SOME RESULTS ON COMMON FIXED POINTS AND BEST APPROXIMATION

被引:12
作者
Khan, Abdul Rahim [1 ]
Latif, Abdul [2 ]
Bano, Arjamand [3 ]
Hussain, Nawab [2 ]
机构
[1] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia
[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[3] Gomal Univ, Dept Math, Dera Ismail Khan, Pakistan
来源
TAMKANG JOURNAL OF MATHEMATICS | 2005年 / 36卷 / 01期
关键词
p-normed space; best approximation; common fixed point; commuting maps; property of contractiveness and joint continuity;
D O I
10.5556/j.tkjm.36.2005.132
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a common fixed point result for (f, g)-nonexpansive maps and then derive certain results on best approximation. Our results generalize the results of Al-Thagafi [1], Jungck and Sessa [6], Khan, Hussain and Thaheem [8], Latif [9, 10] and Sahab, Khan and Sessa [12].
引用
收藏
页码:33 / 38
页数:6
相关论文
共 13 条
[1]   Common fixed points and best approximation [J].
AlThagafi, MA .
JOURNAL OF APPROXIMATION THEORY, 1996, 85 (03) :318-323
[2]  
Brosowski B., 1969, MATH CLUJ, V11, P195
[3]   FIXED-POINTS OF NONEXPANSIVE MAPPINGS IN NONCONVEX SETS [J].
DOTSON, WG .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 38 (01) :155-156
[4]   FIXED-POINT THEOREMS AND INVARIANT APPROXIMATIONS [J].
HABINIAK, L .
JOURNAL OF APPROXIMATION THEORY, 1989, 56 (03) :241-244
[5]   A NOTE ON FIXED-POINT THEOREMS [J].
HICKS, TL ;
HUMPHRIES, MD .
JOURNAL OF APPROXIMATION THEORY, 1982, 34 (03) :221-225
[6]  
Jungck G., 1995, MATH JPN, V42, P249
[7]  
Kaneko H., 1985, B UNIONE MAT ITAL, V6, P29
[8]  
Khan A.R., 2000, APPROX THEORY APPL, V16, P48
[9]  
Latif A., 2001, ARCH MATH, V37, P71
[10]  
Latif A., 2001, TAMKANG J MATH, V32, P1