Simulative Suzuki-Gerghaty Type Contraction With <inline-formula> <tex-math notation="LaTeX">$\mathscr{C}$ </tex-math></inline-formula>-Class Functions and Applications
The purpose of this paper is to introduce the notion of a Suzuki–Gerghaty type contractive mapping via the simulation functions along with the <inline-formula> <tex-math notation="LaTeX">$\mathscr {C}$ </tex-math></inline-formula>-class functions and prov...
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8717629/ |
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| author | Abdullah Eqal Al-Mazrooei Azhar Hussain Muhammad Ishfaq Jamshaid Ahmad |
| author_facet | Abdullah Eqal Al-Mazrooei Azhar Hussain Muhammad Ishfaq Jamshaid Ahmad |
| author_sort | Abdullah Eqal Al-Mazrooei |
| collection | DOAJ |
| description | The purpose of this paper is to introduce the notion of a Suzuki–Gerghaty type contractive mapping via the simulation functions along with the <inline-formula> <tex-math notation="LaTeX">$\mathscr {C}$ </tex-math></inline-formula>-class functions and prove the existence of the fixed point result. An example is given to show the validity of our results. Moreover, we prove the existence of solution of a nonlinear Hammerstein integral equation. |
| format | Article |
| id | doaj-art-c29be5da108f4a3b8a308000f5cc369a |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-c29be5da108f4a3b8a308000f5cc369a2025-08-20T03:33:39ZengIEEEIEEE Access2169-35362019-01-017752847529110.1109/ACCESS.2019.29174998717629Simulative Suzuki-Gerghaty Type Contraction With <inline-formula> <tex-math notation="LaTeX">$\mathscr{C}$ </tex-math></inline-formula>-Class Functions and ApplicationsAbdullah Eqal Al-Mazrooei0Azhar Hussain1https://orcid.org/0000-0003-4501-9269Muhammad Ishfaq2Jamshaid Ahmad3Department of Mathematics, University of Jeddah, Jeddah, Saudi ArabiaDepartment of Mathematics, University of Sargodha, Sargodha, PakistanDepartment of Mathematics, University of Sargodha, Sargodha, PakistanDepartment of Mathematics, University of Jeddah, Jeddah, Saudi ArabiaThe purpose of this paper is to introduce the notion of a Suzuki–Gerghaty type contractive mapping via the simulation functions along with the <inline-formula> <tex-math notation="LaTeX">$\mathscr {C}$ </tex-math></inline-formula>-class functions and prove the existence of the fixed point result. An example is given to show the validity of our results. Moreover, we prove the existence of solution of a nonlinear Hammerstein integral equation.https://ieeexplore.ieee.org/document/8717629/Simulation functionsC-class functionnonlinear integral equation |
| spellingShingle | Abdullah Eqal Al-Mazrooei Azhar Hussain Muhammad Ishfaq Jamshaid Ahmad Simulative Suzuki-Gerghaty Type Contraction With <inline-formula> <tex-math notation="LaTeX">$\mathscr{C}$ </tex-math></inline-formula>-Class Functions and Applications IEEE Access Simulation functions C-class function nonlinear integral equation |
| title | Simulative Suzuki-Gerghaty Type Contraction With <inline-formula> <tex-math notation="LaTeX">$\mathscr{C}$ </tex-math></inline-formula>-Class Functions and Applications |
| title_full | Simulative Suzuki-Gerghaty Type Contraction With <inline-formula> <tex-math notation="LaTeX">$\mathscr{C}$ </tex-math></inline-formula>-Class Functions and Applications |
| title_fullStr | Simulative Suzuki-Gerghaty Type Contraction With <inline-formula> <tex-math notation="LaTeX">$\mathscr{C}$ </tex-math></inline-formula>-Class Functions and Applications |
| title_full_unstemmed | Simulative Suzuki-Gerghaty Type Contraction With <inline-formula> <tex-math notation="LaTeX">$\mathscr{C}$ </tex-math></inline-formula>-Class Functions and Applications |
| title_short | Simulative Suzuki-Gerghaty Type Contraction With <inline-formula> <tex-math notation="LaTeX">$\mathscr{C}$ </tex-math></inline-formula>-Class Functions and Applications |
| title_sort | simulative suzuki gerghaty type contraction with inline formula tex math notation latex mathscr c tex math inline formula class functions and applications |
| topic | Simulation functions C-class function nonlinear integral equation |
| url | https://ieeexplore.ieee.org/document/8717629/ |
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