A decomposition theorem for $\mathbb{Q}$-Fano Kähler–Einstein varieties by Druel, Stéphane, Guenancia, Henri, Păun, Mihai

“…This relies among other things on a very general splitting theorem for algebraically integrable foliations. We also prove that the canonical extension of $T_X$ by $\mathscr{O}_X$ is polystable with respect to the anticanonical polarization.…”
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Coupled Fixed Point Theorems in Topological Spaces with Size Function Topology by Gun Sunyeekhan

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Weak Convergence Theorems for Bregman Relatively Nonexpansive Mappings in Banach Spaces by Chin-Tzong Pang, Eskandar Naraghirad, Ching-Feng Wen

“…We then prove weak convergence theorems for the sequences produced by the methods. …”
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Estimates of determinants and of the elements of the inverse matrix under conditions of Ostrovskii theorem by Anatolij I. Perov

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A Weak Limit Theorem for Galton-Watson Processes in Varying Environments by Zhenlong Gao, Yanhua Zhang

“…We extend Donsker’s theorem and the central limit theorem of classical Galton-Watson process to the Galton-Watson processes in varying environment.…”
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Theorem on the union of two topologically flat cells of codimension 1 in ℝn by A. V. Chernavsky

“…In this paper we give a complete and improved proof of the Theorem on the union of two (n−1)-cells. First time it was proved by the author in the form of reduction to the earlier author's technique. …”
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Generalized Hyers-Ulam-Rassias Theorem in Menger Probabilistic Normed Spaces by M. Eshaghi Gordji, M. B. Ghaemi, H. Majani

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Oscillation Theorems for Even Order Damped Equations with Distributed Deviating Arguments by Chunxia Gao, Peiguang Wang

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Nonequilibrium transport and the fluctuation theorem in the thermodynamic behaviors of nonlinear photonic systems by Yang Liu, Jincheng Lu, Zhongfei Xiong, Fan O. Wu, Demetrios Christodoulides, Yuntian Chen, Jian-Hua Jiang

“…In addition, we numerically confirm that the fluctuation theorem remains applicable in optical thermodynamics systems across all regimes, from positive temperatures to negative ones. …”
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Jørgensen’s Inequality and Algebraic Convergence Theorem in Quaternionic Hyperbolic Isometry Groups by Huani Qin, Yueping Jiang, Wensheng Cao

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Existence Theorems for Solvability of a Functional Equation Arising in Dynamic Programming by Deepmala

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Applications of Schauder’s Fixed Point Theorem to Semipositone Singular Differential Equations by Zhongwei Cao, Chengjun Yuan, Xiuling Li

“…The proof relies on Schauder’s fixed point theorem. Our results generalized and extended those results contained in the studies by Chu and Torres (2007) and Torres (2007) . …”
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Two New Types of Fixed Point Theorems in Complete Metric Spaces by Farshid Khojasteh, Mujahid Abbas, Simona Costache

“…We introduce two new types of fixed point theorems in the collection of multivalued and single-valued mappings in complete metric spaces.…”
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Further Remarks on Fixed-Point Theorems in the Context of Partial Metric Spaces by Mohamed Jleli, Erdal Karapınar, Bessem Samet

“…New fixed-point theorems on metric spaces are established, and analogous results on partial metric spaces are deduced. …”
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Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices by Qiongli Wu, Liangcai Gan, Qingfeng Fan

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The Central Limit Theorem for th-Order Nonhomogeneous Markov Information Source by Huilin Huang

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Correction to: A software tool for applying Bayes’ theorem in medical diagnostics by Theodora Chatzimichail, Aristides T. Hatjimihail

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A weighted discrete universality theorem for L-functions of elliptic curves by Virginija Garbaliauskienė

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On some constants in simultaneous approximation by K. Balázs, T. Kilgore

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Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation by Bijendra Singh, Shishir Jain

“…Recently, Popa (2002) has employed a similar but not the same implicit relation to obtain a fixed point theorem for d-complete topological spaces. All the results of this paper are new.…”
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