Ulam Stability Results of Functional Equations in Modular Spaces and 2-Banach Spaces

Kandhasamy Tamilvanan (), Ali H. Alkhaldi, Jyotsana Jakhar, Renu Chugh, Jagjeet Jakhar and John Michael Rassias
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Kandhasamy Tamilvanan: Department of Mathematics, Faculty of Science & Humanities, R.M.K. Engineering College, Kavaraipettai, Tiruvallur 601206, Tamil Nadu, India
Ali H. Alkhaldi: Department of Mathematics, College of Science, King Khalid University, Abha 61421, Saudi Arabia
Jyotsana Jakhar: Department of Mathematics, M.D. University, Rohtak 124001, Haryana, India
Renu Chugh: Department of Mathematics, M.D. University, Rohtak 124001, Haryana, India
Jagjeet Jakhar: Department of Mathematics, Central University of Haryana, Mahendergarh 123031, Haryana, India
John Michael Rassias: Pedagogical Department of Mathematics and Informatics, The National and Kapodistrian University of Athens, 15342 Attikis, Greece

Mathematics, 2023, vol. 11, issue 2, 1-23

Abstract: In this work, we investigate the refined stability of the additive, quartic, and quintic functional equations in modular spaces with and without the Δ 2 -condition using the direct method (Hyers method). We also examine Ulam stability in 2-Banach space using the direct method. Additionally, using a suitable counterexample, we eventually demonstrate that the stability of these equations fails in a certain case.

Keywords: quartic and quintic functional equations; modular spaces; 2-Banach spaces; refined stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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