Browse > Article
http://dx.doi.org/10.14317/jami.2012.30.5_6.1067

COMMON FIXED POINT THEOREMS FOR MAPPINGS ON CONE METRIC SPACES  

Kim, Jeong-Jin (Department of Mathematics, Moyngji University)
Bae, Jong-Sook (Department of Mathematics, Moyngji University)
Cho, Seong-Hoon (Department of Mathematics, Hanseo University)
Publication Information
Journal of applied mathematics & informatics / v.30, no.5_6, 2012 , pp. 1067-1075 More about this Journal
Abstract
In this paper we generalize the results of Ili$\acute{c}$ and Rako$\check{c}$evi$\acute{c}$. Also, we generalize one of Berinde's results to cone metric spaces. And we introduce the notion of compatible mappings of type (BC), and we establish a common fixed point theorem for these mappings.
Keywords
Quasicontrations; Compatible mappings; Weakly compatible mappings; Compatible mappings of type (BC); Fixed points; Cone metric spaces;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Sh. Rezapour, R. Hamlbarani, Some notes on the paper "Cone metric spaces and fixed point theorems of contractive mappings", J. Math. Anal. Appl. 345 (2008), 719-724.   DOI
2 V. Berinde, A common fixed point theorem for compatible quasi contractive self mappings in metric spaces, Applied Mathematics and Computation 213(2009), 348-354.   DOI
3 V. Berinde, A common fixed point theorem for quasi contractive type mappings, Ann. Univ. Sci. Budapest 46(2003), 81-90.
4 Lj. B. CiriC, A generalization of Banach's contraction principle, Proc. Amer. Math. Soc. 45(1974), 267-273.
5 K. M. Das, K. V. Naik, Common fixed point theorems for commuting maps on metric spaces, Proc. Amer. Math. Soc. 77(1979), 369-373.
6 L. G. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332(2)(2007), 1468-1476.   DOI
7 R. Kannan, Some results on fixed points, Bull. Clcultta Math. Soc, 60(1968), 71-76.
8 D. Ilic, V. Rakocevic, Common fixed points for maps on cone metric spaces, J. Math. Anal. Appl. 341(2008), 876-882.   DOI
9 D. Ilic, V. Rakocevic, Quasi-contraction on a cone metric space, Appied Math. Letters 22(2009), 728-731.   DOI
10 G. Jungck, Commuting maps and fixed points, Amer. Math Monthly 83(1976), 261-263.   DOI
11 G. Jungck, Common fixed points for noncontinuous nonself maps on non-metric spaces, Far East J. Math. Sci. 4(1996), 199-215.
12 H. K. Pathak, Fixed point theorems for weakly compatible multi-valued and single-valued mappings, Acta Math. Hungar. 67(1-2)(1995), 69-78.   DOI