Common fixed points and best approximation

被引：86

作者：

AlThagafi, MA

机构：

[1] Department of Mathematics, Faculty of Science, King Abdul Aziz University, Jeddah 21487

来源：

JOURNAL OF APPROXIMATION THEORY | 1996年 / 85卷 / 03期

关键词：

D O I：

10.1006/jath.1996.0045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a common fixed-point theorem generalizing results of Dotson and Habiniak. Using this result, we extend, generalize, and unify well known results an fixed points and common fixed points of best approximation. (C) 1996 Academic Press, Inc.

引用

页码：318 / 323

页数：6

共 11 条

[1]

BROSOWSKI B, 1969, MATH CLUJ, V11, P195

[2]

DOTSON WG, 1972, J LOND MATH SOC, V4, P408

[3] FIXED-POINT THEOREMS AND INVARIANT APPROXIMATIONS [J].

HABINIAK, L .

JOURNAL OF APPROXIMATION THEORY, 1989, 56 (03) :241-244

[4] A NOTE ON FIXED-POINT THEOREMS [J].

HICKS, TL ;

HUMPHRIES, MD .

JOURNAL OF APPROXIMATION THEORY, 1982, 34 (03) :221-225

[5] COMMUTING MAPPINGS AND FIXED-POINTS [J].

JUNGCK, G .

AMERICAN MATHEMATICAL MONTHLY, 1976, 83 (04) :261-263

[6] A RESULT IN BEST APPROXIMATION-THEORY [J].

SAHAB, SA ;

KHAN, MS ;

SESSA, S .

JOURNAL OF APPROXIMATION THEORY, 1988, 55 (03) :349-351

[7]

SAHAB SA, 1987, U NOVONI SADU ZB P M, V17, P143

[8] APPLICATION OF A FIXED-POINT THEOREM TO APPROXIMATION THEORY [J].

SINGH, SP .

JOURNAL OF APPROXIMATION THEORY, 1979, 25 (01) :89-90

[9]

SINGH SP, 1979, APPL NONLINEAR ANAL, P389

[10]

Smoluk A., 1981, Mat. Stosow., V17, P17

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