TY - JOUR
T1 - Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators
AU - Hussain, Azhar
AU - Ali, Ahsan
AU - Parvaneh, Vahid
AU - Aydi, Hassen
N1 - Publisher Copyright:
© 2021 Azhar Hussain et al.
PY - 2021
Y1 - 2021
N2 - In this paper, we introduce the notion of s,r-contractive multivalued weakly Picard operators via simulation functions, named as Zs,r-contractions. We present some related fixed point theorems. We investigate data dependence and strict fixed point results. The well-posedness for such operators is also considered. Moreover, we generalize the results of Moţ and Petruşel. To show the usability of our results, we give some examples and an application to resolve a functional equation arising in dynamical systems.
AB - In this paper, we introduce the notion of s,r-contractive multivalued weakly Picard operators via simulation functions, named as Zs,r-contractions. We present some related fixed point theorems. We investigate data dependence and strict fixed point results. The well-posedness for such operators is also considered. Moreover, we generalize the results of Moţ and Petruşel. To show the usability of our results, we give some examples and an application to resolve a functional equation arising in dynamical systems.
UR - http://www.scopus.com/inward/record.url?scp=85103631392&partnerID=8YFLogxK
U2 - 10.1155/2021/5518647
DO - 10.1155/2021/5518647
M3 - Article
AN - SCOPUS:85103631392
SN - 2314-4629
VL - 2021
JO - Journal of Mathematics
JF - Journal of Mathematics
M1 - 5518647
ER -