Higher Order of Convergence with Multivalued Contraction Mappings
In this paper, we establish some theorems of fixed point on multivalued mappings satisfying contraction mapping by using gauge function. Furthermore, we use Q- and R-order of convergence. Our main results extend many previous existing results in the literature. Consequently, to substantiate the vali...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/8867897 |
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| author | Jia-Bao Liu Asma Rashid Butt Shahzad Nadeem Shahbaz Ali Muhammad Shoaib |
| author_facet | Jia-Bao Liu Asma Rashid Butt Shahzad Nadeem Shahbaz Ali Muhammad Shoaib |
| author_sort | Jia-Bao Liu |
| collection | DOAJ |
| description | In this paper, we establish some theorems of fixed point on multivalued mappings satisfying contraction mapping by using gauge function. Furthermore, we use Q- and R-order of convergence. Our main results extend many previous existing results in the literature. Consequently, to substantiate the validity of proposed method, we give its application in integral inclusion. |
| format | Article |
| id | doaj-art-2ff1543d14224259804ed5fce91aa33f |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-2ff1543d14224259804ed5fce91aa33f2025-08-20T02:07:56ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/88678978867897Higher Order of Convergence with Multivalued Contraction MappingsJia-Bao Liu0Asma Rashid Butt1Shahzad Nadeem2Shahbaz Ali3Muhammad Shoaib4School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaDepartment of Mathematics, University of Engineering and Technology, Lahore, PakistanDepartment of Mathematics, Quaid-i-Azam University, Islamabad-45320, PakistanDepartment of Mathematics, Khawaja Fareed University of Engineering and Information Technology, Rahim Yar Kahn, PakistanDepartment of Mathematics, University of Punjab, New Campus, Lahore, PakistanIn this paper, we establish some theorems of fixed point on multivalued mappings satisfying contraction mapping by using gauge function. Furthermore, we use Q- and R-order of convergence. Our main results extend many previous existing results in the literature. Consequently, to substantiate the validity of proposed method, we give its application in integral inclusion.http://dx.doi.org/10.1155/2020/8867897 |
| spellingShingle | Jia-Bao Liu Asma Rashid Butt Shahzad Nadeem Shahbaz Ali Muhammad Shoaib Higher Order of Convergence with Multivalued Contraction Mappings Journal of Mathematics |
| title | Higher Order of Convergence with Multivalued Contraction Mappings |
| title_full | Higher Order of Convergence with Multivalued Contraction Mappings |
| title_fullStr | Higher Order of Convergence with Multivalued Contraction Mappings |
| title_full_unstemmed | Higher Order of Convergence with Multivalued Contraction Mappings |
| title_short | Higher Order of Convergence with Multivalued Contraction Mappings |
| title_sort | higher order of convergence with multivalued contraction mappings |
| url | http://dx.doi.org/10.1155/2020/8867897 |
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