Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition

被引:86
作者
Beg, Ismat [1 ]
Abbas, Mujahid
机构
[1] Lahore Univ Management Sci, Dept Math, Lahore 54792, Pakistan
[2] Lahore Univ Management Sci, Ctr Adv Studies Math, Lahore 54792, Pakistan
关键词
D O I
10.1155/FPTA/2006/74503
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove the existence of coincidence point and common fixed point for mappings satisfying generalized weak contractive condition. As an application, related results on invariant approximation are derived. Our results generalize various known results in the literature. Copyright (C) 2006 I. Beg and M. Abbas.
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页数:7
相关论文
共 18 条
[1]   Common fixed point theorems for weakly compatible mappings [J].
Ahmed, MA .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2003, 33 (04) :1189-1203
[2]  
Alber Y. I., 1997, Oper. Theory Adv. Appl., V98, P7
[3]  
Beg I, 1996, DISCUSS MATH DIFFER, V16, P121
[4]  
Beg I., 2006, DEMONSTR MATH, V39, P149, DOI DOI 10.1515/DEMA-2006-0119
[5]  
Beg I, 2005, ARCH MATH-BRNO, V41, P389
[6]  
BROSOWSKI B, 1969, MATH CLUJ, V11, P195
[7]   Common fixed-point results in best approximation theory [J].
Hussain, N ;
Khan, AR .
APPLIED MATHEMATICS LETTERS, 2003, 16 (04) :575-580
[9]  
Jungck G, 1998, INDIAN J PURE AP MAT, V29, P227
[10]   Coincidence and fixed points for hybrid strict contractions [J].
Kamran, T .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 299 (01) :235-241