In 2010, Kadelburg et al. () by providing an example showed that a contraction in an ordered metric space is not necessarily a contraction (in the classical sense). Thus fixed point results in ordered metric spaces are generalizations of ones in metric spaces in a sense. In this paper, we give some ordered fixed point results for convex contractions and special mappings which satisfy some contraction conditions. Also, we give some results concerning the property (P). © 2012 Elsevier Ltd. All rights reserved.
Ghorbanian, V., Rezapour, S., & Shahzad, N. (2012). Some ordered fixed point results and the property (P). Computers and Mathematics with Applications, 63(9), 1361–1368. https://doi.org/10.1016/j.camwa.2011.12.071