Jensen’s and the quadratic functional equations with an endomorphism [PDF]
Proyecciones (Antofagasta), 2017 We determine the solutions f : S → H of the generalized Jensen’s functional equation f (x + y) + f (x + φ(y)) = 2f (x), x,y ∈ S,and the solutions f : S → H of the generalized quadratic functional equation f (x + y) + f (x + φ(y)) = 2f (x) + 2f (y), x,y ∈ S,where S is a commutative semigroup, H is an abelian group (2-torsion free in the first ...
Sabour, KH, Kabbaj, S
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Functional inequalities for generalized multi-quadratic mappings
Journal of Inequalities and Applications, 2021 In this article, we introduce some special several variables mappings which are quadratic in each variable and show that such mappings can be defined as a single equation that is the generalized multi-quadratic functional equation.
Abasalt Bodaghi
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Quadratic-Quartic Functional Equations in RN-Spaces [PDF]
Journal of Inequalities and Applications, 2009 11 ...
Choonkil Park +2 more
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On a functional equation connected with Rao’s quadratic entropy [PDF]
Proceedings of the American Mathematical Society, 1994 We determine the general solution of the functional equation fxy, \[ f (
Chung, J. K. +3 more
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Intuitionistic fuzzy stability of a quadratic and quartic functional equation [PDF]
, 2020 . In this paper, we prove the generalized Hyers-Ulam stability of a quadratic and quartic functional equation in intuitionistic fuzzy Banach ...
S Abbaszadeh
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ON THE STABILITY OF SOME QUADRATIC FUNCTIONAL EQUATION [PDF]
Journal of Nonlinear Sciences and Applications, 2011 Summary: We establish the general solution of the functional equation which is closely associated with the quadratic functional equation and we investigate the Hyers-Ulam-Rassias stability of this equation in Banach spaces.
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Stability of the pexiderized quadratic functional equation in paranormed spaces
, 2016 The aim of the present paper is to investigate the Hyers-Ulam stability of the Pexiderized quadratic functional equation, namely of f(x+y)+f(x-y)=21(x)+ 2h(y) in paranormed spaces.
Zhihua Wang, Prasanna Sahoo
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Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
wiley +1 more source
Random Banach Stability Of Additive- Quadratic Mixed Type Functional Equation [PDF]
In this work, we address the generalized Ulam-Hyers stability using fixed point and direct methods of an additive-quadratic mixed type functional equation in Random Banach ...
Sathya, E. +7 more
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Nonlinear stability of a quadratic functional equation with complex involution [PDF]
, 2011 summary:Let $X, Y$ be complex vector spaces. Recently, Park and Th.M. Rassias showed that if a mapping $f : X \rightarrow Y$ satisfies \begin{eqnarray} f(x+i y)+ f(x-iy) = 2 f(x) - 2f(y) \end{eqnarray} for all $x$, $y\in X$, then the mapping $f \colon X \
Saadati, Reza, Sadeghi, Ghadir
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