Durmaz, GoncaMinak, GulhanAltun, Ishak2020-06-252020-06-252016Durmaz G., Mınak G., Altun I. (2016). Fixed points of ordered F-contractions. Hacettepe Journal of Mathematics and Statistics, 45(1), 15 - 21.1303-5010https://doi.org/10.15672/HJMS.20164512482https://hdl.handle.net/20.500.12587/6633Altun, Ishak/0000-0002-7967-0554; MINAK, GULHAN/0000-0002-3711-9633In his recent paper, Wardowski [16] introduced the concept of F-contraction, which is a proper generalization of ordinary contraction on a complete metric space. Then, some generalizations of F-contractions including multivalued case are obtained in [2, 4, 7, 13]. In this paper, by considering both F-contractions and fixed point result on ordered metric spaces, we introduce a new concept of ordered F-contraction on ordered metric space. Then, we give a fixed point theorem for such mapping. To support our result, we give an example showing that our main theorem is applicable, but both results of Ran and Reurings [12] and Wardowski [16] are not.eninfo:eu-repo/semantics/openAccessFixed pointF-contractionordered F-contractioncomplete metric spaceArticle451152110.15672/HJMS.201645124822-s2.0-84961576940Q2208932WOS:000379031700002Q4