Stability results of mixed type functional equations in modular spaces and 2-Banach spaces

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Sushma Devi1,†, Asha Rani2 and Manoj Kumar3

Bull. Pure Appl. Sci. Sect. E Math. Stat.
42E(2), 94–108 (2023)
e-ISSN:2320-3226, Print ISSN:0970-6577
DOI: 10.48165/bpas.2023.42E.2.1

Description

Description

Sushma Devi1,†, Asha Rani2 and Manoj Kumar3

1. Kanya Mahavidyalaya, Kharkhoda, Haryana, India.
2. Pt. NRS Govt. College, Rohtak, Haryana, India.
3. Baba Mastnath University, Asthal Bohar, Rohtak, Haryana, India.
1. E-mail: sheoransushma50841@gmail.com , 2. E-mail: asharanisahrai@gmail.com
3. E-mail: manojantil18@gmail.com

∗ Communicated, edited and typeset in Latex by Lalit Mohan Upadhyaya (Editor-in-Chief).
Received February 16, 2023 / Revised October 19, 2023 / Accepted October 25, 2023. Online First
Published on December 25, 2023 at https://www.bpasjournals.com/.
†Corresponding author Sushma Devi, E-mail: sheoransushma50841@gmail.com

Abstract
In this paper, we investigate the generalized Hyers-Ulam-Stability of additive and quartic functional equations in modular spaces with and without the △2-condition using the direct method and also in 2-Banach Spaces. Key words additive and quartic functional equations, modular spaces, generalized Hyers-Ulam stability. 2020 Mathematics Subject Classification 39B52, 39B72, 39B82.