COMMON FIXED POINT THEOREM OF ALTMAN INTEGRAL TYPE MAPPINGS

Volume 2, Issue 4, pp 214-218 http://dx.doi.org/10.22436/jnsa.002.04.02

Download PDF

Download XML

• Export citations
  • CITATIONS & REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • ARTICLE CITATION
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)

• 1962 Downloads
• 2737 Views

Authors

YAQIONG LI - Institute of Applied Mathematics and Department of Mathematics,Hangzhou Normal University, Hangzhou, Zhejiang 310036, China. FENG GU - Institute of Applied Mathematics and Department of Mathematics,Hangzhou Normal University, Hangzhou, Zhejiang 310036, China.

Abstract

In this paper, by virtue of some analysis techniques, we prove a new common fixed point theorem of Altman type for four mappings satisfying a contractive condition of integral type in complete metric spaces, which improves and extends several previous results obtained by others.

Share and Cite

Keywords

• Altman type mapping
• Common fixed point
• Compatible mappings
• Contractive condition of integral type.

MSC

•  47H10
•  54H25

References

• [1] A. Aliouche, Common fixed point theorems for hybrid mappings satisfying generalized contractive conditions, J. Nonlinear Sci. Appl., 2 (2009), 136-145
  • MathSciNet
  • Google Scholar


• [2] M. Altman, A fixed point theorem in compact metric spaces, Amer. Math. Monthly, 82 (1975), 827-829


• [3] J. Chen, F. Gu, The common fixed point theorems satisfying a contractive condition of integral type, Natural Science Edition, Journal of Hangzhou Normal University, 7 (2008), 338-344


• [4] A. Garbone, S. P. Singh, Common fixed point theorem for Altman type mappings, Indian J. Pure Appl. Math., 18 (1987), 1082-1087


• [5] F. Gu, B. Deng, Common fixed point for Altman type mappings, Natural Science Edition, Journal of Harbin Normal University, 17 (2001), 44-46
  • MathSciNet
  • Google Scholar


• [6] G. Jungck, Compatible mappings and common fixed points, Internat J. Math. Math. Sci., 9 (1986), 771-779
  • View Article
  • Google Scholar


• [7] Z. Liu, On common fixed points of Altman type mappings, Natural Science Edition, Journal of Liaoning University, 16 (1993), 1-4


• [8] R. P. Pant, Common fixed points of noncommuting mapping, J. Math. Anal. Appl., 188 (1994), 436-440
  • View Article
  • Google Scholar


• [9] S. Sessa, On a weak commutitivity condition of mappings in fixed point considerations, Publ. Inst. Math., 32 (1982), 149-153
  • Google Scholar