Fuzzy approximations of the mixed type additive-quadratic functional equation involving mean sum of functions of consecutive variables
Abstract
In this paper, the authors investigate the generalized Ulam-Hyers stability of a mixed type Additive Quadratic (AQ)-functional equation involving Mean sum of the functions of consecutive variables of the form ∑a=1mh(1a∑b=1avb)=12∑a=1m(∑b=am(1b)(h(va)−h(−va)))+12∑a=1m(∑b=am(1b2)(h(va)+h(−va)))+14∑a=2m(∑b=am(1b2)∑b=1a−1{ h(vb+va)+h(−vb−va)−h(vb−va)−h(−vb+va) }) in fuzzy Banach space using direct and fixed point methods.
Fields of Study & Subjects
Functional Equations Stability Results
Fuzzy Systems and Optimization
Advanced Algebra and Logic
Publication details
- Journal / source
- AIP conference proceedings
- Volume
- 3393
- Pages
- 020011–020011
- Publication date
- 1 January 2026
- Language
- EN