Generalized Multiquartic Mappings, Stability, and Nonstability
نویسندگان
چکیده
In this article, a generalized form of n -quartic mappings is introduced. The structure such studied, and in fact, it shown that every multiquartic mapping can be described as an equation, namely, the (generalized) functional equation. Moreover, by applying two fixed point techniques, some results corresponding to known stability outcomes including Hyers, Rassias, Găvruţa stabilities are presented. Using characterization result, appropriate counterexample supplied invalidate case singularity.
منابع مشابه
Convergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings
The purpose of this paper is to study the convergence and the almost sure T-stability of the modied SP-type random iterative algorithm in a separable Banach spaces. The Bochner in-tegrability of andom xed points of this kind of random operators, the convergence and the almost sure T-stability for this kind of generalized asymptotically quasi-nonexpansive random mappings are obtained. Our result...
متن کاملStability Problems for Generalized Additive Mappings and Euler-lagrange Type Mappings
We introduce a generalized additivity of a mapping between Banach spaces and establish the Ulam type stability problem for a generalized additive mapping. The obtained results are somewhat different from the Ulam type stability result of Euler-Lagrange type mappings obtained by H. -M. Kim, K. -W. Jun and J. M. Rassias.
متن کاملCauchy-Rassias Stability of linear Mappings in Banach Modules Associated with a Generalized Jensen Type Mapping
متن کامل
convergence and stability of modified random sp-iteration for a generalized asymptotically quasi-nonexpansive mappings
the purpose of this paper is to study the convergence and the almost sure t-stability of the modied sp-type random iterative algorithm in a separable banach spaces. the bochner in-tegrability of andom xed points of this kind of random operators, the convergence and the almost sure t-stability for this kind of generalized asymptotically quasi-nonexpansive random mappings are obtained. our resu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematics
سال: 2022
ISSN: ['2314-4785', '2314-4629']
DOI: https://doi.org/10.1155/2022/2784111