Stability Results of Quadratic-Additive Functional Equation Based on Hyers Technique in Matrix Paranormed Spaces
In this work, we introduce a mixed type of quadratic-additive (QA) functional equation and obtain its general solution. The objective of this work is to investigate the Ulam–Hyers stability of this quadratic-additive (QA) functional equation in matrix paranormed spaces (briefly, MP spaces) using the...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/11/1940 |
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| author | Kandhasamy Tamilvanan Yahya Almalki Syed Abdul Mohiuddine Ravi P. Agarwal |
| author_facet | Kandhasamy Tamilvanan Yahya Almalki Syed Abdul Mohiuddine Ravi P. Agarwal |
| author_sort | Kandhasamy Tamilvanan |
| collection | DOAJ |
| description | In this work, we introduce a mixed type of quadratic-additive (QA) functional equation and obtain its general solution. The objective of this work is to investigate the Ulam–Hyers stability of this quadratic-additive (QA) functional equation in matrix paranormed spaces (briefly, MP spaces) using the Hyers method for the factor <i>sum of norms</i>. |
| first_indexed | 2024-03-10T01:05:10Z |
| format | Article |
| id | doaj.art-2792265b7a6b431f852c9dbce561917f |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T01:05:10Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-2792265b7a6b431f852c9dbce561917f2023-11-23T14:27:17ZengMDPI AGMathematics2227-73902022-06-011011194010.3390/math10111940Stability Results of Quadratic-Additive Functional Equation Based on Hyers Technique in Matrix Paranormed SpacesKandhasamy Tamilvanan0Yahya Almalki1Syed Abdul Mohiuddine2Ravi P. Agarwal3Department of Mathematics, School of Advanced Sciences, Kalasalingam Academy of Research and Education, Srivilliputhur 626126, Tamil Nadu, IndiaDepartment of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi ArabiaDepartment of General Required Courses, Mathematics, Faculty of Applied Studies, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Florida Institute of Technology, Melbourne, FL 32901, USAIn this work, we introduce a mixed type of quadratic-additive (QA) functional equation and obtain its general solution. The objective of this work is to investigate the Ulam–Hyers stability of this quadratic-additive (QA) functional equation in matrix paranormed spaces (briefly, MP spaces) using the Hyers method for the factor <i>sum of norms</i>.https://www.mdpi.com/2227-7390/10/11/1940matrix paranormed spacesUlam–Hyers stabilityquadratic-additive functional equationHyers method |
| spellingShingle | Kandhasamy Tamilvanan Yahya Almalki Syed Abdul Mohiuddine Ravi P. Agarwal Stability Results of Quadratic-Additive Functional Equation Based on Hyers Technique in Matrix Paranormed Spaces Mathematics matrix paranormed spaces Ulam–Hyers stability quadratic-additive functional equation Hyers method |
| title | Stability Results of Quadratic-Additive Functional Equation Based on Hyers Technique in Matrix Paranormed Spaces |
| title_full | Stability Results of Quadratic-Additive Functional Equation Based on Hyers Technique in Matrix Paranormed Spaces |
| title_fullStr | Stability Results of Quadratic-Additive Functional Equation Based on Hyers Technique in Matrix Paranormed Spaces |
| title_full_unstemmed | Stability Results of Quadratic-Additive Functional Equation Based on Hyers Technique in Matrix Paranormed Spaces |
| title_short | Stability Results of Quadratic-Additive Functional Equation Based on Hyers Technique in Matrix Paranormed Spaces |
| title_sort | stability results of quadratic additive functional equation based on hyers technique in matrix paranormed spaces |
| topic | matrix paranormed spaces Ulam–Hyers stability quadratic-additive functional equation Hyers method |
| url | https://www.mdpi.com/2227-7390/10/11/1940 |
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