Multivalued Fixed Point Results in Dislocated b-Metric Spaces with Application to the System of Nonlinear Integral Equations
The purpose of this paper is to find out fixed point results for a pair of semi α * -dominated multivalued mappings fulfilling a generalized locally F-dominated multivalued contractive condition on a closed ball in complete dislocated b-metric space. Some new fixed point results wit...
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MDPI AG
2019-01-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/11/1/40 |
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doaj-a2411180a17548878a70b995d98532d92020-11-24T22:53:41ZengMDPI AGSymmetry2073-89942019-01-011114010.3390/sym11010040sym11010040Multivalued Fixed Point Results in Dislocated b-Metric Spaces with Application to the System of Nonlinear Integral EquationsTahair Rasham0Abdullah Shoaib1Nawab Hussain2Badriah A. S. Alamri3Muhammad Arshad4Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, PakistanDepartment of Mathematics and Statistics, Riphah International University, Islamabad 44000, PakistanDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, PakistanThe purpose of this paper is to find out fixed point results for a pair of semi α * -dominated multivalued mappings fulfilling a generalized locally F-dominated multivalued contractive condition on a closed ball in complete dislocated b-metric space. Some new fixed point results with graphic contractions on closed ball for a pair of multi graph dominated mappings on dislocated b-metric space have been established. An application to the existence of unique common solution of a system of integral equations is presented. 2010 Mathematics Subject Classification: 46Txx, 47H04, 47H10; 54H25.http://www.mdpi.com/2073-8994/11/1/40fixed pointgeneralized F-contractionclosed ballsemi α*-dominated multivalued mappinggraphic contractionsapplication to integral equations |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Tahair Rasham Abdullah Shoaib Nawab Hussain Badriah A. S. Alamri Muhammad Arshad |
| spellingShingle |
Tahair Rasham Abdullah Shoaib Nawab Hussain Badriah A. S. Alamri Muhammad Arshad Multivalued Fixed Point Results in Dislocated b-Metric Spaces with Application to the System of Nonlinear Integral Equations Symmetry fixed point generalized F-contraction closed ball semi α*-dominated multivalued mapping graphic contractions application to integral equations |
| author_facet |
Tahair Rasham Abdullah Shoaib Nawab Hussain Badriah A. S. Alamri Muhammad Arshad |
| author_sort |
Tahair Rasham |
| title |
Multivalued Fixed Point Results in Dislocated b-Metric Spaces with Application to the System of Nonlinear Integral Equations |
| title_short |
Multivalued Fixed Point Results in Dislocated b-Metric Spaces with Application to the System of Nonlinear Integral Equations |
| title_full |
Multivalued Fixed Point Results in Dislocated b-Metric Spaces with Application to the System of Nonlinear Integral Equations |
| title_fullStr |
Multivalued Fixed Point Results in Dislocated b-Metric Spaces with Application to the System of Nonlinear Integral Equations |
| title_full_unstemmed |
Multivalued Fixed Point Results in Dislocated b-Metric Spaces with Application to the System of Nonlinear Integral Equations |
| title_sort |
multivalued fixed point results in dislocated b-metric spaces with application to the system of nonlinear integral equations |
| publisher |
MDPI AG |
| series |
Symmetry |
| issn |
2073-8994 |
| publishDate |
2019-01-01 |
| description |
The purpose of this paper is to find out fixed point results for a pair of semi α * -dominated multivalued mappings fulfilling a generalized locally F-dominated multivalued contractive condition on a closed ball in complete dislocated b-metric space. Some new fixed point results with graphic contractions on closed ball for a pair of multi graph dominated mappings on dislocated b-metric space have been established. An application to the existence of unique common solution of a system of integral equations is presented. 2010 Mathematics Subject Classification: 46Txx, 47H04, 47H10; 54H25. |
| topic |
fixed point generalized F-contraction closed ball semi α*-dominated multivalued mapping graphic contractions application to integral equations |
| url |
http://www.mdpi.com/2073-8994/11/1/40 |
| work_keys_str_mv |
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1725662384254615552 |