Hyers Stability and Multi-Fuzzy Banach Algebra
In this paper, we define multi-fuzzy Banach algebra and then prove the stability of involution on multi-fuzzy Banach algebra by fixed point method. That is, if <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow&...
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MDPI AG
2021-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/1/106 |
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| author | Parvaneh Lo′lo′ Ehsan Movahednia Manuel De la Sen |
| author_facet | Parvaneh Lo′lo′ Ehsan Movahednia Manuel De la Sen |
| author_sort | Parvaneh Lo′lo′ |
| collection | DOAJ |
| description | In this paper, we define multi-fuzzy Banach algebra and then prove the stability of involution on multi-fuzzy Banach algebra by fixed point method. That is, if <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>:</mo><mi>A</mi><mo>→</mo><mi>A</mi></mrow></semantics></math></inline-formula> is an approximately involution on multi-fuzzy Banach algebra <i>A</i>, then there exists an involution <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>H</mi><mo>:</mo><mi>A</mi><mo>→</mo><mi>A</mi></mrow></semantics></math></inline-formula> which is near to <i>f</i>. In addition, under some conditions on <i>f</i>, the algebra <i>A</i> has multi <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>C</mi><mo>*</mo></msup></semantics></math></inline-formula>-algebra structure with involution <i>H</i>. |
| first_indexed | 2024-03-10T03:31:34Z |
| format | Article |
| id | doaj.art-1b832877c9804d639101d245963b52dd |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:31:34Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
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| series | Mathematics |
| spelling | doaj.art-1b832877c9804d639101d245963b52dd2023-11-23T11:54:13ZengMDPI AGMathematics2227-73902021-12-0110110610.3390/math10010106Hyers Stability and Multi-Fuzzy Banach AlgebraParvaneh Lo′lo′0Ehsan Movahednia1Manuel De la Sen2Department of Mathematics, Behbahan Khatam Alanbia University of Technology, Behbahan 6361647189, IranDepartment of Mathematics, Behbahan Khatam Alanbia University of Technology, Behbahan 6361647189, IranInstitute of Research and Development of Processes, University of Basque Country, Campus of Leioa (Bizkaia), 48080 Bilbao, SpainIn this paper, we define multi-fuzzy Banach algebra and then prove the stability of involution on multi-fuzzy Banach algebra by fixed point method. That is, if <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>:</mo><mi>A</mi><mo>→</mo><mi>A</mi></mrow></semantics></math></inline-formula> is an approximately involution on multi-fuzzy Banach algebra <i>A</i>, then there exists an involution <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>H</mi><mo>:</mo><mi>A</mi><mo>→</mo><mi>A</mi></mrow></semantics></math></inline-formula> which is near to <i>f</i>. In addition, under some conditions on <i>f</i>, the algebra <i>A</i> has multi <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>C</mi><mo>*</mo></msup></semantics></math></inline-formula>-algebra structure with involution <i>H</i>.https://www.mdpi.com/2227-7390/10/1/106stabilitymulti fuzzy Banach algebrafixed point theory |
| spellingShingle | Parvaneh Lo′lo′ Ehsan Movahednia Manuel De la Sen Hyers Stability and Multi-Fuzzy Banach Algebra Mathematics stability multi fuzzy Banach algebra fixed point theory |
| title | Hyers Stability and Multi-Fuzzy Banach Algebra |
| title_full | Hyers Stability and Multi-Fuzzy Banach Algebra |
| title_fullStr | Hyers Stability and Multi-Fuzzy Banach Algebra |
| title_full_unstemmed | Hyers Stability and Multi-Fuzzy Banach Algebra |
| title_short | Hyers Stability and Multi-Fuzzy Banach Algebra |
| title_sort | hyers stability and multi fuzzy banach algebra |
| topic | stability multi fuzzy Banach algebra fixed point theory |
| url | https://www.mdpi.com/2227-7390/10/1/106 |
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