Extended Newton-type method and its convergence analysis for nonsmooth generalized equations

被引：5

作者：

Rashid, M. H. ^{[1
]}

机构：

[1] Univ Rajshahi, Dept Math, Rajshahi 6205, Bangladesh

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 02期

关键词：

Generalized equation; Lipschitz-like mapping; extended Newton-type method; semilocal convergence; point based approximation; NORMAL MAPS; SYSTEMS; THEOREM; BEHAVIOR;

D O I：

10.1007/s11784-017-0415-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X and Y be Banach spaces and be an open subset of X. Suppose that is a single-valued function which is nonsmooth and it has point based approximations on and is a set-valued mapping with closed graph. An extended Newton-type method is introduced in the present paper for solving the nonsmooth generalized equation . Semilocal and local convergence of this method are analyzed based on the concept of point-based approximation.

引用

页码：1295 / 1313

页数：19

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