Coupled Fixed Point Results in Partially Ordered Complete Metric Space

Savitri; Nawneet Hooda

doi:https://doi.org/10.14445/22315373/IJMTT-V9P520

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 9 | Number 2 | Year 2014 | Article Id. IJMTT-V9P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V9P520

Coupled Fixed Point Results in Partially Ordered Complete Metric Space

Savitri , Nawneet Hooda

Abstract

In this paper we prove some coupled fixed point results in partially ordered complete metric space.

Keywords

Partially ordered set, Cauchy sequence, coupled fixed point, complete metric space, control function

References

[1] A. C. M. Ran and M. C. B. Reurings, A fixed point theorem in partially ordered sets and some applications to metric equation, Proc. Amer. Math., 132 (2004), 1435-1443.
[2] B. S. Choudhury, A common unique fixed point result in Metric Spaces involving generalised Altering distances, Math. Common., 10 (2005), 105-110.
[3] B. S. Choudhury and K. Das, A coincidence point result in menger spaces using a control function, Chaos Soliton Fract., 42 (2009), 3058-3063.
[4] B. S. Choudhury and P. N. Dutta, common fixed point for fuzzy mappings, using generalized Altering distances, Soochow J. Math., 31 (1) (2005), 71-81.
[5] D. Doric, Common fixed point for generalized -weak contractions, Appl. Math. Lett., 22 (2009), 1896-1900.
[6] D. Guo and V. Lakshmi, Coupled fixed points of nonlinear operators with applications, Nonlinear Anal., 11 (1987), 623-632.
[7] D. Mihot, Altering distances in probabilistic menger spaces, Nonlinear Anal., 71 (2009), 2734-2738.
[8] D. O’Regan and Petrusel, Fixed point theorems for generalized contractions in ordered metric spaces, J. Math. Anal. Appl., 341 (2008), 1241-1252.
[9] J. J. Nieto and R. R. Lopez, Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations, Acta Math. Sinica, Engl. Ser. 23 (12) (2007), 2205-2212.
[10] K. P. R. Sastry and G. V. R. Babu, Some fixed point theorems by Altering distances between the points, Int. J. Pure Appl. Math., 30 (6) (1999), 641-647.
[11] M. S. Khan, M. Swaleh and S. Sessa, Fixed points theorems by altering distances between the points, Bull. Austral Math. Soc., 30 (1984), 1-9.
[12] R. P. Agarwal, M. A. El-Gebiely and D. O.’Regan, Generalized contractions in partially ordered metric spaces, Appl. Anal., 87 (2008), 1-8.
[13] S. Binayak Choudhury and N. Metiya, Multivalued and single valued fixed point results in partially ordered metric spaces, Arab Journal of Mathematical Sciences, 17 (2011), 135-151.
[14] S. V. R. Naidu, Some fixed point theorems in metric spaces by Altering distances, Czechslovak Math. J., 53 (1) (2003), 205-212.
[15] T. Ganana Bhaskar and V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal., 65 (2006). 1379-1393.
[16] V. Lakshmikantham and L. Ciric, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Non linear Anal., 70 (2009), 4341-4349.

Citation :

Savitri , Nawneet Hooda, "Coupled Fixed Point Results in Partially Ordered Complete Metric Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 9, no. 2, pp. 165-172, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V9P520