Kyungpook Mathematical Journal

  • 제55권4호
  • /
  • Pages.773-777
  • /
  • 2015
  • /
  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지
DOI QR코드

DOI QR Code

A Fixed Point on Generalised Cone Metric Spaces

  • 투고 : 2013.09.13
  • 심사 : 2014.04.11
  • 발행 : 2015.12.23
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

The aim of this paper is to prove a fixed point theorem on a generalised cone metric spaces for maps satisfying general contractive type conditions.

키워드

참고문헌

  1. A. Branciari, A fixed point theorem of Banach-Caccioppoli type on a class of generalised metric spaces, Publ. Math. Debrecen, 57(2000), 31-37.
  2. D. W. Boyd and J. S. W. Wong, On nonlinear contraction, Proc. Amer. Math. Soc., 20(1996), 458-464.
  3. L. J. B. Ciric, A generalization of Banach's contraction principle, Proc. Amer. Math. Soc., 45(1974), 267-273.
  4. P. Das, A fixed point theorem on a class of generalized metric spaces, Korean J. Math. Sci., 9(2002), 29-33.
  5. P. Das and L. K. Dey, Fixed point of contractive mappings in generalized metric spaces, Math. Slovaca, 59(4)(2009), 499-504. https://doi.org/10.2478/s12175-009-0143-2
  6. M. Edelstein, On fixed point and periodic points under contraction mappings, J. London Math. Soc., 37(2)(1962), 74-79.
  7. D. Ilic and V. Rakocevic, Common fixed points for maps on cone metric space, J. Math. Anal. Appl., 341(2008), 876-882. https://doi.org/10.1016/j.jmaa.2007.10.065
  8. B. K. Lahiri and P. Das, Fixed point of a Ljubomir  Ciric's quasi-contraction mapping in a generalized metric space, Publ. Math. Debrecen 61(2002), 589-594.
  9. H. Long-Guang and Z. Xian, Cone metric spaces and fixed point theorems of contractive mapping, J. Math. Anal. Appl. 322(2007), 1468-1476.
  10. J. O. Olaeru and H. Akewe, An extension of Gregus fixed point theorem, Fixed Point Theory Appl., (2007), Article ID 657914.
  11. E. Rakotch, A note on contractive mappings, Proc. Amer. Math. Soc. 13(1962), 459-465. https://doi.org/10.1090/S0002-9939-1962-0148046-1
  12. S. Reich and A. J. Zaslavski, Almost all non-expansive mappings are contractive, C. R. Math. Acad. Sci. Soc. R. Can., 22(2000), 118-124.
  13. S. Reich and A. J. Zaslavski, The set of non contractive mappings is ${\sigma}$-porous in the space of all non-expansive mappings, C. R. Math. Acad. Sci. Paris, 333(2001), 539-544. https://doi.org/10.1016/S0764-4442(01)02087-0