典型文献
METRICALLY REGULAR MAPPING AND ITS UTILIZATION TO CONVERGENCE ANALYSIS OF A RESTRICTED INEXACT NEWTON-TYPE METHOD
文献摘要：
In the present paper,we study the restricted inexact Newton-type method for solving the generalized equation 0 ∈ f(x)+F(x),where X and Y are Banach spaces,f :X → Y is a Fréchet differentiable function and F:X (→→) Y is a set-valued mapping with closed graph.We establish the convergence criteria of the restricted inexact Newton-type method,which guarantees the existence of any sequence generated by this method and show this generated sequence is convergent linearly and quadratically according to the particular assumptions on the Fréchet derivative of f.Indeed,we obtain semilocal and local convergence results of restricted inexact Newton-type method for solving the above generalized equation when the Fréchet derivative of f is continuous and Lipschitz continuous as well as f + F is metrically regular.An application of this method to variational inequality is given.In addition,a numerical experiment is given which illustrates the theoretical result.
文献关键词：
中图分类号：
作者姓名：
Mohammed Harunor Rashid
作者机构：
Institute of Computational Mathematics and Scientific/Engineering Computing,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China;Department of Mathematics,Faculty of Science,University of Rajshahi,Rajshahi-6205,Bangladesh
文献出处：
引用格式：
[1]Mohammed Harunor Rashid-.METRICALLY REGULAR MAPPING AND ITS UTILIZATION TO CONVERGENCE ANALYSIS OF A RESTRICTED INEXACT NEWTON-TYPE METHOD)[J].计算数学（英文版）,2022(01):44-69
A类：
METRICALLY,REGULAR,MAPPING,UTILIZATION,CONVERGENCE,ANALYSIS,RESTRICTED,INEXACT,NEWTON,semilocal,metrically
B类：
AND,ITS,OF,TYPE,METHOD,present,paper,study,restricted,inexact,Newton,type,method,solving,generalized,equation,+F,where,are,Banach,spaces,Fr,chet,differentiable,function,set,valued,mapping,closed,graph,We,establish,convergence,criteria,which,guarantees,existence,any,sequence,generated,by,this,show,convergent,linearly,quadratically,according,particular,assumptions,derivative,Indeed,obtain,results,above,when,continuous,Lipschitz,well,regular,An,application,variational,inequality,given,addition,numerical,experiment,illustrates,theoretical
AB值：
0.488052
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