%0 Journal Article
%T Generalized multivalued $F$-contractions on non-complete metric spaces
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Baghani, Hamid
%D 2018
%\ 12/11/2018
%V 9
%N 2
%P 71-84
%! Generalized multivalued $F$-contractions on non-complete metric spaces
%K Fixed point theorem
%K Weakly Picard operator
%K O-complete metric space
%K Selections of multivalued functions
%R 10.22075/ijnaa.2018.1644.1432
%X In this paper, we explain a new generalized contractive condition for multivalued mappings and prove a fixed point theorem in metric spaces (not necessary complete) which extends some well-known results in the literature. Finally, as an application, we prove that a multivalued function satisfying a general linear functional inclusion admits a unique selection fulfilling the corresponding functional equation.
%U https://ijnaa.semnan.ac.ir/article_3496_4b64c826687d159161940de7dcd0b715.pdf