On sufficient conditions for the convergence of successive approximations

被引：0

作者：

Soldatenkov, IA ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Problems Mech, Moscow 117901, Russia

来源：

MATHEMATICAL NOTES | 1999年 / 65卷 / 5-6期

关键词：

metric space; contraction operator; successive approximations; fixed point principle;

D O I：

10.1007/BF02675586

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain sufficient conditions for the convergence of successive approximations to the solution of operator equations. We show how these conditions can be used in the case of nonlinear integral Hammerstein-type equations.

引用

页码：718 / 722

页数：5

共 50 条

[1] On sufficient conditions for the convergence of successive approximations
I. A. Soldatenkov
[J]. Mathematical Notes, 1999, 65 : 718 - 722
[2] THE SUFFICIENT CONDITIONS FOR THE CONVERGENCE OF THE METHOD OF SUCCESSIVE-APPROXIMATIONS WITH DISCONTINUOUS FUNCTIONS
KANIOVSKII, YM
[J]. USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1988, 28 (02): : 1 - 6
[3] ON THE CONVERGENCE OF SUCCESSIVE APPROXIMATIONS
WINTNER, A
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1946, 68 (01) : 13 - 19
[4] ON NECESSARY AND SUFFICIENT CONDITIONS FOR CONVERGENCE OF SINC-APPROXIMATIONS
Trynin, A. Yu.
[J]. ST PETERSBURG MATHEMATICAL JOURNAL, 2016, 27 (05) : 825 - 840
[5] A sufficient and necessary condition for the convergence of the sequence of successive approximations to a unique fixed point
Suzuki, Tomonari
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (11) : 4089 - 4093
[6] Sufficient Conditions for Convergence of Generalized Sinc-Approximations on Segment
Trynin A.Y.
[J]. Journal of Mathematical Sciences, 2021, 255 (4) : 513 - 533
[7] CHARACTERIZATION OF CONVERGENCE OF SUCCESSIVE APPROXIMATIONS
HILLAM, BP
[J]. AMERICAN MATHEMATICAL MONTHLY, 1976, 83 (04): : 273 - 273
[8] GLOBAL CONVERGENCE OF SUCCESSIVE APPROXIMATIONS
VIDOSSICH, G
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 45 (02) : 285 - 292
[9] A sufficient and necessary condition for the convergence of the sequence of successive approximations to a unique fixed point II
Suzuki, Tomonari
Alamri, Badriah
[J]. Fixed Point Theory and Applications, 2015,
[10] A sufficient and necessary condition for the convergence of the sequence of successive approximations to a unique fixed point II
Tomonari Suzuki
Badriah Alamri
[J]. Fixed Point Theory and Applications, 2015

← 1 2 3 4 5 →