Comparison Theorems of Spectral Radius for Splittings of Matrices by Cui-Xia Li, Su-Hua Li

“…On the basis of convergence and comparison theorems for single splittings, we present some new convergence and comparison theorems on spectral radius for splittings of matrices.…”
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EQUIVALENCE THEOREM FOR GENERALIZED DEPENDENCIES IN RELATIONAL DATABASES by Nguyễn Xuân Huy, Trương Thị Thu Hà

“…The main contributions are the following: (1) To introduce a new concept of generalized differential dependencies; (2) To claim and proof the equivalence theorem of consequences in the world of all relations, the word of two-tuple relations and propositional logic for the generalized differential dependencies; (3) To show an equivalence between generalized positive Boolean dependencies and generalized differential dependencies.…”
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About the existence and uniqueness theorem for hyperbolic equation by M. E. Khalifa

“…In this paper we prove the existence and uniqueness theorem for almost everywhere solution of the hyperbolic equation using the method of successive approximations [1].…”
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Existence and Convergence Theorems of Best Proximity Points by Moosa Gabeleh, Naseer Shahzad

“…The aim of this paper is to prove some best proximity point theorems for new classes of cyclic mappings, called pointwise cyclic orbital contractions and asymptotic pointwise cyclic orbital contractions. …”
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Quantum information and the C-theorem in de Sitter by Nicolás Abate, Gonzalo Torroba

“…Focusing on 1+1-dimensional field theories, we derive a boosted strong subadditivity inequality in de Sitter, and show that it implies a C-theorem for renormalization group flows. Additionally, using the relative entropy, we establish a Lorentzian bound on the entanglement and thermal entropies for a field theory inside the static patch. …”
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Korovkin Second Theorem via -Statistical -Summability by M. Mursaleen, A. Kiliçman

“…Korovkin type approximation theorems are useful tools to check whether a given sequence of positive linear operators on of all continuous functions on the real interval is an approximation process. …”
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On Comparison Theorems for Splittings of Different Semimonotone Matrices by Shu-Xin Miao, Yang Cao

“…Comparison theorems between the spectral radii of different matrices are useful tools for judging the efficiency of preconditioners. …”
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On some fixed point theorems in Banach spaces by D. V. Pai, P. Veeramani

“…In this paper, some fixed point theorems are proved for multi-mappings as well as a pair of mappings. …”
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Move theorem of the short-cut statistic procedure by Darius Petronaitis, Algimantas Aksomaitis

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A joint limit theorems for trigonometric polynomials by Rasa Šleževičienė

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Relational Quasicontractions and Related Fixed Point Theorems by Nidal H. E. Eljaneid, Faizan A. Khan, Hamid I. A. Mohammed, Aftab Alam

“…Our newly proved results improve and extend several noted fixed point theorems of the existing literature besides their relation-theoretic analogues. …”
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An extension of Helson-Edwards theorem to Banach Modules by Sin-Ei Takahasi

“…An extension of the Helson-Edwards theorem for the group algebras to Banach modules over commutative Banach algebras is given. …”
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An Interpolation Theorem for Quasimartingales in Noncommutative Symmetric Spaces by Congbian MA, Guoxi Zhao

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Fixed-Point Theorem for Isometric Self-Mappings by Joseph Frank Gordon

“…In this paper, we derive a fixed-point theorem for self-mappings. That is, it is shown that every isometric self-mapping on a weakly compact convex subset of a strictly convex Banach space has a fixed point.…”
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A Suzuki Type Fixed-Point Theorem by Ishak Altun, Ali Erduran

“…We present a fixed-point theorem for a single-valued map in a complete metric space using implicit relation, which is a generalization of several previously stated results including that of Suziki (2008).…”
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On some fixed point theorems for Ćirić operators by Mădălina Moga, Radu Trușcă

“…In this paper, we will present existence and localization fixed point theorems and stability results for the fixed point problem involving some very general classes of operators (single-valued and multi-valued), namely for Ćirić type operators. …”
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Fixed Point Theorems via Auxiliary Functions by Erdal Karapınar, Peyman Salimi

“…We prove new fixed point theorems in the framework of partially ordered metric spaces. …”
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Journey through genius: The gre- at theorems of mathematics by Cláudio Saiani

“…Refiro-me a Journey through genius: the great theorems of Mathematics, de William Dunham, publicado em 1990 pela Penguin Books. …”
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The Uniform Boundedness Theorem in Asymmetric Normed Spaces by C. Alegre, S. Romaguera, P. Veeramani

“…We obtain a uniform boundedness type theorem in the frame of asymmetric normed spaces. …”
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Comparison Theorems for Single and Double Splittings of Matrices by Cui-Xia Li, Qun-Fa Cui, Shi-Liang Wu

“…Some comparison theorems for the spectral radius of double splittings of different matrices under suitable conditions are presented, which are superior to the corresponding results in the recent paper by Miao and Zheng (2009). …”
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