TY - JOUR T1 - Generalization of (α-F_{d})--contraction on quasi--metric space AU - Acar, Özlem PY - 2019 DA - February Y2 - 2018 DO - 10.31801/cfsuasmas.443587 JF - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics JO - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. PB - Ankara University WT - DergiPark SN - 1303-5991 SP - 35 EP - 42 VL - 68 IS - 1 LA - en AB - In this paper, we introduce the concept of generalized (α-F_{d})-contraction and give some fixed point results in quasi metric spaces with different types of completeness. KW - Quasi--metric space KW - F-contraction KW - α-admissible CR - Altun, I., Al Arifi, N., Jleli M., Lashin, A., Samet, B., A new concept of (α-F_{d})-contraction on quasi metric space, J. Nonlinear Sci. Appl., 9 (2016), no. 5, 3354--3361. CR - Cosentino,M., Vetro, P., Fixed point results for F-contractive mappings of Hardy-Rogers-type, Filomat, 28 (2014), 715--722. CR - Hussain, N., Vetro,C., Vetro,F., Fixed point results for α-implicit contractions with application to integral equations, Nonlinear Anal. Model. Control, 21 (2016), 362--378. CR - Karapınar, E., Samet, B., Generalized α-ψ-contractive type mappings and related fixed point theorems with applications, Abstr. Appl. Anal., 2012 (2012), 17 pages. CR - Kumam, P., Vetro, C., Vetro, F., Fixed points for weak α-ψ-contractions in partial metric spaces, Abstr. Appl. Anal., 2013 (2013), 9 pages. CR - Künzi, H.P. A., Vajner, V., Weighted quasi-metrics, Ann. New York Acad. Sci., 728 (1994), 64--67. CR - Mınak, G., Olgun, M., Altun, I., A new approach to fixed point theorems for multivalued contractive maps, Carpathian J. Math., 31 (2015), 241--248. CR - Reilly, I. L., Subrahmanyam, P. V., Vamanamurthy, M. K., Cauchy sequences in quasi- pseudo-metric spaces, Monatsh. Math., 93 (1982), 127--140. 1.1, 1, 1.2, CR - Romaguera, S., Left K-completeness in quasi-metric spaces, Math. Nachr., 157 (1992), 15--23. SVV : Samet, B., Vetro,C., Vetro, P., Fixed point theorems for α-ψ-contractive type mappings, Nonlinear Anal., 75 (2012), 2154--2165. CR - Wardowski, D., Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl., 2012 (2012), 6 pages. CR - Wardowski, D., Van Dung, N., Fixed points of F-weak contractions on complete metric spaces, Demonstr. Math., 47 (2014), 146--155. UR - https://doi.org/10.31801/cfsuasmas.443587 L1 - https://dergipark.org.tr/en/download/article-file/506290 ER -