AUXILIARY PRINCIPLE TECHNIQUE FOR THE GENERAL LAX-MILGRAM LEMMA

被引：1
|
作者：
Rassias, Themistocles M. [1 ]
Noor, Muhammad Aslam [2 ]
Noor, Khalida Inayat [2 ]
机构：
[1] Natl Tech Univ Athens, Math Dept, Athens, Greece
[2] COMSATS Univ Islamabad, Math Dept, Islamabad, Pakistan
来源：
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2018年
关键词：
Absolute value equation; Lax-Milgram Lemma; Auxiliary principle; Iterative method; Convergence;
D O I：
10.23952/jnfa.2018.34
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we use the auxiliary principle technique to discuss the existence of a solution of the general Lax-Milgram lemma. This technique is also used to suggest some new iterative methods. Convergence analysis of the proposed methods is considered under some mild conditions. Ideas and techniques of this paper may stimulate further research in this research filed.
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页数：8
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