TY - JOUR
ID - 3496
TI - Generalized multivalued $F$-contractions on non-complete metric spaces
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Baghani, Hamid
AD - Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan, Iran
Y1 - 2018
PY - 2018
VL - 9
IS - 2
SP - 71
EP - 84
KW - Fixed point theorem
KW - Weakly Picard operator
KW - O-complete metric space
KW - Selections of multivalued functions
DO - 10.22075/ijnaa.2018.1644.1432
N2 - 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.
UR - https://ijnaa.semnan.ac.ir/article_3496.html
L1 - https://ijnaa.semnan.ac.ir/article_3496_4b64c826687d159161940de7dcd0b715.pdf
ER -