The Experts below are selected from a list of 3981 Experts worldwide ranked by ideXlab platform
Choonkil Park - One of the best experts on this subject based on the ideXlab platform.
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Fixed Point Method for set-valued functional equations
Journal of Fixed Point Theory and Applications, 2017Co-Authors: Choonkil ParkAbstract:In this paper, we introduce a set-valued cubic functional equation and a set-valued quartic functional equation and prove the Hyers-Ulam stability of the set-valued cubic functional equation and the set-valued quartic functional equation by using the Fixed Point Method.
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Functional equations in matrix normed spaces
Proceedings - Mathematical Sciences, 2015Co-Authors: Jung Rye Lee, Choonkil Park, Dong Yun ShinAbstract:Using the Fixed Point Method, we prove the Hyers–Ulam stability of the Cauchy additive functional equation and the quadratic functional equation in matrix normed spaces.
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Random homomorphisms and random derivations in random normed algebras via Fixed Point Method
Journal of Inequalities and Applications, 2012Co-Authors: Choonkil Park, Madjid Eshaghi Gordji, Reza SaadatiAbstract:Using the Fixed Point Method, we prove the Hyers-Ulam stability of the Cauchy additive functional inequality and of the Cauchy-Jensen additive functional inequality in random normed spaces.
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Homomorphisms and derivations in C ∗ -ternary algebras via Fixed Point Method
Advances in Difference Equations, 2012Co-Authors: H. M. Kenari, Reza Saadati, Choonkil ParkAbstract:Park (J. Math. Phys. 47:103512, 2006) proved the Hyers-Ulam stability of homomorphisms in -ternary algebras and of derivations on -ternary algebras for the following generalized Cauchy-Jensen additive mapping: In this paper, we improve and generalize some results concerning this functional equation via the Fixed-Point Method. MSC:39B52, 17A40, 46B03, 47Jxx.
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stability of a generalized quadratic functional equation in various spaces a Fixed Point alternative approach
Advances in Difference Equations, 2011Co-Authors: Hassan Azadi Kenary, Choonkil Park, H Rezaei, Sun Young JangAbstract:Using the Fixed Point Method, we prove the Hyers-Ulam stability of the following quadratic functional equation
Yang-hi Lee - One of the best experts on this subject based on the ideXlab platform.
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ON THE STABILITY OF THE QUADRATIC-ADDITIVE FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA Fixed Point Method
Journal of the Chungcheong Mathematical Society, 2012Co-Authors: Sun Sook Jin, Yang-hi LeeAbstract:In this paper, we prove the stability in random normed spaces via Fixed Point Method for the functional equation .
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STABILITY FOR MIXED TYPE OF ADDITIVE AND QUADRATIC FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA Fixed Point Method
International journal of pure and applied mathematics, 2012Co-Authors: Yang-hi Lee, Won-gil Park, Ick-soon ChangAbstract:In this paper, we prove the stability in random normed space via Fixed Point Method for the following additive and quadratic type functional equation
Krzysztof Cieplinski - One of the best experts on this subject based on the ideXlab platform.
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on an equation characterizing multi jensen quadratic mappings and its hyers ulam stability via a Fixed Point Method
Journal of Fixed Point Theory and Applications, 2016Co-Authors: Anna Bahyrycz, Krzysztof CieplinskiAbstract:In this paper, we unify the system of functional equations defining a multi-Jensen-quadratic mapping to obtain a single equation. We also prove, using the Fixed Point Method, the generalized Hyers–Ulam stability of this equation both in Banach spaces and in complete non-Archimedean normed spaces.
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On an equation characterizing multi-Jensen-quadratic mappings and its Hyers–Ulam stability via a Fixed Point Method
Journal of Fixed Point Theory and Applications, 2016Co-Authors: Anna Bahyrycz, Krzysztof CieplinskiAbstract:In this paper, we unify the system of functional equations defining a multi-Jensen-quadratic mapping to obtain a single equation. We also prove, using the Fixed Point Method, the generalized Hyers–Ulam stability of this equation both in Banach spaces and in complete non-Archimedean normed spaces.
