Intuitionistic Fuzzy Stability of Functional Equations Associated with Inner Product Spaces
In intuitionistic fuzzy normed spaces, we investigate some stability results for the functional equation ∑𝑛𝑖=1𝑓(𝑥𝑖∑−(1/𝑛)𝑛𝑗=1𝑥𝑗∑)=𝑛𝑖=1𝑓(𝑥𝑖∑)−𝑛𝑓((1/𝑛)𝑛𝑖=1𝑥𝑖) which is said to be a functional equation associated with inner products space....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/456182 |
| Summary: | In intuitionistic fuzzy normed spaces, we investigate some stability results for the functional equation ∑𝑛𝑖=1𝑓(𝑥𝑖∑−(1/𝑛)𝑛𝑗=1𝑥𝑗∑)=𝑛𝑖=1𝑓(𝑥𝑖∑)−𝑛𝑓((1/𝑛)𝑛𝑖=1𝑥𝑖) which is said to be a functional equation associated with inner products space. |
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| ISSN: | 1085-3375 1687-0409 |