Hyperstability of Orthogonally 3-Lie Homomorphism: An Orthogonally Fixed Point Approach

نویسندگان

چکیده

In this chapter, by using the orthogonally fixed point method, we prove Hyers–Ulam stability and hyperstability of 3-Lie homomorphisms for additive ρ-functional equation in algebras. Indeed, investigate system functional equations $$\displaystyle \begin{array}{@{}rcl@{}} \left \{ \begin {array}{ll} f(x+y)-f(x)-f(y)= \rho (2f\left (\frac {x+y}{2}\right )+ f(x)+ f(y)\right ),\\ f([[u,v],w])=[[f(u),f(v)],f(w)] \end {array} \right . \end{array} $$ algebras where ρ≠1 is a real number.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Stability and hyperstability of orthogonally ring $*$-$n$-derivations and orthogonally ring $*$-$n$-homomorphisms on $C^*$-algebras

In this paper, we investigate the generalized Hyers-Ulam-Rassias and the Isac and Rassias-type stability of the conditional of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras. As a consequence of this, we prove the hyperstability of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras.

متن کامل

Orthogonally Persistent Object Systems1

Persistent Application Systems (PASs) are of increasing social and economic importance. They have the potential to be long-lived, concurrently accessed and consist of large bodies of data and programs. Typical examples of PASs are CAD/CAM systems, office automation, CASE tools, software engineering environments and patient-care support systems in hospitals. Orthogonally persistent object system...

متن کامل

Implementing Orthogonally Persistent Java

Orthogonally persistent Java combines the power of abstraction over persistence with Java’s rich programming environment. In this paper we report our experience in designing and implementing orthogonally persistent Java. Our design approach is anchored by the view that any system that brings together Java and orthogonal persistence should as far as possible avoid diluting the strengths of Java ...

متن کامل

Grasshopper: An Orthogonally Persistent Operating System

For ten years researchers have been attempting to construct programming language systems that support orthogonal persistence above conventional operating systems. This approach has proven to be poor; researchers invariably construct a complete abstract machine above the operating system with resulting loss of efficiency. This paper describes a new approach, the construction of an operating syst...

متن کامل

ذخیره 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: Springer optimization and its applications

سال: 2022

ISSN: ['1931-6828', '1931-6836']

DOI: https://doi.org/10.1007/978-3-030-84122-5_25