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http://dx.doi.org/10.14317/jami.2013.643

COUPLED COMMON FIXED POINT THEOREMS FOR A CONTRACTIVE CONDITION OF RATIONAL TYPE IN ORDERED METRIC SPACES  

Chandok, Sumit (Department of Mathematics, Khalsa College of Engineering & Technology (Punjab Tech nical University))
Publication Information
Journal of applied mathematics & informatics / v.31, no.5_6, 2013 , pp. 643-649 More about this Journal
Abstract
The purpose of this paper is to establish some coupled coincidence point theorems for a pair of mappings having a strict mixed g-monotone property satisfying a contractive condition of rational type in the framework of partially ordered metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend several well-known results in the literature.
Keywords
Coupled fixed point; strict mixed g-monotone property; Ordered metric spaces;
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1 D. S. Jaggi, Some unique fixed point theorems, Indian J. Pure Appl. Math. 8(1977), 223230.
2 V. Lakshmikantham and L. Ciric, Coupled fixed point theorems for nonlinear contractions in partially orderd metric spaces, Nonlinear Anl. 70(2009), 4341-4349.   DOI   ScienceOn
3 J. J. Nieto and R. R. Lopez, Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations, Order 22(2005), 223-239.   DOI   ScienceOn
4 A. C. M. Ran and M. C. B. Reurings, A fixed point theorem in partially ordered sets and some applications to matrix equations, Proc. Amer. Math. Soc. 132(5)(2004), 1435-1443.   DOI   ScienceOn
5 B. Samet, Coupled fixed point theorems for a generalized Meir-Keeler Contraction in partially ordered metric spaces, Nonlinear Anal. 72(2010), 4508-4517.   DOI   ScienceOn
6 R. P. Agarwal, M. A. El-Gebeily and D. O'Regan, Generalized contractions in partially ordered metric spaces, Appl. Anal. 87 (2008), 1-8.   DOI   ScienceOn
7 T. G. Bhaskar and V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65(2006), 1379-1393.   DOI   ScienceOn
8 S. Chandok, Some common fixed point theorems for generalized f-weakly contractive mappings, J. Appl. Math. Informatics 29(2011), 257-265.
9 S. Chandok, Some common fixed point theorems for generalized nonlinear contractive mappings, Computers and Mathematics with Applications 62(2011), 3692-3699.   DOI   ScienceOn
10 S. Chandok, Common fixed points for generalized nonlinear contractive mappings in metric spaces, Mat. Vesnik 65(2013), 29-34.
11 S. Chandok, Some common fixed point results for generalized weak contractive mappings in partially ordered metric spaces, J. Nonlinear Anal. Opt. (in press).
12 S. Chandok and E. Karapinar, Some common fixed point results for generalized rational type weak contraction mappings in partially ordered metric spaces, Thai J. Math. (in press).
13 S. Chandok and J. K. Kim, Fixed point theorem in ordered metric spaces for generalized contractions mappings satisfying rational type expressions, J. Nonlinear Functional Anal. Appl. 17(2012), 301-306.
14 J. Harjani, B. Lopez and K. Sadarangani, A fixed point theorem for mappings satisfying a contractive condition of rational type on a partially ordered metric space, Abstract Appl. Anal. 2010, Article ID 190701.
15 L. Ciric, M. O. Olatinwo, D. Gopal and G. Akinbo, Coupled point theorems for mappings satisfying a contractive condition of rational type on a partially ordered metric space, Adv. Fixed Point Theory 2(2012), 1-8.