An Inertial Algorithm for Solving Hammerstein Equations

被引：9

作者：

Chidume, Charles E. ^{[1
]}

Adamu, Abubakar ^{[1
]}

Nnakwe, Monday O. ^{[1
]}

机构：

[1] African Univ Sci & Technol, Dept Pure & Appl Math, EMS, Math Inst,ERCE, PMB 681, Abuja 900107, Nigeria

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 03期

关键词：

nonlinear equations; accretive maps; zeros; strong convergence; NONLINEAR INTEGRAL-EQUATIONS; MONOTONE-OPERATORS; STRONG-CONVERGENCE; APPROXIMATION; MAPPINGS;

D O I：

10.3390/sym13030376

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

An inertial algorithm for solving Hammerstein equations is presented. This algorithm is obtained as a consequence of a new inertial algorithm proposed and studied for solving nonlinear equations involving operators that are m-accretive. Some strong convergence theorems are proved in real Banach spaces that are uniformly smooth. Furthermore, comparisons of the numerical performance of our algorithms with the numerical performance of some recent important algorithms are presented.

引用

页码：1 / 13

页数：13

共 31 条

[1] Barbu V., 1972, ANN SCUOLA NORM-SCI, V26, P390
[2] ACCRETIVE SETS AND DIFFERENTIAL EQUATIONS IN BANACH SPACES
BREZIS, H
PAZY, A
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1970, 8 (04) : 367 - &
[3] NONLINEAR INTEGRAL-EQUATIONS AND SYSTEMS OF HAMMERSTEIN TYPE
BREZIS, H
BROWDER, FE
[J]. ADVANCES IN MATHEMATICS, 1975, 18 (02) : 115 - 147
[4] NONLINEAR MAPPINGS OF NONEXPANSIVE AND ACCRETIVE TYPE IN BANACH SPACES
BROWDER, FE
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 73 (06) : 875 - &
[5] MAXIMAL MONOTONE OPERATORS AND NONLINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE
BROWDER, FE
DEFIGUEI.DG
GUPTA, CP
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 76 (04) : 700 - &
[6] MONOTONE OPERATORS AND NONLINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE
BROWDER, FE
GUPTA, CP
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 75 (06) : 1347 - &
[7] Chidume CE, 2019, CARPATHIAN J MATH, V35, P305
[8] An iterative algorithm for approximating solutions of Hammerstein equations with monotone maps in Banach spaces
Chidume, C. E.
Bello, A. U.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2017, 313 : 408 - 417
[9] Strong Convergence Theorems for Zeros of Bounded Maximal Monotone Nonlinear Operators
Chidume, C. E.
Djitte, N.
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[10] Chidume C. E., 2003, Abstract and Applied Analysis, V2003, P353, DOI 10.1155/S1085337503209052

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