Intuitionistic Fuzzy Stability of Functional Equations Associated with Inner Product Spaces

Zhihua Wang and Themistocles M. Rassias

Abstract and Applied Analysis, 2011, vol. 2011, 1-19

Abstract:

In intuitionistic fuzzy normed spaces, we investigate some stability results for the functional equation ∑ 𠑛 𠑖 = 1 𠑓 ( 𠑥 𠑖 ∑ − ( 1 / 𠑛 ) 𠑛 𠑗 = 1 𠑥 𠑗 ∑ ) = 𠑛 𠑖 = 1 𠑓 ( 𠑥 𠑖 ∑ ) − 𠑛 𠑓 ( ( 1 / 𠑛 ) 𠑛 𠑖 = 1 𠑥 𠑖 ) which is said to be a functional equation associated with inner products space.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:456182

DOI: 10.1155/2011/456182

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