Stability Analysis of a New Class of Series Type Additive Functional Equation in Banach Spaces: Direct and Fixed Point Techniques

نویسندگان

چکیده

In this paper, the authors introduce two new classes of series type additive functional Equations (FEs). The first class equations is derived from sum squares alternative and second one obtained cubes series. solution FE investigated using principle mathematical induction. beauty method lies in fact that it satisfies property as well Banach spaces are widely-used very helpful to analyse stability results various FEs. space conditions have been applied established for both equations. Furthermore, Contraction fixed point theorem used derive a technique (FPT). relationship between FEs through induction Application section, which adds novelty results.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11040887