Quadratic functional equations of Pexider type [PDF]
International Journal of Mathematics and Mathematical Sciences, 2000 First, the quadratic functional equation of Pexider type will be solved. By applying this result, we will also solve some functional equations of Pexider type which are closely associated with the quadratic equation.
Soon-Mo Jung
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Pexider functional equations-their fuzzy analogs [PDF]
International Journal of Mathematics and Mathematical Sciences, 1996 In this paper we shall interpret and study the Pexider functional equations in the context of Fuzzy Set Theory. In particular, we shall present a general procedure for obtaining the fuzzy analog of the Pexider functional equations and then solve the ...
Elias Deeba +2 more
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A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with Involution [PDF]
Journal of Inequalities and Applications, 2010 We apply the fixed point method to investigate the Hyers-Ulam stability of the Pexider functional equation , for all , where E is a normed space and is an involution.
Rassias JM +3 more
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On the stability of pexider functional equation in non-archimedean spaces [PDF]
Journal of Inequalities and Applications, 2011 In this paper, the Hyers-Ulam stability of the Pexider functional equation in a non-Archimedean space is investigated, where σ is an involution in the domain of the given mapping f.
Vaezpour Seiyed +2 more
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Superstability of Some Pexider-Type Functional Equation [PDF]
Journal of Inequalities and Applications, 2010 We will investigate the superstability of the sine functional equation from the following Pexider-type functional equation ( ), which can be considered the mixed functional equation of the sine and cosine functions, the mixed functional equation of the
Kim GwangHui
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Generalized Hyers-Ulam Stability of the Pexider Functional Equation
Mathematics, 2019 In this paper, we investigate the generalized Hyers-Ulam stability of the Pexider functional equation f ( x + y , z + w ) = g ( x , z ) + h ( y , w ) .
Yang-Hi Lee, Gwang-Hui Kim
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Asymptotic Stability of the Pexider–Cauchy Functional Equation in Non-Archimedean Spaces
Mathematics, 2021 In this paper, we investigated the asymptotic stability behaviour of the Pexider–Cauchy functional equation in non-Archimedean spaces. We also showed that, under some conditions, if ∥f(x+y)−g(x)−h(y)∥⩽ε, then f,g and h can be approximated by additive ...
Hamid Gharib +3 more
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On the stability of 2-dimensional Pexider quadratic functional equation in non-Archimedean spaces [PDF]
Journal of Mahani Mathematical Research, 2022 In this papers we investigate the Hyers-Ulam stability of the following $2$-dimensional Pexider quadratic functional equation $$ f(x+y,z+w)+f(x-y,z-w)=2g(x,z)+2g(y,w)$$ in non-Archimedean normed spaces.
Mohammad Ali Abolfathi
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On the Stability of Mixed Additive--Quadratic and Additive--Drygas Functional Equations [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, we have improved some of the results in [C. Choi and B. Lee, Stability of Mixed Additive-Quadratic and Additive--Drygas Functional Equations. Results Math. 75 no. 1 (2020), Paper No. 38].
Abbas Najati +2 more
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The stability of pexider type functional equation in intuitionistic fuzzy banach spaces via fixed point techique [PDF]
Journal of Hyperstructures, 2015 The object of the present paper is to appraise generalization of the Hyers-Ulam-Rassias stability theorem for Pexider type functional equation f ( 2 x + y ) − f ( x + 2 y ) = 3 g ( x ) − 3 h ( y ) ( 1 ) in intuitionistic fuzzy Banach spaces and stability
P. Mondal +2 more
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