On A New Class Of Multivalued Weakly Picard Operators On Complete Metric Spaces
Yükleniyor...
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mathematical Soc Rep China
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the present paper, the concept of nonlinear F-contraction for multivalued mappings in metric spaces is introduced and considering the new proof technique, which was used for single valued maps by Wardowski [D. Wardowski, Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl. 2012, 2012: 94, 6 pp.], we demonstrate that multivalued nonlinear F-contractions of Ciric type are weakly Picard operators on complete metric spaces. Finally, we give a nontrivial example to guarantee that our result is veritable generalization of recent result of Ciric [Lj. B. Ciric, Multi-valued nonlinear contraction mappings, Nonlinear Analysis, 71 (2009), 2716-2723]. Also, we show that many fixed point results in the literature can not be applied to this example.
Açıklama
Altun, Ishak/0000-0002-7967-0554; Minak, Gulhan/0000-0002-3711-9633;
Anahtar Kelimeler
Weakly Picard operator, Fixed point, Multivalued mappings, Nonlinear F-contractions, Complete metric space
Kaynak
Taiwanese Journal Of Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
19
Sayı
3
Künye
Ishak Altun. Murat Olgun. Gülhan Mınak. (2015)."On A New Class Of Multivalued Weakly Picard Operators On Complete Metric Spaces." Taiwanese J. Math. 19 (3) 659 - 672.
