Quadratic -functional equations

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PARK CHOONKIL; Kim Sang Og

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2017 | Volume:8 | Issue:1 Page(s): 1-9

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Information Journal Paper

Title

Quadratic -functional equations

Author(s)

PARK CHOONKIL | Kim Sang Og | Issue Writer Certificate

Keywords

Hyers-Ulam stability

non-Archimedean normed space

direct method

xed point

quadratic

-functional equation

Abstract

In this paper, we solve the quadratic ;-functional equations 2f(x) + 2f(y) = f(x + y) + 􀀀 2f( (x 􀀀 y)); (0. 1) where is a ; xed non-Archimedean number with 􀀀 2 6= 3. Using the ; xed point method and the direct method, we prove the Hyers-Ulam stability of the functional equation (0. 1) in non-Archimedean Banach spaces.

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APA: Copy

PARK, CHOONKIL, & Kim, Sang Og. (2017). Quadratic -functional equations. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 8(1), 1-9. SID. https://sid.ir/paper/340770/en

Vancouver: Copy

PARK CHOONKIL, Kim Sang Og. Quadratic -functional equations. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2017;8(1):1-9. Available from: https://sid.ir/paper/340770/en

IEEE: Copy

CHOONKIL PARK, and Sang Og Kim, “Quadratic -functional equations,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 8, no. 1, pp. 1–9, 2017, [Online]. Available: https://sid.ir/paper/340770/en

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