East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
권호 표지
DOI QR코드

DOI QR Code

FIXED POINTS AND COMMON FIXED POINTS THEOREMS IN CONE METRC-LIKE SPACES

  • Received : 2021.01.06
  • Accepted : 2021.01.22
  • Published : 2021.01.31
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we introduce the new concept of a cone metric-like space and consider some fixed point theorems for generalized contractive mappings under suitable conditions in cone metric-like spaces. Our results generalize and unify the several main results of [1, 2, 9].

Keywords

References

  1. A. Amini-Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl. (2012), 2012:204, 10pp.
  2. S. H. Kim and B. S. Lee, Generalized fixed point theorems in cone metric spaces, Korean J. Math. 20 (2012), no. 3, 353-360. https://doi.org/10.11568/kjm.2012.20.3.353
  3. L. G. Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007), 1468-1476. https://doi.org/10.1016/j.jmaa.2005.03.087
  4. I. Altun, B. Damjanovic and D. Djoric, Fixed point and common fixed point theorems on ordered cone metric spaces, Appl. Math. Lett. 23 (2010), 310-316. https://doi.org/10.1016/j.aml.2009.09.016
  5. D. Ilic and V. Rakocevic, Quasi-contraction on a cone metric space, Appl. Math. Lett. 22 (2009), 728-731. https://doi.org/10.1016/j.aml.2008.08.011
  6. B. C. Choudhury and N. Metiya, Fixed points of weak contractions in cone metric spaces, Nonlinear Anal. 72 (2010), 1589-1593. https://doi.org/10.1016/j.na.2009.08.040
  7. M. Aamri and D. E. Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002), 181-188. https://doi.org/10.1016/S0022-247X(02)00059-8
  8. R. P. Pant, Fixed points of nonexpansive mappings and a generalized notion of compactness, Bull. Cal. Math. Soc. 99 (2007), no. 1, 45-52.
  9. M. Abbas and G. Jungck, Common fixed point results for noncommuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl. 341 (2008), 416-420. https://doi.org/10.1016/j.jmaa.2007.09.070