New Generalized Contractions by Employing Two Control Functions and Coupled Fixed-Point Theorems with Applications
In this study, we obtain certain coupled fixed-point results for generalized contractions involving two control functions in a controlled metric space. Additionally, we establish some coupled fixed-point results in graph-enabled controlled metric spaces. Many well-known results from the literature w...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/17/3208 |
| _version_ | 1797494238242406400 |
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| author | Hasanen A. Hammad Mohra Zayed |
| author_facet | Hasanen A. Hammad Mohra Zayed |
| author_sort | Hasanen A. Hammad |
| collection | DOAJ |
| description | In this study, we obtain certain coupled fixed-point results for generalized contractions involving two control functions in a controlled metric space. Additionally, we establish some coupled fixed-point results in graph-enabled controlled metric spaces. Many well-known results from the literature will be expanded upon and modified by our results. In order to demonstrate the validity of the stated results, we also offer some examples. Finally, we apply the theoretical results to obtain the solution to a system of integral equations. |
| first_indexed | 2024-03-10T01:31:28Z |
| format | Article |
| id | doaj.art-39be134044224c638d9fef5c5643116e |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T01:31:28Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-39be134044224c638d9fef5c5643116e2023-11-23T13:40:21ZengMDPI AGMathematics2227-73902022-09-011017320810.3390/math10173208New Generalized Contractions by Employing Two Control Functions and Coupled Fixed-Point Theorems with ApplicationsHasanen A. Hammad0Mohra Zayed1Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi ArabiaMathematics Department, College of Science, King Khalid University, Abha 61413, Saudi ArabiaIn this study, we obtain certain coupled fixed-point results for generalized contractions involving two control functions in a controlled metric space. Additionally, we establish some coupled fixed-point results in graph-enabled controlled metric spaces. Many well-known results from the literature will be expanded upon and modified by our results. In order to demonstrate the validity of the stated results, we also offer some examples. Finally, we apply the theoretical results to obtain the solution to a system of integral equations.https://www.mdpi.com/2227-7390/10/17/3208coupled fixed-point techniquecontrol functioncontraction mappingcontrolled metric spacedirected graphintegral equation |
| spellingShingle | Hasanen A. Hammad Mohra Zayed New Generalized Contractions by Employing Two Control Functions and Coupled Fixed-Point Theorems with Applications Mathematics coupled fixed-point technique control function contraction mapping controlled metric space directed graph integral equation |
| title | New Generalized Contractions by Employing Two Control Functions and Coupled Fixed-Point Theorems with Applications |
| title_full | New Generalized Contractions by Employing Two Control Functions and Coupled Fixed-Point Theorems with Applications |
| title_fullStr | New Generalized Contractions by Employing Two Control Functions and Coupled Fixed-Point Theorems with Applications |
| title_full_unstemmed | New Generalized Contractions by Employing Two Control Functions and Coupled Fixed-Point Theorems with Applications |
| title_short | New Generalized Contractions by Employing Two Control Functions and Coupled Fixed-Point Theorems with Applications |
| title_sort | new generalized contractions by employing two control functions and coupled fixed point theorems with applications |
| topic | coupled fixed-point technique control function contraction mapping controlled metric space directed graph integral equation |
| url | https://www.mdpi.com/2227-7390/10/17/3208 |
| work_keys_str_mv | AT hasanenahammad newgeneralizedcontractionsbyemployingtwocontrolfunctionsandcoupledfixedpointtheoremswithapplications AT mohrazayed newgeneralizedcontractionsbyemployingtwocontrolfunctionsandcoupledfixedpointtheoremswithapplications |