Generalized Additive Functional Equation: General Solution and Hyers-Ulam Stability in Banach Spaces via Alternative Fixed Point Theorem
In this paper, we secure the general solution of the generalized additive functional equation [Equation presented] where r is a positive integer with N−{0,1,2,3,4}, and also examine Hyers-Ulam stability results by utilizing alternative fixed point for a generalized additive functional equation...
| Published in: | Dera Natung Government College Research Journal |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Dera Natung Government College
2023-12-01
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| Subjects: | |
| Online Access: | https://dngc.ac.in/journals/index.php/dngcrj/article/view/175 |
| _version_ | 1849454270398595072 |
|---|---|
| author | Kandhasamy Tamilvanan Syed Abdul Mohiuddine |
| author_facet | Kandhasamy Tamilvanan Syed Abdul Mohiuddine |
| author_sort | Kandhasamy Tamilvanan |
| collection | DOAJ |
| container_title | Dera Natung Government College Research Journal |
| description | In this paper, we secure the general solution of the generalized additive functional equation
[Equation presented]
where r is a positive integer with N−{0,1,2,3,4}, and also examine Hyers-Ulam stability results by utilizing alternative fixed point for a generalized additive functional equation in Banach spaces. |
| format | Article |
| id | doaj-art-eaf46e499d3542bd8d89a7fd4dc03ce0 |
| institution | Directory of Open Access Journals |
| issn | 2456-8228 2583-5483 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Dera Natung Government College |
| record_format | Article |
| spelling | doaj-art-eaf46e499d3542bd8d89a7fd4dc03ce02025-08-20T03:26:00ZengDera Natung Government CollegeDera Natung Government College Research Journal2456-82282583-54832023-12-018111310.56405/dngcrj.2023.08.01.01175Generalized Additive Functional Equation: General Solution and Hyers-Ulam Stability in Banach Spaces via Alternative Fixed Point TheoremKandhasamy Tamilvanan0https://orcid.org/0000-0002-4900-7604Syed Abdul Mohiuddine1https://orcid.org/0000-0002-9050-9104Department of Mathematics, Faculty of Science & Humanities, R.M.K. Engineering College, Kavaraipettai, Tiruvallur 601 206, Tamil Nadu, IndiaDepartment of General Required Courses, Mathematics, The Applied College, King Abdulaziz University, Jeddah 21589, Saudi ArabiaIn this paper, we secure the general solution of the generalized additive functional equation [Equation presented] where r is a positive integer with N−{0,1,2,3,4}, and also examine Hyers-Ulam stability results by utilizing alternative fixed point for a generalized additive functional equation in Banach spaces.https://dngc.ac.in/journals/index.php/dngcrj/article/view/175banach spacefixed pointhyers-ulam stabilityadditive functional equation |
| spellingShingle | Kandhasamy Tamilvanan Syed Abdul Mohiuddine Generalized Additive Functional Equation: General Solution and Hyers-Ulam Stability in Banach Spaces via Alternative Fixed Point Theorem banach space fixed point hyers-ulam stability additive functional equation |
| title | Generalized Additive Functional Equation: General Solution and Hyers-Ulam Stability in Banach Spaces via Alternative Fixed Point Theorem |
| title_full | Generalized Additive Functional Equation: General Solution and Hyers-Ulam Stability in Banach Spaces via Alternative Fixed Point Theorem |
| title_fullStr | Generalized Additive Functional Equation: General Solution and Hyers-Ulam Stability in Banach Spaces via Alternative Fixed Point Theorem |
| title_full_unstemmed | Generalized Additive Functional Equation: General Solution and Hyers-Ulam Stability in Banach Spaces via Alternative Fixed Point Theorem |
| title_short | Generalized Additive Functional Equation: General Solution and Hyers-Ulam Stability in Banach Spaces via Alternative Fixed Point Theorem |
| title_sort | generalized additive functional equation general solution and hyers ulam stability in banach spaces via alternative fixed point theorem |
| topic | banach space fixed point hyers-ulam stability additive functional equation |
| url | https://dngc.ac.in/journals/index.php/dngcrj/article/view/175 |
| work_keys_str_mv | AT kandhasamytamilvanan generalizedadditivefunctionalequationgeneralsolutionandhyersulamstabilityinbanachspacesviaalternativefixedpointtheorem AT syedabdulmohiuddine generalizedadditivefunctionalequationgeneralsolutionandhyersulamstabilityinbanachspacesviaalternativefixedpointtheorem |