STABILITY OF THE GENERALIZED QUADRATIC AND QUARTIC TYPE FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN FUZZY NORMED SPACES | Zendy

Zhihua Wang | Zendy; Prasanna K. Sahoo | Zendy

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STABILITY OF THE GENERALIZED QUADRATIC AND QUARTIC TYPE FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN FUZZY NORMED SPACES

Author(s) -

Zhihua Wang,

Prasanna K. Sahoo

Publication year - 2016

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2016060

Subject(s) - mathematics , quartic function , quadratic equation , pure mathematics , functional equation , type (biology) , functional analysis , mathematical analysis , differential equation , ecology , biochemistry , chemistry , geometry , gene , biology

In this paper, we prove some stability results concerning the generalized quadratic and quartic type functional equation in the context of nonArchimedean fuzzy normed spaces in the spirit of Hyers-Ulam-Rassias. As applications, we establish some results of approximately generalized quadratic and quartic type mapping in non-Archimedean normed spaces. Also, we show that the assumption of the non-Archimedean absolute value of 2 is less than 1 cannot be omitted in our corollaries. The results improve and extend some recent results.

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