University of MaraghehSahand Communications in Mathematical Analysis2322-580702220151201Generalized multivalued $F$-weak contractions on complete metric spaces11112839ENHosseinPiriDepartment of Mathematics, Faculty of Science, University of Bonab, P.O.Box 5551-761167, Bonab, Iran.SamiraRahroviDepartment of Mathematics, Faculty of Science, University of Bonab, P.O.Box 5551-761167, Bonab, Iran.Journal Article20150409In this paper, we introduce the notion of generalized multivalued $F$- weak contraction and we prove some fixed point theorems related to introduced contraction for multivalued mapping in complete metric spaces. Our results extend and improve the results announced by many others with less hypothesis. Also, we give some illustrative examples.https://scma.maragheh.ac.ir/article_12839_d544549fe3810d0d2647b7e1e1e7c186.pdf