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

Azhar Hussain | Zendy; Ahsan Ali | Zendy; Vahid Parvaneh | Zendy; Hassen Aydi | Zendy

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

Author(s) -

Azhar Hussain,

Ahsan Ali,

Vahid Parvaneh,

Hassen Aydi

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/5518647

Subject(s) - mathematics , fixed point , usability , point (geometry) , pure mathematics , algebra over a field , discrete mathematics , mathematical analysis , geometry , computer science , human–computer interaction

In this paper, we introduce the notion of s , r -contractive multivalued weakly Picard operators via simulation functions, named as Z s , 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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