SOME FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS SATISFYING AN IMPLICIT RELATION

被引：41
作者：
Altun, Ishak [1 ]
Turkoglu, Duran [2 ]
机构：
[1] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey
[2] Gazi Univ, Fac Sci & Arts, Dept Math, TR-06500 Ankara, Turkey
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2009年 / 13卷 / 04期
关键词：
Fixed point; Weakly compatible mapping; Contractive condition of integral type; Implicit relation; MAPS;
D O I：
10.11650/twjm/1500405509
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove a common fixed point theorem for weakly compatible mappings satisfying an implicit relation. Our theorem generalizes many fixed point theorems.
引用
收藏
页码：1291 / 1304
页数：14
相关论文
共 31 条
[1]   Common fixed point theorems for weakly compatible mappings [J].
Ahmed, MA .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2003, 33 (04) :1189-1203
[2]   A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type [J].
Aliouche, A. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 322 (02) :796-802
[3]  
Altun I., 2006, Mathematical Communications, V11, P17
[4]   Fixed points of weakly compatible maps satisfying a general contractive condition of integral type [J].
Altun, Ishak ;
Turkoglu, Duran ;
Rhoades, Billy E. .
FIXED POINT THEORY AND APPLICATIONS, 2007, 2007 (1)
[5]  
Branciari A., 2002, Int J Math Math Sci, V29, P531, DOI [10.1155/S0161171202007524, DOI 10.1155/S0161171202007524]
[6]   Common fixed points for weakly compatible maps [J].
Chugh, R ;
Kumar, S .
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2001, 111 (02) :241-247
[7]   Some common fixed point theorems for weakly compatible mappings [J].
Ciric, LB ;
Ume, JS .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (02) :488-499
[8]  
Imdad M., 2002, RAD MATH, V11, P135
[9]  
JEONG GS, 1997, INDIAN J PURE APPL M, V28, P1176
[10]  
Jungck G, 1998, INDIAN J PURE AP MAT, V29, P227
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