Common Fixed Points for Asymptotic Pointwise Nonexpansive Mappings in Metric and Banach Spaces by P. Pasom, B. Panyanak

“…Let C be a nonempty bounded closed convex subset of a complete CAT(0) space X. We prove that the common fixed point set of any commuting family of asymptotic pointwise nonexpansive mappings on C is nonempty closed and convex. …”
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Spectral Criteria for Solvability of Boundary Value Problems and Positivity of Solutions of Time-Fractional Differential Equations by Valentin Keyantuo, Carlos Lizama, Mahamadi Warma

“…When A is the generator of a C0-semigroup (T(t))t≥0 on a Banach space X, we obtain an explicit representation of mild solutions of the above problem in terms of the semigroup. …”
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Spectral inequalities involving the sums and products of functions by Kong-Ming Chong

“…In this paper, the notation ≺ and ≺≺ denote the Hardy-Littlewood-Pólya spectral order relations for measurable functions defined on a fnite measure space (X,Λ,μ) with μ(X)=a, and expressions of the form f≺g and f≺≺g are called spectral inequalities. …”
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Bilinear control of evolution equations with unbounded lower order terms. Application to the Fokker–Planck equation by Alabau-Boussouira, Fatiha, Cannarsa, Piermarco, Urbani, Cristina

“…We study the exact controllability of the evolution equation \begin{equation*} u^{\prime }(t)+Au(t)+p(t)Bu(t)=0 \end{equation*} where $A$ is a nonnegative self-adjoint operator on a Hilbert space $X$ and $B$ is an unbounded linear operator on $X$, which is dominated by the square root of $A$. …”
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Simulating Quantum Field Theories on Gate-Based Quantum Computers by Gayathree M. Vinod, Anil Shaji

“…We implement a simulation of a quantum field theory in 1+1 space–time dimensions on a gate-based quantum computer using the light-front formulation of the theory. …”
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Some Bounded Linear Integral Operators and Linear Fredholm Integral Equations in the Spaces Hα,δ,γ((a,b)×(a,b),X) and Hα,δ((a,b),X) by İsmet Özdemir, Ali M. Akhmedov, Ö. Faruk Temizer

“…In this paper, we define the sets Hα,δ,γ((a,b)×(a,b),X) and Hα,δ((a,b),X) by taking an arbitrary Banach space X instead of ℝ, and we show that these sets which are different from the spaces given in (Dunford (1988)) and (Plamenevskiy (1965)) are Banach spaces with the norms ∥·∥α,δ,γ and ∥·∥α,δ. …”
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Noncoercive Perturbed Densely Defined Operators and Application to Parabolic Problems by Teffera M. Asfaw

“…Let X be a real locally uniformly convex reflexive separable Banach space with locally uniformly convex dual space X∗. Let T:X⊇D(T)→2X∗ be maximal monotone and S:X⊇D(S)→X∗ quasibounded generalized pseudomonotone such that there exists a real reflexive separable Banach space W⊂D(S), dense and continuously embedded in X. …”
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Probability Error Bounds for Approximation of Functions in Reproducing Kernel Hilbert Spaces by Ata Deniz Aydın, Aurelian Gheondea

“…We find probability error bounds for approximations of functions f in a separable reproducing kernel Hilbert space H with reproducing kernel K on a base space X, firstly in terms of finite linear combinations of functions of type Kxi and then in terms of the projection πxn on spanKxii=1n, for random sequences of points x=xii in X. …”
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A New Topological Degree Theory for Perturbations of Demicontinuous Operators and Applications to Nonlinear Equations with Nonmonotone Nonlinearities by Teffera M. Asfaw

“…Let X be a real reflexive locally uniformly convex Banach space with locally uniformly convex dual space X⁎. Let T:X⊇DT→2X⁎ be maximal monotone of type Γdϕ (i.e., there exist d≥0 and a nondecreasing function ϕ:0,∞→0,∞ with ϕ(0)=0 such that 〈v⁎,x-y〉≥-dx-ϕy for all x∈DT, v⁎∈Tx, and y∈X),L:X⊃D(L)→X⁎ be linear, surjective, and closed such that L-1:X⁎→X is compact, and C:X→X⁎ be a bounded demicontinuous operator. …”
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How geomagnetic storms affect the loss of Starlink satellites in February 2022? by Nizam Ahmad, La Ode Muhammad Musafar Kilowasid, Hanif Fakhrurroja, Neflia, Abdul Rachman, Asnawi Husin, Haries Fathoni

“…Abstract On February 8, 2022, approximately 40 of the 49 Starlink satellites were reported to have lost altitude, leading to atmospheric re-entry. SpaceX reported that the orbital decay on Starlink satellites was considered to be linked to a geomagnetic storm that was initiated on February 3, 2022. …”
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Виклики і розвиток авіоніки: система переривання польоту by Валерій Мазуренко

“…Потім вимоги безпеки були змінені на основі теорії управління ризиками, що дозволило Space X розробити революційну нову систему FTS, яка є автономною, автоматичною, надійною та використовує два незалежні канали для прийняття рішення про припинення польоту. …”
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On the Scottish Book Problem 155 by Mazur and Sternbach by Mori, Michiya

“…Problem 155 of the Scottish Book asks whether every bijection $U\colon X\rightarrow Y$ between two Banach spaces $X, Y$ with the property that, each point of $X$ has a neighborhood on which $U$ is isometric, is globally isometric on $X$. …”
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Stability Theory for Nullity and Deficiency of Linear Relations by Silas Luliro Kito, Gerald Wanjala

“…Let A and B be two closed linear relations acting between two Banach spaces X and Y, and let λ be a complex number. We study the stability of the nullity and deficiency of A when it is perturbed by λB. …”
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On the range of the derivative of a smooth mapping between Banach spaces by Robert Deville

“…We survey recent results on the structure of the range of the derivative of a smooth mapping f between two Banach spaces X and Y. We recall some necessary conditions and some sufficient conditions on a subset A of ℒ(X,Y) for the existence of a Fréchet differentiable mapping f from X into Y so that f′(X)=A. …”
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Mutually Compactificable Topological Spaces by Martin Maria Kovár

“…Two disjoint topological spaces X, Y are (T2-) mutually compactificable if there exists a compact (T2-) topology on K=X∪Y which coincides on X, Y with their original topologies such that the points x∈X, y∈Y have open disjoint neighborhoods in K. …”
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Dynamic Processes, Fixed Points, Endpoints, Asymmetric Structures, and Investigations Related to Caristi, Nadler, and Banach in Uniform Spaces by Kazimierz Włodarczyk, Robert Plebaniak

“…In uniform spaces X, D with symmetric structures determined by the D-families of pseudometrics which define uniformity in these spaces, the new symmetric and asymmetric structures determined by the J-families of generalized pseudodistances on X are constructed; using these structures the set-valued contractions of two kinds of Nadler type are defined and the new and general theorems concerning the existence of fixed points and endpoints for such contractions are proved. …”
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Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces by X. J. Wan, Y. P. Zhang, J. T. Sun

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