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Fixed Points of Contractive Mappings on Complete Cone Metric Spaces

Year 2009, Volume: 38 Issue: 1, 59 - 67, 01.01.2009

References

  • Di Bari, C. and Vetro P. ϕ- pairs and common fixed points in cone metric spaces, Rend. Circ. Mat. Palermo 57, 279–285, 2008.
  • 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.
  • Hicks, T. L. and Rhoades, B. E. Fixed point theory in symmetric spaces with applications to probabilistic spaces, Nonlinear Anal. 36, 331–344, 1999.
  • Iseki, K. Fixed point theorems in 2-metric spaces, Math. Sem. Notes, Kobe Univ. 3, 133–136, 1975.
  • Jachymski, J., Matkowski, J. and Swiatkowski, T. Nonlinear contractions on semimetric spaces, J. Appl. Anal. 1, 125–134, 1995.
  • Kada, O., Suzuki, T. and Takahashi, W. Nonconvex minimization theorems and fixed point theorems in complete metric spaces, Math. Japon. 44, 381–391, 1996.
  • Nadler, S. B. Multivalued contraction mappings, Pacific J. Math. 30, 475–488, 1969.
  • Reilly, I. L., Subrahmanyam, P. V. and Vamanamurthy, M. K. Cauchy sequences in quasi- pseudo-metric spaces, Monatsh. Math. 93, 127–140, 1982.
  • 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.
  • 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.
  • Zeidler, E. Nonlinear Functional Analysis and its Applications, Volume I, Fixed Point Theorems(Springer-Verlag, 1993).

Fixed Points of Contractive Mappings on Complete Cone Metric Spaces

Year 2009, Volume: 38 Issue: 1, 59 - 67, 01.01.2009

References

  • Di Bari, C. and Vetro P. ϕ- pairs and common fixed points in cone metric spaces, Rend. Circ. Mat. Palermo 57, 279–285, 2008.
  • 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.
  • Hicks, T. L. and Rhoades, B. E. Fixed point theory in symmetric spaces with applications to probabilistic spaces, Nonlinear Anal. 36, 331–344, 1999.
  • Iseki, K. Fixed point theorems in 2-metric spaces, Math. Sem. Notes, Kobe Univ. 3, 133–136, 1975.
  • Jachymski, J., Matkowski, J. and Swiatkowski, T. Nonlinear contractions on semimetric spaces, J. Appl. Anal. 1, 125–134, 1995.
  • Kada, O., Suzuki, T. and Takahashi, W. Nonconvex minimization theorems and fixed point theorems in complete metric spaces, Math. Japon. 44, 381–391, 1996.
  • Nadler, S. B. Multivalued contraction mappings, Pacific J. Math. 30, 475–488, 1969.
  • Reilly, I. L., Subrahmanyam, P. V. and Vamanamurthy, M. K. Cauchy sequences in quasi- pseudo-metric spaces, Monatsh. Math. 93, 127–140, 1982.
  • 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.
  • 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.
  • Zeidler, E. Nonlinear Functional Analysis and its Applications, Volume I, Fixed Point Theorems(Springer-Verlag, 1993).
There are 11 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

İ. Şahin This is me

M. Telci This is me

Publication Date January 1, 2009
Published in Issue Year 2009 Volume: 38 Issue: 1

Cite

APA Şahin, İ., & Telci, M. (2009). Fixed Points of Contractive Mappings on Complete Cone Metric Spaces. Hacettepe Journal of Mathematics and Statistics, 38(1), 59-67.
AMA Şahin İ, Telci M. Fixed Points of Contractive Mappings on Complete Cone Metric Spaces. Hacettepe Journal of Mathematics and Statistics. January 2009;38(1):59-67.
Chicago Şahin, İ., and M. Telci. “Fixed Points of Contractive Mappings on Complete Cone Metric Spaces”. Hacettepe Journal of Mathematics and Statistics 38, no. 1 (January 2009): 59-67.
EndNote Şahin İ, Telci M (January 1, 2009) Fixed Points of Contractive Mappings on Complete Cone Metric Spaces. Hacettepe Journal of Mathematics and Statistics 38 1 59–67.
IEEE İ. Şahin and M. Telci, “Fixed Points of Contractive Mappings on Complete Cone Metric Spaces”, Hacettepe Journal of Mathematics and Statistics, vol. 38, no. 1, pp. 59–67, 2009.
ISNAD Şahin, İ. - Telci, M. “Fixed Points of Contractive Mappings on Complete Cone Metric Spaces”. Hacettepe Journal of Mathematics and Statistics 38/1 (January 2009), 59-67.
JAMA Şahin İ, Telci M. Fixed Points of Contractive Mappings on Complete Cone Metric Spaces. Hacettepe Journal of Mathematics and Statistics. 2009;38:59–67.
MLA Şahin, İ. and M. Telci. “Fixed Points of Contractive Mappings on Complete Cone Metric Spaces”. Hacettepe Journal of Mathematics and Statistics, vol. 38, no. 1, 2009, pp. 59-67.
Vancouver Şahin İ, Telci M. Fixed Points of Contractive Mappings on Complete Cone Metric Spaces. Hacettepe Journal of Mathematics and Statistics. 2009;38(1):59-67.