Convergence of SP iterative scheme with mixed errors for accretive Lipschitzian and strongly accretive Lipschitzian operators in Banach spaces

被引：11

作者：

Chugh, Renu ^{[1
]}

Kumar, Vivek ^{[1
]}

机构：

[1] Maharshi Dayanand Univ, Dept Math, Rohtak 124001, Haryana, India

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2013年 / 90卷 / 09期

关键词：

SP iterative scheme; stability; accretive operators; strongly accretive operators; NONLINEAR EQUATIONS; FIXED-POINTS; ISHIKAWA; MAPPINGS; APPROXIMATION; THEOREMS;

D O I：

10.1080/00207160.2013.765558

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the strong convergence of SP iterative scheme with mixed errors for the accretive Lipschitzian and strongly accretive Lipschitzian operators in Banach spaces. We show that this iterative scheme is almost stable for both types of operators. Moreover, with the help of computer programs in C++, comparison between SP, Ishikawa and Noor iterative schemes with errors is also shown for both types of operators through examples.

引用

页码：1865 / 1880

页数：16

共 24 条

[11]

Kim J. K., 2004, J NONLINEAR CONVEX A, V5, P285

[12] Convergence of Ishikawa iterative sequences for accretive Lipschitzian mappings in Banach spaces [J].

Kim, JK .

TAIWANESE JOURNAL OF MATHEMATICS, 2006, 10 (02) :553-561

[13]

Kim JK, 2003, COMMUN APPL NONLINEA, V10, P85

[14]

Kim Jong Kyu, 2004, [Communications of the KMS, 대한수학회논문집], V19, P267

[15] ISHIKAWA AND MANN ITERATIVE PROCESS WITH ERRORS FOR NONLINEAR STRONGLY ACCRETIVE MAPPINGS IN BANACH-SPACES [J].

LIU, LS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 194 (01) :114-125

[16]

Liu LS, 1998, NONLINEAR ANAL-THEOR, V34, P307

[17]

Liu Z., 2005, ACTA MATH ACAD PAEDA, V21, P185

[18] MEAN VALUE METHODS IN ITERATION [J].

MANN, WR .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 4 (03) :506-510

[19]

Osilike MO, 1997, INDIAN J PURE AP MAT, V28, P1017

[20] On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval [J].

Phuengrattana, Withun ;

Suantai, Suthep .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (09) :3006-3014

← 1 2 3 →