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.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In his recent paper, Wardowski [16] introduced the concept of Fcontraction, which is a proper generalization of ordinary contraction on a complete metric space.
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Temel Bulgular & Veri:Then, some generalizations of F-contractions including multivalued case are obtained in [2, 4, 7, 13].
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fixed point · F-contraction · ordered F-contraction
Abstract
In his recent paper, Wardowski [16] introduced the concept of Fcontraction, 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.
ALTUN, I., MINAK, G., DURMAZ, G. (2022). Fixed points of ordered F-contractions. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 1, 15–21. https://ajindex.com/articles/530078