Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators

Azhar Hussain; Ahsan Ali; Vahid Parvaneh; Hassen Aydi

doi:10.1155/2021/5518647

Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators

Azhar Hussain
, Ahsan Ali
, Vahid Parvaneh^*
, Hassen Aydi^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Article number	5518647
Journal	Journal of Mathematics
Volume	2021
DOIs	https://doi.org/10.1155/2021/5518647
Publication status	Published - 2021
Externally published	Yes

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abstract = "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 Mo{\c t} and Petru{\c s}el. To show the usability of our results, we give some examples and an application to resolve a functional equation arising in dynamical systems.",

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AU - Aydi, Hassen

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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.

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Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators

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