Showing papers on "Isotone published in 2021"
TL;DR: In this paper, the notion of a multiplier on AT-algebra and its properties are investigated and the notions of the kernel and the image of multipliers are defined, and the Left and Right derivations of the multiplier are obtained.
Abstract: In this work, we present the notion of a multiplier on AT-algebra and investigate several properties. Also, some theorems and examples are discussed. The notions of the kernel and the image of multipliers are defined. After that, some propositions related to isotone and regular multipliers are proved. Finally, the Left and the Right derivations of the multiplier are obtained
2 citations
TL;DR: It is proved that two good ideal multiplicative derivations coincide if and only if their corresponding sets of fixed points coincide and there exists an order preserving bijection between the fixed points sets of the two operators.
1 citations
02 Feb 2021
TL;DR: In this article, the authors studied the existence and uniqueness of fixed point for isotone mappings of any number of arguments under contraction mapping principle on a complete metric space endowed with a partial order.
Abstract: The main aim of this article is to study the existence and uniqueness of fixed point for isotone mappings of any number of arguments under contraction mapping principle on a complete metric space endowed with a partial order. As an application of our result we study the existence and uniqueness of the solution to an integral equation. The results we obtain generalize, extend and unify several classical and very recent related results in the literature in metric spaces.
DOI•
01 Jan 2021
TL;DR: In this paper, the concept of generalized right f -derivation associated with a derivation d and a function f in Γ-incline algebras was introduced.
Abstract: In this paper, we introduce the concept of a generalized right f -derivation associated with a derivation d and a function f in Γ-incline algebras and give some properties of Γ-incline algebras. Also, the concept of d-ideal is introduced in a Γ-incline algebra with respect to right f -derivations.