Completion of Cone Metric Spaces

Year 2010, Volume: 39 Issue: 1, 67 - 74, 01.01.2010

Thabet Abdeljawad

Keywords

-

References

• Abbas, M. and Rhoades, B. E. Fixed and periodic point results in cone metric spaces, Ap- plied Mathematics Letters 22 (4), 511–515, 2009.
• Abramovich, Y. A. and Aliprantis, C. D. An invitation to Operator Theory (American Math- ematical Society, 2002).
• Aliprantis, C. D. and Tourky, R. Cones and Duality (American Mathematical Society, 2007). [4] Altun, ˙I. and Durmaz, G. Some fixed point theorems on ordered cone metric spaces, Rendi- conti del Circolo Mathematico di Palermo 58, 319–325, 2009.
• Deimling, K. Nonlinear Functional Analysis (Springer-Verlage, 1985).
• Huang, L.-G. and Zhang, X. Cone metric spaces and fixed point theorems of contractive mappings, Journal of Mathematical Analysis and Applications 323, 1468–1476, 2007.
• Ili¸c, D. and Rakocevic, V. Quasi-contraction on a cone metric space, Applied Mathematics Letters 22, 728–731, 2009.
• Ili¸c, D. and Rakocevic, V. Common fixed points for maps on cone metric space, Journal of Mathematical Analysis and Applications 341, 876–882, 2008.
• Radenovi`c, S. and Rhoades, B. E. Fixed point theorem for two non-self mappings in cone metric spaces, Computers and Mathematics with Applications 57 (10), 1701–1707, 2009.
• Rezapour, Sh. and Hamlbarani Haghi, R. Some notes on the paper “Cone metric spaces and fixed point theorems of contractive mappings”Journal of Mathematical Analysis and Applications 345, 719–724, 2008.
• Rezapour, Sh. and Hamlbarani Haghi, R. Fixed points of multifunctions on regular cone metric spaces, Expositiones Mathematicae 28 (1), 71–77, 2010.
• S¸ahin, ˙I. and Telci, M. Fixed points on contractive mappings on complete cone metric spaces, Hacettepe J. Math. Stat. 38 (1), 59–67, 2009.
• Turkoglu, D. and Abuloha, M. Cone metric spaces and fixed point theorems in diametrically contractive mappings, Acta Mathematica Sinica (English Series) 26 (3), 489–496, 2010.
• Turkoglu, D., Abuloha, M. and Abdeljawad, T. KKM mappings in cone metric spaces and some fixed point theorems, Nonlinear Analysis: Theory, Methods & Applications 72 (1), 348–353, 2010.
• Wardowski, D. Endpoints and fixed points of set-valued contractions in cone metric spaces, Nonlinear Analysis, Theory, Methods and Applications 71, 512–516, 2009.