Fixed Point Technique: Stability Analysis of Quadratic Functional Equation in Various Quasi-Banach Spaces

Kandhasamy Tamilvanan, Faruk Özger, S. A. Mohiuddine, Naeem Ahmad and Masho Jima Kabeto

Journal of Mathematics, 2025, vol. 2025, 1-18

Abstract: In this present work, we derive the solution of a quadratic functional equation and investigate the Ulam stability of this equation in Banach spaces using fixed point and direct techniques. Mainly, we examine the stability results in quasi-β-Banach spaces and quasi-fuzzy β-Banach spaces by means of direct method as well as quasi-Banach spaces by means of alternative fixed point theorem in the sense of generalized b-metric spaces. To further establish the instability of a single case, an appropriate counterexample is also provided.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6689441

DOI: 10.1155/jom/6689441

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