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.
Fixed point F-contraction ordered F-contraction Complete metric space
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Şubat 2016 |
Yayımlandığı Sayı | Yıl 2016 Cilt: 45 Sayı: 1 |