Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators
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 al...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5518647 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560129787035648 |
|---|---|
| author | Azhar Hussain Ahsan Ali Vahid Parvaneh Hassen Aydi |
| author_facet | Azhar Hussain Ahsan Ali Vahid Parvaneh Hassen Aydi |
| author_sort | Azhar Hussain |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a4629b8dc2d64a9bb4b19eb10efb5ef4 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-a4629b8dc2d64a9bb4b19eb10efb5ef42025-02-03T01:28:27ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55186475518647Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard OperatorsAzhar Hussain0Ahsan Ali1Vahid Parvaneh2Hassen Aydi3Department of Mathematics, University of Sargodha, Sargodha 40100, PakistanDepartment of Mathematics, University of Sargodha, Sargodha 40100, PakistanDepartment of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, IranInstitut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, TunisiaIn 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.http://dx.doi.org/10.1155/2021/5518647 |
| spellingShingle | Azhar Hussain Ahsan Ali Vahid Parvaneh Hassen Aydi Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators Journal of Mathematics |
| title | Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators |
| title_full | Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators |
| title_fullStr | Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators |
| title_full_unstemmed | Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators |
| title_short | Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators |
| title_sort | data dependence strict fixed point results and well posedness of multivalued weakly picard operators |
| url | http://dx.doi.org/10.1155/2021/5518647 |
| work_keys_str_mv | AT azharhussain datadependencestrictfixedpointresultsandwellposednessofmultivaluedweaklypicardoperators AT ahsanali datadependencestrictfixedpointresultsandwellposednessofmultivaluedweaklypicardoperators AT vahidparvaneh datadependencestrictfixedpointresultsandwellposednessofmultivaluedweaklypicardoperators AT hassenaydi datadependencestrictfixedpointresultsandwellposednessofmultivaluedweaklypicardoperators |