{"id":3222,"date":"2026-07-17T20:41:55","date_gmt":"2026-07-17T20:41:55","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=3222"},"modified":"2026-07-17T21:01:26","modified_gmt":"2026-07-17T21:01:26","slug":"positive-additive-nearly-functional-equation-in-c-algebras-by-two-approaches","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/positive-additive-nearly-functional-equation-in-c-algebras-by-two-approaches\/","title":{"rendered":"Positive-additive Nearly functional equation in C*-algebras by two approaches"},"content":{"rendered":"\n
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Moroccan Journal of Algebra and Geometry with Applications<\/strong><\/p>\n\n\n\n

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Positive-additive Nearly functional equation in C*-algebras by two approaches<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

H. Azadi Kenary<\/strong> <\/i>
Department of Mathematics, College of Sciences, Yasouj University, Yasouj 75914-353, Iran.<\/p>\n\n\n\n

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Pages 80-88 | Received 20 March 2025, Accepted 17 July 2025, Published 19 July 2026 <\/span><\/p>\n\n\n\n

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Abstract<\/span><\/strong><\/p>\n\n\n\n

In this paper, we introduce the following positive-additive functional equation in C^*<\/span>-algebras <\/p>\n\n\n\n

f\\left(x+3x^\\frac{2}{3} \\sqrt[3]{y}+3y^\\frac{2}{3} \\sqrt[3]{x}+y\\right) = f(x)+3f(x)^\\frac{2}{3} \\sqrt[3]{f(y)}+3f(y)^\\frac{2}{3} \\sqrt[3]{f(x)}+f(y).<\/span><\/p>\n\n\n\n

Using fixed point methods, we prove the stability of the positive-additive functional equation in C^*<\/span>-algebras. Moreover, we prove the Hyers-Ulam stability of the positive-additive functional equation in C^*<\/span>-algebras by the direct method of Hyers and Ulam.<\/p>\n\n\n\n

Keywords<\/strong>:<\/span> Hyers-Ulam stability, C^*<\/span>-algebra, fixed point, positive-additive functional equation.<\/p>\n\n\n\n

MSC numbers<\/strong>:<\/span> 46L05, 47H10, 39B52.<\/p>\n\n\n\n

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Moroccan Journal of Algebra and Geometry with Applications Latest articles Positive-additive Nearly functional equation in C*-algebras by two approaches H. Azadi Kenary Department of Mathematics, College of Sciences, Yasouj University, Yasouj 75914-353, Iran. Pages 80-88 | Received 20 March 2025, Accepted 17 July 2025, Published 19 July 2026 Abstract In this paper, we introduce the Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-page-builder.php","meta":{"footnotes":""},"class_list":["post-3222","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/3222","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/comments?post=3222"}],"version-history":[{"count":9,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/3222\/revisions"}],"predecessor-version":[{"id":3235,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/3222\/revisions\/3235"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=3222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}