C0-semigroups of linear operators on some ultrametric Banach spaces by Toka Diagana

“…C0-semigroups of linear operators play a crucial role in the solvability of evolution equations in the classical context. …”
Get full text

Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C. by Irena Lasiecka, Roberto Triggiani

Subjects: “…Thermo-elastic semigroups…”
Get full text

On Eigenvalues of the Generator of a C0-Semigroup Appearing in Queueing Theory by Geni Gupur

“…Our results imply that the essential growth bound of the C0-semigroup is 0 and, therefore, that the semigroup is not quasi-compact. …”
Get full text

Retracted: (m, n)-Ideals in Semigroups Based on Int-Soft Sets by Journal of Mathematics

Get full text

Multipliers on L(S), L(S)**, and LUC(S)* for a locally compact topological semigroup by Alireza Medghalchi

“…We show that a left cancellative semigroup S is left amenable if and only if there is a nonzero compact (or weakly compact) multiplier on L(S)**. …”
Get full text

A simplification of D'Alarcao's idempotent separating extensions of inverse semigroups by Constance C. Edwards

Subjects: “…inverse semigroup and idempotent-separating extension.…”
Get full text

A spectral mapping theorem for semigroups solving PDEs with nonautonomous past by Genni Fragnelli

Get full text

Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) Spaces by Zhi-bin Liu, Yi-shen Chen, Xue-song Li, Yi-bin Xiao

“…This paper is devoted to the convergence of the implicit Ishikawa iteration processes for approximating a common fixed point of nonexpansive semigroup in CAT(0) spaces. We obtain the Δ-convergence results of the implicit Ishikawa iteration sequences for a family of nonexpansive mappings in CAT(0) spaces. …”
Get full text

An Application of Sombor Index over a Special Class of Semigroup Graph by Seda Oğuz Ünal

“…In this study, the Sombor index of monogenic semigroup graphs, which is an important class of algebraic structures, is calculated.…”
Get full text

Multiplicative Perturbations of Convoluted C-Cosine Functions and Convoluted C-Semigroups by Fang Li, Huiwen Wang, Jun Zhang

“…We obtain the multiplicative perturbation theorems for convoluted C-cosine functions (resp., convoluted C-semigroups) and n-times integrated C-cosine functions (resp., n-times integrated C-semigroups) for n∈ℕ. …”
Get full text

On Pseudo-contractibility and Ultra Central Approximate Identity of Some Semigroup Algebras by Amir Sahami, Seyedeh Fatemeh Shariati

“…Also, we prove that for a left cancellative regular semigroup S, ℓ1S∗∗ has an ultra central approximate identity if and only if S is a group. …”
Get full text

A Hesitant Fuzzy Set Approach to Ideal Theory in Γ-Semigroups by Mohammad Y. Abbasi, Aakif F. Talee, Sabahat A. Khan, Kostaq Hila

“…We introduce the hesitant fuzzy left (resp., right and two-sided) ideal, hesitant fuzzy bi-ideal, and hesitant fuzzy interior ideal in Γ-semigroup and study some properties of them. Finally, a characterization of a simple Γ-semigroup by means of a hesitant fuzzy simple Γ-semigroup is obtained.…”
Get full text

Rough Fuzzy Ideals Induced by Set-Valued Homomorphism in Ternary Semigroups by Shahida Bashir, Muhammad Aslam, Rabia Mazhar, Junaid Asghar

“…In this research, approximations for fuzzy prime ideals in ternary semigroups are studied. It is proved that generalized lower approximations and generalized upper approximations of ∈,∈∨q-fuzzy prime (resp., semiprime) ideals of ternary semigroups are ∈,∈∨q-fuzzy prime (resp., semiprime) ideals. …”
Get full text

A new characterization of B-bounded semigroups with application to implicit evolution equations by Luisa Arlotti

“…Belleni Morante recently introduced and called B-bounded semigroups. We first determine all the properties possessed by a couple (A,B) of operators if they generate a B-bounded semigroup (Y(t))t≥0. …”
Get full text

A Note on Isomorphism Theorems for Semigroups of Order-Preserving Transformations with Restricted Range by Phichet Jitjankarn, Thitarie Rungratgasame

“…Finding necessary and sufficient conditions for isomorphism between two semigroups of order-preserving transformations over an infinite domain with restricted range was an open problem. …”
Get full text

Lagrangians, Gauge Functions, and Lie Groups for Semigroup of Second-Order Differential Equations by Z. E. Musielak, N. Davachi, M. Rosario-Franco

“…A set of linear second-order differential equations is converted into a semigroup, whose algebraic structure is used to generate novel equations. …”
Get full text

Approximation for the Hierarchical Constrained Variational Inequalities over the Fixed Points of Nonexpansive Semigroups by Li-Jun Zhu

“…The purpose of the present paper is to study the hierarchical constrained variational inequalities of finding a point x* such that x*∈Ω,〈(A-γf)x*-(I-B)Sx*,x-x*〉≥0,  ∀x∈Ω, where Ω is the set of the solutions of the following variational inequality: x*∈Ϝ,〈(A-S)x*,x-x*〉≥0,  ∀x∈Ϝ, where A,B are two strongly positive bounded linear operators, f is a ρ-contraction, S is a nonexpansive mapping, and Ϝ is the fixed points set of a nonexpansive semigroup {T(s)}s≥0. We present a double-net convergence hierarchical to some elements in Ϝ which solves the above hierarchical constrained variational inequalities.…”
Get full text

Magnifying Elements in Semigroups of Fixed Point Set Transformations Restricted by an Equivalence Relation by Thananya Kaewnoi, Ronnason Chinram, Montakarn Petapirak

“…For a nonempty subset S of X, we denote the semigroup of transformations restricted by an equivalence relation ρ fixing S pointwise by EFSX,ρ. …”
Get full text

Characterizations of Ordered Semigroups by New Type of Interval Valued Fuzzy Quasi-Ideals by Jian Tang, Xiangyun Xie, Yanfeng Luo

“…By using this new concept, we introduce the notion of interval valued (∈¯,∈¯∨qk~¯)-fuzzy quasi-ideals of ordered semigroups and study their related properties. In addition, we also introduce the concepts of prime and completely semiprime interval valued (∈¯,∈¯∨qk~¯)-fuzzy quasi-ideals of ordered semigroups and characterize bi-regular ordered semigroups in terms of completely semiprime interval valued (∈¯,∈¯∨qk~¯)-fuzzy quasi-ideals. …”
Get full text

Relationship between ideals of BCI-algebras and order ideals of its adjoint semigroup by Michiro Kondo

“…We consider the relationship between ideals of a BCI-algebra and order ideals of its adjoint semigroup. We show that (1) if I is an ideal, then I=M−1(M(I)), (2) M(M−1(J)) is the order ideal generated by J∩R(X), (3) if X is a BCK-algebra, then J=M(M−1(J)) for any order ideal J of X, thus, for each BCK-algebra X there is a one-to-one correspondence between the set ℐ(X) of all ideals of X and the set 𝒪(X) of all order ideals of it, and (4) the order M(M−1(J)) is an order ideal if and only if M−1(J) is an ideal. …”
Get full text