Peinan Zhong - One of the best experts on this subject based on the ideXlab platform.
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Fixed Point fluid structure interaction analysis based on geometrically exact approach
Scientific Reports, 2020Co-Authors: Xueyuan Nie, Guowei Yang, Peinan ZhongAbstract:The fluid structure interaction analysis for structures exhibiting large deformations is carried out by using a strong coupling Method, in which a Fixed Point Method with Aitken’s dynamic relaxation is employed to accelerate convergence of the coupling iteration, and geometrically exact beam approach initiated by Simo is adopted to simulate the nonlinear flexible beam models. An improved implicit time integration algorithm is given to improve the computation accuracy of structural dynamics. To verify the validity of the Fixed-Point Method in the compressible flows which is usually used in incompressible fluid, it is applied for flutter analysis of AGARD 445.6 wing in the transonic regime. The case of flow-induced vibration of a flexible beam demonstrates that the approach based on geometrically exact beam theory is suitable for the fluid structure interaction analysis and the Fixed-Point Method with Aitken’s relaxation is of great efficiency and robustness in the FSI computation.
Reza Saadati - One of the best experts on this subject based on the ideXlab platform.
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Approximate homomorphisms and derivations in proper JCQ∗-triples via a Fixed Point Method
Expositiones Mathematicae, 2013Co-Authors: Reza Saadati, Ghadir SadeghiAbstract:Abstract In this paper, we investigate homomorphisms and derivations in proper J C Q ∗ -triples with the following functional equation: 1 k f ( k x + k y + k z ) = f ( x ) + f ( y ) + f ( z ) for a Fixed positive integer k . We moreover prove the generalized Hyers–Ulam stability of homomorphisms in proper J C Q ∗ -triples and of derivations on proper J C Q ∗ -triples via a Fixed Point Method.
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Approximation of homomorphisms and derivations on Lie C∗-algebras via Fixed Point Method
Journal of Inequalities and Applications, 2013Co-Authors: Yeol Je Cho, Reza Saadati, Young-oh YangAbstract:In this paper, using Fixed Point Methods, we prove the generalized Hyers-Ulam stability of homomorphisms in C ∗ -algebras and Lie C ∗ -algebras and of derivations on C ∗ -algebras and Lie C ∗ -algebras for an m-variable additive functional equation.
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Approximation of homomorphisms and derivations on non-Archimedean random Lie C ∗-algebras via Fixed Point Method
Journal of Inequalities and Applications, 2012Co-Authors: Jung Im Kang, Reza SaadatiAbstract:In this paper, using Fixed Point Methods, we prove the generalized Hyers-Ulam stability of random homomorphisms in random C * -algebras and random Lie C * -algebras and of derivations on non-Archimedean random C * -algebras and non-Archimedean random Lie C * -algebras for an m-variable additive functional equation. MSC: Primary 39A10; 39B52; 39B72; 46L05; 47H10; 46B03
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Random homomorphisms and random derivations in random normed algebras via Fixed Point Method
Journal of Inequalities and Applications, 2012Co-Authors: Choonkil Park, Madjid Eshaghi Gordji, Reza SaadatiAbstract:Using the Fixed Point Method, we prove the Hyers-Ulam stability of the Cauchy additive functional inequality and of the Cauchy-Jensen additive functional inequality in random normed spaces.
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Homomorphisms and derivations in C ∗ -ternary algebras via Fixed Point Method
Advances in Difference Equations, 2012Co-Authors: H. M. Kenari, Reza Saadati, Choonkil ParkAbstract:Park (J. Math. Phys. 47:103512, 2006) proved the Hyers-Ulam stability of homomorphisms in -ternary algebras and of derivations on -ternary algebras for the following generalized Cauchy-Jensen additive mapping: In this paper, we improve and generalize some results concerning this functional equation via the Fixed-Point Method. MSC:39B52, 17A40, 46B03, 47Jxx.