CONVERGENCE OF AN ISHIKAWA-TYPE INTERACTION SCHEME FOR A GENERALIZED CONTRACTION

被引：17

作者：

RHOADES, BE

机构：

[1] Department of Mathematics, Indiana University, Bloomington

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1994年 / 185卷 / 02期

关键词：

D O I：

10.1006/jmaa.1994.1253

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the result of Xu [J. Math. Anal. Appl. 167 (1992), 582-587], dealing with an Ishikawa-type iteration for a map T satisfying Ciric's definition [Proc. Amer. Math. Soc.], can be extended to a wider class of maps. (C) 1994 Academic Press, Inc.

引用

收藏

页码：350 / 355

页数：6

相关论文

共 9 条

[1] INTEGRAL TEST FOR SERIES AND GENERALIZED CONTRACTIONS [J].

ALTMAN, M .

AMERICAN MATHEMATICAL MONTHLY, 1975, 82 (08) :827-829

[2]

CHIDUME CE, 1988, APPL ANAL, V27, P19

[3] GENERALIZATION OF BANACHS CONTRACTION PRINCIPLE [J].

CIRIC, LB .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 45 (02) :267-273

[4] FIXED-POINTS BY A NEW ITERATION METHOD [J].

ISHIKAWA, S .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 44 (01) :147-150

[5]

Rhoades B.E., 1991, INT J MATH SCI, V14, P1, DOI DOI 10.1155/S0161171291000017

[6] FIXED-POINT ITERATIONS USING INFINITE MATRICES [J].

RHOADES, BE .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 196 (SEP) :161-176

[7] 2 FIXED-POINT ITERATION METHODS [J].

RHOADES, BE .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1976, 56 (03) :741-750

[8]

RHOADES BE, 1989, MATH JPN, V34, P975

[9] A NOTE ON THE ISHIKAWA ITERATION SCHEME [J].

XU, HK .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 167 (02) :582-587