Exponential dichotomy for evolution families on the real line by Adina Luminiţa Sasu

“…As applications we obtain characterizations for uniform exponential dichotomy of semigroups.…”
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On Pure Hyperradical in Semihypergroups by Kostaq Hila, Krisanthi Naka

“…This paper deals with a class of algebraic hyperstructures called semihypergroups, which are a generalization of semigroups. In this paper, we introduce pure hyperradical of a hyperideal in a semihypergroup with zero element. …”
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Some Indices over a New Algebraic Graph by Nurten Urlu Özalan

“…In this paper, we first introduce a new graph ΓN over an extension N of semigroups and after that we study and characterize the spectral properties such as the diameter, girth, maximum and minimum degrees, domination number, chromatic number, clique number, degree sequence, irregularity index, and also perfectness for ΓN. …”
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The Monoid Consisting of Kuratowski Operations by Szymon Plewik, Marta Walczyńska

“…Techniques, using only paper and pencil, to point out all semigroups and its isomorphism types are applied. Some results apply only to topology, and one cannot bring them out, using only properties of the complement and a closure-like operation. …”
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Ideal extensions of ordered sets by Niovi Kehayopulu

“…The ideal extensions of semigroups—without order—have been first considered by Clifford (1950). …”
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Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius Corrections by Fariha Elsrrawi, Harumi Hattori

“…Our techniques of proof are based on the existence of local solution by semigroups theory and a priori estimate.…”
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Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space by Gang Li, Jong Kyu Kim

“…We introduce the notion of asymptotically almost nonexpansive curves which include almost-orbits of commutative semigroups of asymptotically nonexpansive type mappings and study the asymptotic behavior and prove nonlinear ergodic theorems for such curves. …”
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A New Iterative Method for Equilibrium Problems and Fixed Point Problems by Abdul Latif, Mohammad Eslamian

“…Introducing a new iterative method, we study the existence of a common element of the set of solutions of equilibrium problems for a family of monotone, Lipschitz-type continuous mappings and the sets of fixed points of two nonexpansive semigroups in a real Hilbert space. We establish strong convergence theorems of the new iterative method for the solution of the variational inequality problem which is the optimality condition for the minimization problem. …”
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The Concentration Function Problem for Locally Compact Groups Revisited: Nondissipating Space-Time Random Walks, -Decomposable Laws, and Their Continuous Time Analogues by Wilfried Hazod

“…It is closely related to discrete relatively compact M- or skew convolution semigroups and corresponding space-time random walks, and to -decomposable laws, respectively, where denotes an automorphism. …”
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Multipoint BVP for the Langevin Equation under φ-Hilfer Fractional Operator by Mohammed A. Almalahi, Satish K. Panchal, Fahd Jarad

“…Next, we investigate and develop sufficient conditions for the existence and uniqueness of solutions by means of semigroups of operator approach and the Krasnoselskii fixed point theorems as well as Banach contraction principle. …”
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Asymptotic behavior of a delayed stochastic logistic model with impulsive perturbations by Sanling Yuan, Xuehui Ji, Huaiping Zhu

“…By using the theory of integral Markov semigroups, we further derive sufficient conditions for the existence of the stationary distribution of the system. …”
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A New Computational Technique for Common Solutions between Systems of Generalized Mixed Equilibrium and Fixed Point Problems by Pongsakorn Sunthrayuth, Poom Kumam

“…We introduce a new iterative algorithm for finding a common element of a fixed point problem of amenable semigroups of nonexpansive mappings, the set solutions of a system of a general system of generalized equilibria in a real Hilbert space. …”
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Strichartz estimates for geophysical fluid equations using Fourier restriction theory by Gentil, Corentin, Tabary, Côme

“…We prove Strichartz estimates for the semigroups associated to stratified and/or rotating inviscid geophysical fluids using Fourier restriction theory. …”
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On a Functional Equation Associated with (a,k)-Regularized Resolvent Families by Carlos Lizama, Felipe Poblete

“…In particular, our study produces new functional equations that characterize semigroups, cosine operator families, and a class of operator families in between them that, in turn, are in one to one correspondence with the well-posedness of abstract fractional Cauchy problems.…”
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The work of Glenn F. Webb by William E. Fitzgibbon

“…He is a Fellow of the American Mathematical Society.Glenn's scientific career chronicles an evolution of scientific workthat began with his interest in nonlinear semigroup theory and leads up tohis current activity in biomedical mathematics. …”
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A Novel Concept of Fuzzy Subsemigroup (Ideal) by Yu-Hong Che, Qi Liu

“…This paper focuses on a generalized definition of fuzzy subsemigroup (ideal) on semigroup. Let L be a completely distributive lattice; we introduce the definition of L-fuzzy ideal and also the novel concept of subsemigroup (ideal) on semigroup. …”
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Dirichlet Forms Constructed from Annihilation Operators on Bernoulli Functionals by Caishi Wang, Beiping Wang

“…Finally, we consider an interesting semigroup of operators associated with w on L2-space of Bernoulli functionals, which we call the w-Ornstein-Uhlenbeck semigroup, and, by using the Dirichlet form, Ew we show that the w-Ornstein-Uhlenbeck semigroup is a Markov semigroup.…”
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Positive Solutions for the Initial Value Problem of Fractional Evolution Equations by He Yang, Yue Liang

“…Some existence theorems are obtained under the case that the analytic semigroup is compact and noncompact, respectively. …”
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The Cuntz Comparison in the Standard C*-Algebra by Xiaochun Fang, Nung-Sing Sze, Xiao-Ming Xu

“…The Cuntz comparison, introduced by Cuntz in early 1978, associates each C*-algebra with an abelian semigroup which is an invariant for the classification of the nuclear C*-algebras and called the Cuntz semigroup. …”
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Central Sets Theorem Near of an Idempotent in Wap-Compactification by Ali Pashapournia, Mohammad Akbari Tootkaboni, Davood Ebrahimi Bagha

“…The aim of this paper is to express and then prove some locally combinatorial concepts near a virtual idempotent by considering the wap-compactification of a semitopological semigroup S. The wap-compactification of a semitopological semigroup S, denoted by Sw, is the collection of all ultrafilters near η∈Sw that forms a compact subsemigroup of βSd, where Sd denotes S as discrete space.…”
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