This analysis compares the hyers-ulam-rassias stability of reciprocal functional equations, highlighting differences between the direct and fixed point methods.
Key Points
The study finds that both methods effectively address the stability of functional equations but vary in approach and outcomes.
Direct methods and fixed point techniques yield unique insights into the stability of reciprocal equations within fuzzy normed spaces.
The comparative analysis emphasizes the strengths and weaknesses of each method, particularly in relation to symmetry in the equations.
A modified reciprocal-type functional equation illustrates the applicability of Brzdȩk's fixed point method in non-Archimedean spaces.