Journals / Hacettepe Journal of Mathematics and Statistics / 2009 / Cilt: 38 - Sayı: 1

Fixed Points of Contractive Mappings on Complete Cone Metric Spaces

Pages
59–67
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
🔖

Cite This Article

TELCİ, M., ŞAHİN, İ. (2022). Fixed Points of Contractive Mappings on Complete Cone Metric Spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 38 - Sayı: 1, 59–67. https://ajindex.com/articles/530677

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (11)

  1. Di Bari, C. and Vetro P. ϕ- pairs and common fixed points in cone metric spaces, Rend. Circ. Mat. Palermo 57, 279–285, 2008.
  2. Grabiec, M. Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems 27, 385–389, 1988. [3] Huang Long-Guang and Zhang Xian. Cone metric spaces and fixed point theorems of con- tractive mappings, J. Math. Anal. Appl. 332, 1468–1476, 2007.
  3. Hicks, T. L. and Rhoades, B. E. Fixed point theory in symmetric spaces with applications to probabilistic spaces, Nonlinear Anal. 36, 331–344, 1999.
  4. Iseki, K. Fixed point theorems in 2-metric spaces, Math. Sem. Notes, Kobe Univ. 3, 133–136, 1975.
  5. Jachymski, J., Matkowski, J. and Swiatkowski, T. Nonlinear contractions on semimetric spaces, J. Appl. Anal. 1, 125–134, 1995.
  6. Kada, O., Suzuki, T. and Takahashi, W. Nonconvex minimization theorems and fixed point theorems in complete metric spaces, Math. Japon. 44, 381–391, 1996.
  7. Nadler, S. B. Multivalued contraction mappings, Pacific J. Math. 30, 475–488, 1969.
  8. Reilly, I. L., Subrahmanyam, P. V. and Vamanamurthy, M. K. Cauchy sequences in quasi- pseudo-metric spaces, Monatsh. Math. 93, 127–140, 1982.
  9. Rezapour, Sh. and Hamlbarani, R. Some notes on the paper ”Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl. 345, 719–724, 2008.
  10. Sehgal, V. M. and Bharucha-Reid, A. T. Fixed points of contraction mappings on probabilis- tic metric spaces, Math. Systems Theory 6, 97–102, 1972.
  11. Zeidler, E. Nonlinear Functional Analysis and its Applications, Volume I, Fixed Point Theorems(Springer-Verlag, 1993).