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On a Fixed Point Theorem for Mappings Satisfying a Contractive Condition of Rational Type on a Partially Ordered S-Metric Space

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Abstract:

In this paper we prove a fixed point theorem for mapping satisfying a contractive condition of rational type in partially ordered S-metric space. Our result generalize some existing results in the literature into settings of S-metric space.

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Periodical:
International Journal of Advanced Research in Mathematics (Volume 4)
Pages:
8-13
Citation:
M. Sani Mashina, "On a Fixed Point Theorem for Mappings Satisfying a Contractive Condition of Rational Type on a Partially Ordered S-Metric Space", International Journal of Advanced Research in Mathematics, Vol. 4, pp. 8-13, 2016
Online since:
February 2016
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[1] R. P. Agarwal, M. A. El-Gebeily, and D. O'Regan, Generalized contractions in partially ordered metric spaces, Applicable Analysis, 87(1) (2008), 109–116.

[2] D. Ariza-Ruiz, A. Jimnez-Melado, A continuation method for weakly contractive mappings under the interior condtions. Fixed Point Theory Appl. 2009 (2009) Article ID 809315.

[3] T.G. Bhaskar and V. Lakshmikantham, Fixed point theorems in partially ordered metrispaces and applications, Nonlinear Anal., 65(2006), 1379-1393.

[4] V. Berinde and M. Borcut, Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal., 74(15) (2011), 4889-4897.

[5] S. K., Chatterjea, Fixed point theorems, C. R. Acad. Bulgare Sci., 25 (1972) 727 – 730.

[6] B. C. Dhage, A study of some fixed point theorems, Ph.D. Thesis, Marathwada Univ. Aurangabad, India (1984).

[7] S. Gähler, 2-metriche raume und ihre toplogische strukture. Maths. Nachr. , 26 (1963) 115-148.

[8] J. Harjani, B. Lopéz and K. Sadarangani, A fixed point theorems for mappings satisfying a contractive condition of rational type on a partially ordered metric spaces, Abstract and Applied Analysis, (2010), Article ID 190701.

[9] J. Harjani and K. Sadarangani, Fixed point theorems for weakly contractive mappings in partially ordered sets, Nonlinear Analysis: Theory, Methods & Applications, 71(7) (2009), 3403–3410.

[10] D. S. Jaggi, Some unique fixed point theorems, Indian Journal of Pure and Applied Mathematics, vol. 8, no. 2, p.223–230, (1977).

[11] V. Lakshmikantham and L. Ciric, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal., 70(2009), 4341-4349.

[12] Z. Mustafa and B. Sims, A new approach to generalize metric space, J. Roy. nonlinear convex anal. 7(2006) 289 – 297.

[13] Z. Mustafa, H. Obiedat and F. Awawdeh, Some common fixed point theorems for mapping on complete G-metric space, Fixed Point Theory Appl. 2008 (2008) Article ID 189870.

[14] J.J. Nieto and R.R. Lopez, Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations, Acta Mats. Sinica (Engl. Ser. ), 23(12) (2007), 2205-2212.

[15] A.C.M. Ran and M.C.B. Reurings, A fixed point theorem in partially ordered sets and some applications to metric equations, Proc. Amer. Math. Soc., 132(2004), 1435-1443.

[16] S. Sedghi, N. Shobe and H. Zhou, A common fixed point theorem in D*-metric space, Fixed Point Theory Appl. 2007 (2007) Article ID 027906.

[17] S. Sedghi, N. Shobe and A. Aliouche, A generalization of fixed point theorem in S-metric space, Mat. Vesinik. 64(3), (2012) 258 -266.

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