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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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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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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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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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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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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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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