Stability of an ð ‘› -Dimensional Mixed-Type Additive and Quadratic Functional Equation in Random Normed Spaces

Yang-Hi Lee and Soon-Mo Jung

Journal of Applied Mathematics, 2012, vol. 2012, 1-15

Abstract:

We investigate the stability problems for the 𠑛 -dimensional mixed-type additive and quadratic functional equation ∑ 2 𠑓 ( 𠑛 𠑗 = 1 𠑥 𠑗 ∑ ) + 1 ≤ 𠑖 , 𠑗 ≤ 𠑛 , 𠑖 ≠𠑗 𠑓 ( 𠑥 𠑖 − 𠑥 𠑗 ∑ ) = ( 𠑛 + 1 ) 𠑛 𠑗 = 1 𠑓 ( 𠑥 𠑗 ∑ ) + ( 𠑛 − 1 ) 𠑛 𠑗 = 1 𠑓 ( − 𠑥 𠑗 ) in random normed spaces by applying the fixed point method.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:547865

DOI: 10.1155/2012/547865

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