Altun, IshakOlgun, MuratMinak, Gulhan2020-06-252020-06-252015Ishak 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 - 672.1027-54872224-6851https://doi.org/10.11650/tjm.19.2015.4752https://hdl.handle.net/20.500.12587/6151Altun, Ishak/0000-0002-7967-0554; Minak, Gulhan/0000-0002-3711-9633;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.eninfo:eu-repo/semantics/openAccessWeakly Picard operatorFixed pointMultivalued mappingsNonlinear F-contractionsComplete metric spaceArticle19365967210.11650/tjm.19.2015.47522-s2.0-84930239821Q3WOS:000355118800001Q2