Results 61 to 70 of about 188 (178)

Representation of Multilinear Mappings and s‐Functional Inequality

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the current research, we introduce the multilinear mappings and represent the multilinear mappings as a unified equation. Moreover, by applying the known direct (Hyers) manner, we establish the stability (in the sense of Hyers, Rassias, and Găvruţa) of the multilinear mappings, associated with the single multiadditive functional inequality.
Abasalt Bodaghi, Pramita Mishra
wiley   +1 more source

On the Structural Behavior of Multiplicative (Generalized)‐Derivations via d‐Algebra Structures

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the context of a d‐algebra structure (℧, ∗, 0), this paper aims to introduce the concept of a multiplicative (generalized)‐derivation G associated with a self‐map Ξ (not necessarily a derivation). Based on this concept, the operations ∧ and composition ° will be defined, and several interesting related properties will be investigated, such as ...
Hicham Saber, Zakia Z. Al-Amery, Radwan M. Al-Omary, Khaled Aldwoah, Ria Egami, Pramita Mishra   +5 more
wiley   +1 more source

Analysis of the Wiener Index of Rough Annihilator Graph Over Rough Semirings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
An effective analytical and visual tool for comprehending the annihilator relationships inside a rough semiring is its annihilator graph. This paper introduces and investigates rough annihilator graph, denoted RAG(T), of the commutative rough semiring T.
Sudha B., Praba B., Pramita Mishra
wiley   +1 more source

Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Sagir, Abdu Qaid Alameri, Pramita Mishra   +5 more
wiley   +1 more source

On Weakly S‐Primary Hyperideals in a Krasner (m, n)‐Hyperring

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Over the years, numerous extensions of the concept of prime hyperideals in a hyperring have been presented by utilizing different algebraic structures associated with the hyperring. Among these, weakly primary hyperideals and S‐primary hyperideals have been studied recently.
Mahdi Anbarloei, Pramita Mishra
wiley   +1 more source

Commutative Semigroups Which Are Semigroup Amalgamation Bases

Journal of Algebra, 2001
A semigroup amalgam \([\{T_k\}_{i\in I};S]\) is an indexed family of semigroups \(T_i\) containing a semigroup \(S\) such that \(T_i\cap T_j=S\) for all distinct \(i,j\in I\). A semigroup \(S\) is called a semigroup amalgamation base (simply, amalgamation base) if any semigroup amalgam \([\{T_i\}_{i\in I};S]\) is embedded into a semigroup. A semigroup \
openaire   +2 more sources

φ−Hilfer Fractional Cauchy Problems with Almost Sectorial and Lie Bracket Operators in Banach Algebras

Fractal and Fractional
In the theory of Banach algebras, we use the Schauder fixed-point theorem to obtain some results that concern the existence property for mild solutions of fractional Cauchy problems that involve the Lie bracket operator, the almost sectorial operator ...
Faten H. Damag, Amin Saif, Adem Kiliçman   +2 more
doaj   +1 more source

On Weakly Commutative Ordered Semigroups

Semigroup Forum, 1998
A partially ordered semigroup \((S, \cdot, \leq)\) is ``weakly commutative'' if for all \(a,b \in S\) there exist \(x\in S\) and a nonnegative integer \(n\) such that \((ab)^n \leq bxa\). It is ``archimedean'' if for all \(a,b\in S\) there exist \(x,y\in S\) and \(m\) such that \(a^m\leq xby\). It was shown by \textit{N.
Kehayopulu, N, Tsingelis, M
openaire   +2 more sources

Common fixed point theorems for left reversible and near-commutative semigroups and applications

Journal of Inequalities and Applications, 2005
We prove some common fixed point theorems for left reversible and near-commutative semigroups in compact and complete metric spaces, respectively.
Kang Shin Min, Liu Zeqing
doaj  

On a Functional Equation Associated with (a,k)-Regularized Resolvent Families

Abstract and Applied Analysis, 2012
Let a∈Lloc1(ℝ+) and k∈C(ℝ+) be given. In this paper, we study the functional equation R(s)(a*R)(t)-(a*R)(s)R(t)=k(s)(a*R)(t)-k(t)(a*R)(s), for bounded operator valued functions R(t) defined on the positive real line ℝ+.
Carlos Lizama, Felipe Poblete
doaj   +1 more source