References
- T. Gnana Bhaskar and V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (2006), pp. 1379–1393. doi: 10.1016/j.na.2005.10.017
- J. Jachymski, The contraction principle for mappings on a metric space with a graph, Proc. Amer. Math. Soc. 136(4) (2008), pp. 1359–73. doi: 10.1090/S0002-9939-07-09110-1
- J.J. Nieto and R. Rodriguez-Lopez, Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations, Acta Math. Sin. 23(12) (2007), pp. 2205–2212. doi: 10.1007/s10114-005-0769-0
- A. Petrusel and I.A. Rus, Fixed point theorems in ordered L-spaces, Proc. Amer. Math. Soc. 134 (2006), pp. 411–418. doi: 10.1090/S0002-9939-05-07982-7
- 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), pp. 1435–1443. doi: 10.1090/S0002-9939-03-07220-4
- B. Samet and M. Turinici, Fixed point theorems on a metric space endowed with an arbitrary binary relation and applications, Commun. Math. Anal. 13 (2012), pp. 82–97.
- M. Turinici, Ran-Reurings theorems in ordered metric spaces, J. Indian Math. Soc. 78 (2011), pp. 207–214.
- D. Wardowski, Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl. 2012 (2012), p. 94. Available at http://www.fixedpointtheoryandapplications.com/content/2012/1/94 doi: 10.1186/1687-1812-2012-94