A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application
The aim of this article is to investigate the relationship between integral-type contractions and the generalized dynamic process. The fixed-point results for multivalued mappings that satisfy both the integral Khan-type contraction and the integral <inline-formula><math xmlns="http://...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/20/4318 |
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| author | Mustafa Mudhesh Aftab Hussain Muhammad Arshad Hamed Alsulami |
| author_facet | Mustafa Mudhesh Aftab Hussain Muhammad Arshad Hamed Alsulami |
| author_sort | Mustafa Mudhesh |
| collection | DOAJ |
| description | The aim of this article is to investigate the relationship between integral-type contractions and the generalized dynamic process. The fixed-point results for multivalued mappings that satisfy both the integral Khan-type contraction and the integral <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>θ</mi></semantics></math></inline-formula>-contraction are established in a complete metric space. Furthermore, some corollaries are derived based on our main contribution. To demonstrate the novelty of our findings, several examples are provided. Finally, we look into whether nonlinear fractional differential equations have solutions utilizing the obtained results. |
| first_indexed | 2024-03-10T21:04:25Z |
| format | Article |
| id | doaj.art-0bc9ccd0865e49408410c786f507da99 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T21:04:25Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-0bc9ccd0865e49408410c786f507da992023-11-19T17:14:18ZengMDPI AGMathematics2227-73902023-10-011120431810.3390/math11204318A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an ApplicationMustafa Mudhesh0Aftab Hussain1Muhammad Arshad2Hamed Alsulami3Department of Mathematics, International Islamic University, H-10, Islamabad 44000, PakistanDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, International Islamic University, H-10, Islamabad 44000, PakistanDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThe aim of this article is to investigate the relationship between integral-type contractions and the generalized dynamic process. The fixed-point results for multivalued mappings that satisfy both the integral Khan-type contraction and the integral <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>θ</mi></semantics></math></inline-formula>-contraction are established in a complete metric space. Furthermore, some corollaries are derived based on our main contribution. To demonstrate the novelty of our findings, several examples are provided. Finally, we look into whether nonlinear fractional differential equations have solutions utilizing the obtained results.https://www.mdpi.com/2227-7390/11/20/4318fixed pointintegral Khan-type (<i>ψ</i>,<i>ϕ</i>)-contractionintegral <i>θ</i>-contractiongeneralized dynamic processfractional differential equation |
| spellingShingle | Mustafa Mudhesh Aftab Hussain Muhammad Arshad Hamed Alsulami A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application Mathematics fixed point integral Khan-type (<i>ψ</i>,<i>ϕ</i>)-contraction integral <i>θ</i>-contraction generalized dynamic process fractional differential equation |
| title | A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application |
| title_full | A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application |
| title_fullStr | A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application |
| title_full_unstemmed | A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application |
| title_short | A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application |
| title_sort | contemporary approach of integral khan type multivalued contractions with generalized dynamic process and an application |
| topic | fixed point integral Khan-type (<i>ψ</i>,<i>ϕ</i>)-contraction integral <i>θ</i>-contraction generalized dynamic process fractional differential equation |
| url | https://www.mdpi.com/2227-7390/11/20/4318 |
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