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- W1989341772 abstract "We consider the functional equation<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mi>f</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>a</mml:mi><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mi>y</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo>+</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>a</mml:mi><mml:mi>x</mml:mi><mml:mo>-</mml:mo><mml:mi>y</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo>-</mml:mo><mml:mi>a</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>a</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=false>)</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo>-</mml:mo><mml:mi>a</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>a</mml:mi><mml:mo>-</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=false>)</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mo>-</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo>-</mml:mo><mml:mo stretchy=false>[</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>y</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo>+</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mo>-</mml:mo><mml:mi>y</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo stretchy=false>]</mml:mo></mml:math><mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mo>+</mml:mo><mml:mi>k</mml:mi><mml:mo stretchy=false>[</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mi>y</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo>+</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>x</mml:mi><mml:mo>-</mml:mo><mml:mi>y</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo>-</mml:mo><mml:mn>2</mml:mn><mml:mi>f</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo>-</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>y</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo>-</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mo>-</mml:mo><mml:mi>y</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo stretchy=false>]</mml:mo><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:math>for a fixed rational number<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:mi>a</mml:mi></mml:mrow></mml:math>with<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mi>a</mml:mi><mml:mo>≠</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn>1,0</mml:mn></mml:math>and a fixed real number<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M5><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:math>. We study the solution of the equation between linear spaces and prove the generalized Hyers-Ulam stability for it when the target space is a fuzzy normed space." @default.
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- W1989341772 title "Fuzzy Stability of the Generalized Version of Drygas Functional Equation" @default.
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- W1989341772 doi "https://doi.org/10.1155/2014/514192" @default.
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