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 journalArticlepeer-review

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 languageEnglish
Article number5518647
JournalJournal of Mathematics
Volume2021
DOIs
Publication statusPublished - 2021
Externally publishedYes

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