Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy <i>φ</i>-2-Normed Spaces and Non-Archimedean Banach Spaces
In this work, we introduce a new type of generalized mixed-type quadratic-additive functional equation and obtain its general solution. The main goal of this work is to investigate Ulam stability of this mixed type of quadratic-additive functional equation in the setting of non-Archimedean fuzzy <...
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| Format: | Article |
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MDPI AG
2023-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/2/270 |
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| author | Kandhasamy Tamilvanan Ali H. Alkhaldi Ravi P. Agarwal Abdulaziz M. Alanazi |
| author_facet | Kandhasamy Tamilvanan Ali H. Alkhaldi Ravi P. Agarwal Abdulaziz M. Alanazi |
| author_sort | Kandhasamy Tamilvanan |
| collection | DOAJ |
| description | In this work, we introduce a new type of generalized mixed-type quadratic-additive functional equation and obtain its general solution. The main goal of this work is to investigate Ulam stability of this mixed type of quadratic-additive functional equation in the setting of non-Archimedean fuzzy <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>φ</mi></semantics></math></inline-formula>-2-normed space and non-Archimedean Banach space using the direct and fixed point approaches by taking into our account two cases: even mapping and odd mapping. |
| first_indexed | 2024-03-09T11:47:27Z |
| format | Article |
| id | doaj.art-5963f5b2fbfe4262aa2570fdaf2e0377 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T11:47:27Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-5963f5b2fbfe4262aa2570fdaf2e03772023-11-30T23:19:50ZengMDPI AGMathematics2227-73902023-01-0111227010.3390/math11020270Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy <i>φ</i>-2-Normed Spaces and Non-Archimedean Banach SpacesKandhasamy Tamilvanan0Ali H. Alkhaldi1Ravi P. Agarwal2Abdulaziz M. Alanazi3Department of Mathematics, Faculty of Science & Humanities, R.M.K. Engineering College, Srivilliputhur 601 206, Tamil Nadu, IndiaDepartment of Mathematics, College of Science, King Khalid University, Abha 61421, Saudi ArabiaDepartment of Mathematics, Texas A & M University-Kingsville, 700 University Blvd., Kingsville, TX 78363-8202, USADepartment of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaIn this work, we introduce a new type of generalized mixed-type quadratic-additive functional equation and obtain its general solution. The main goal of this work is to investigate Ulam stability of this mixed type of quadratic-additive functional equation in the setting of non-Archimedean fuzzy <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>φ</mi></semantics></math></inline-formula>-2-normed space and non-Archimedean Banach space using the direct and fixed point approaches by taking into our account two cases: even mapping and odd mapping.https://www.mdpi.com/2227-7390/11/2/270non-Archimedean φ-2-normed spacefixed pointquadratic-additive functional equation |
| spellingShingle | Kandhasamy Tamilvanan Ali H. Alkhaldi Ravi P. Agarwal Abdulaziz M. Alanazi Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy <i>φ</i>-2-Normed Spaces and Non-Archimedean Banach Spaces Mathematics non-Archimedean φ-2-normed space fixed point quadratic-additive functional equation |
| title | Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy <i>φ</i>-2-Normed Spaces and Non-Archimedean Banach Spaces |
| title_full | Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy <i>φ</i>-2-Normed Spaces and Non-Archimedean Banach Spaces |
| title_fullStr | Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy <i>φ</i>-2-Normed Spaces and Non-Archimedean Banach Spaces |
| title_full_unstemmed | Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy <i>φ</i>-2-Normed Spaces and Non-Archimedean Banach Spaces |
| title_short | Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy <i>φ</i>-2-Normed Spaces and Non-Archimedean Banach Spaces |
| title_sort | fixed point approach ulam stability results of functional equation in non archimedean fuzzy i φ i 2 normed spaces and non archimedean banach spaces |
| topic | non-Archimedean φ-2-normed space fixed point quadratic-additive functional equation |
| url | https://www.mdpi.com/2227-7390/11/2/270 |
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