Research Article

Some Common Coincidence Point Theorems on Weakly Increasing Mappings in Partially Ordered Cone Metric Spaces

Volume: 25 Number: 1 January 24, 2012
EN

Some Common Coincidence Point Theorems on Weakly Increasing Mappings in Partially Ordered Cone Metric Spaces

Abstract

We study some common coincidence and common fixed point theorems for weakly increasing mappings with respect to a self maps on partially ordered cone metric spaces, where the cone is not necessarily normal. Our results generalized several well-known comparable results in the literature.

Keywords

References

  1. Abbas, M., Rhodes, B.E., “Fixed and periodic point results in cone metric spaces”, Appl. Math. Lett., 22: 511-515 (2008).
  2. Agarwal, R.P., El-Gebeily, M.A., O’Regan, D., “Generalized contractions in partially orderd metric spaces”, Appl. Anal., 87 (1): 109- 116(2008).
  3. Altun, I., Durmaz, G., “Some fixed point theorems on ordered cone metric spaces”, Rend. Circ. Mat. Palermo, 58:319-325(2009).
  4. Altun, I., Damjanović, B., Djorić, D., “Fixed point and common fixed point theorems on ordered cone metric spaces”, Applied Mathematics Letters, 23: 310-316 (2010).
  5. Ćirić, Lj., Cakić, A.N., Rajović, M., Ume, J.S., “Monotone generalized nonlinear contractions in partially metric spaces”, Fixed Point Theory Appl., 11 Article ID 131294(2008).
  6. Haung, L.G., Zhang, X., “Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl., 332: 1468-1476(2007).
  7. Janković, S. Golubović, Z., Radenović, S., “Compatible and weakly compatible mappings in cone metric spaces”, Mathematical and Computer Modelling, 52: 1728-1738(2010).
  8. Jungck, G., “Compatible mappings and common fixed points”, Int. J. Math. Math. Sci., 771-779 (1986).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

January 24, 2012

Submission Date

March 6, 2011

Acceptance Date

-

Published in Issue

Year 2012 Volume: 25 Number: 1

APA
Shatanawı, W. (2012). Some Common Coincidence Point Theorems on Weakly Increasing Mappings in Partially Ordered Cone Metric Spaces. Gazi University Journal of Science, 25(1), 89-96. https://izlik.org/JA66WS37AW
AMA
1.Shatanawı W. Some Common Coincidence Point Theorems on Weakly Increasing Mappings in Partially Ordered Cone Metric Spaces. Gazi University Journal of Science. 2012;25(1):89-96. https://izlik.org/JA66WS37AW
Chicago
Shatanawı, Wasfi. 2012. “Some Common Coincidence Point Theorems on Weakly Increasing Mappings in Partially Ordered Cone Metric Spaces”. Gazi University Journal of Science 25 (1): 89-96. https://izlik.org/JA66WS37AW.
EndNote
Shatanawı W (January 1, 2012) Some Common Coincidence Point Theorems on Weakly Increasing Mappings in Partially Ordered Cone Metric Spaces. Gazi University Journal of Science 25 1 89–96.
IEEE
[1]W. Shatanawı, “Some Common Coincidence Point Theorems on Weakly Increasing Mappings in Partially Ordered Cone Metric Spaces”, Gazi University Journal of Science, vol. 25, no. 1, pp. 89–96, Jan. 2012, [Online]. Available: https://izlik.org/JA66WS37AW
ISNAD
Shatanawı, Wasfi. “Some Common Coincidence Point Theorems on Weakly Increasing Mappings in Partially Ordered Cone Metric Spaces”. Gazi University Journal of Science 25/1 (January 1, 2012): 89-96. https://izlik.org/JA66WS37AW.
JAMA
1.Shatanawı W. Some Common Coincidence Point Theorems on Weakly Increasing Mappings in Partially Ordered Cone Metric Spaces. Gazi University Journal of Science. 2012;25:89–96.
MLA
Shatanawı, Wasfi. “Some Common Coincidence Point Theorems on Weakly Increasing Mappings in Partially Ordered Cone Metric Spaces”. Gazi University Journal of Science, vol. 25, no. 1, Jan. 2012, pp. 89-96, https://izlik.org/JA66WS37AW.
Vancouver
1.Wasfi Shatanawı. Some Common Coincidence Point Theorems on Weakly Increasing Mappings in Partially Ordered Cone Metric Spaces. Gazi University Journal of Science [Internet]. 2012 Jan. 1;25(1):89-96. Available from: https://izlik.org/JA66WS37AW