has,discovered,such,transformation,may,cause,some,potential,difficulties,during,its,approach,not,fully,exploit,attractive,splitting,nature,On,other,hand,assumption,would,preclude,applications,To,avoid,setbacks,two,new,relaxed,inertial,without,which,freed,from,restrictive,involve,projections,onto,half,spaces,only,originate,explicit,discretization,dynamical,system,combines,both,relaxation,techniques,order,achieve,high,convergence,speed,Moreover,sequence,generated,by,shown,strongly,minimum,norm,solution,real,Hilbert,Furthermore,numerical,implementations,comparisons,given,support,our,theoretical,findings
AB值：
0.514431
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