Results 1 to 10 of about 4,400 (261)
Characterization and Stability of Multimixed Additive-Quartic Mappings: A Fixed Point Application
Journal of Function Spaces, 2021 In this article, we introduce the multi-additive-quartic and the multimixed additive-quartic mappings. We also describe and characterize the structure of such mappings. In other words, we unify the system of functional equations defining a multi-additive-
Abasalt Bodaghi +3 more
doaj +1 more source
Full-deautonomisation of a class of second-order mappings in ancillary form [PDF]
Open Communications in Nonlinear Mathematical Physics, 2023 We present an application of the full-deautonomisation method to a class of secondorder mappings which, using an ancillary variable, can be cast into a form that greatly facilitates the study of their singularities.
Basil Grammaticos, Ralph Willox
doaj +1 more source
Generalized Stability Additive λ-Functional Inequalities With 3k-Variable in α-Homogeneous F-Spaces
International Journal of Analysis and Applications, 2022 In this paper, we study to solve two additive λ-functional inequalities with 3k-variables in α-homogeneous F spaces. Then we will show that the solutions of the first and second inequalities are additive mappings.
Ly Van An
doaj +1 more source
The Stability Analysis of A-Quartic Functional Equation
Mathematics, 2021 In this paper, we study the general solution of the functional equation, which is derived from additive–quartic mappings. In addition, we establish the generalized Hyers–Ulam stability of the additive–quartic functional equation in Banach spaces by using
Chinnaappu Muthamilarasi +5 more
doaj +1 more source
On the Stability of Generalized Additive Functional Inequalities in Banach Spaces
Journal of Inequalities and Applications, 2008 We study the following generalized additive functional inequality , associated with linear mappings in Banach spaces. Moreover, we prove the Hyers-Ulam-Rassias stability of the above generalized additive functional inequality, associated with linear ...
Park Choonkil, Shin DongYun, Lee JungRye
doaj +2 more sources
Identities on additive mappings in semiprime rings
Математичні Студії, 2023 Consider a ring $R$, which is semiprime and also having $k$-torsion freeness. If $F, d : R\to R$ are two additive maps fulfilling the algebraic identity $$F(x^{n+m})=F(x^m) x^n+ x^m d(x^n)$$ for each $x$ in $R.$ Then $F$ will be a generalized derivation ...
A. Z. Ansari, N. Rehman
doaj +1 more source
Hyers Stability in Generalized Intuitionistic P-Pseudo Fuzzy 2-Normed Spaces
Axioms, 2022 In this article, we defined the generalized intuitionistic P-pseudo fuzzy 2-normed spaces and investigated the Hyers stability of m-mappings in this space. The m-mappings are interesting functional equations; these functional equations are additive for m
Ehsan Movahednia, Manuel De la Sen
doaj +1 more source
Journal of Mathematics, 2021 The aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square-zero elements.
Xiuhai Fei, Haifang Zhang
doaj +1 more source
A class of nonlinear centralizers on nest algebras [PDF]
Journal of Hebei University of Science and TechnologyIn order to extend the basic theory of operator algebras, the conditions for a class of nonlinear mappings to become additive centralizers on nest algebras were studied.
Yude JI, Bing WU, Cui YANG
doaj +1 more source
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
doaj +1 more source