Results 21 to 30 of about 2,203 (265)
Some inequalities for operator monotone functions
Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 In this paper we show that, if that the function f : [0, ∞) → 𝔾 is operator monotone in [0, ∞) then there exist b ≥ 0 and a positive measure m on [0, ∞) such that [f(B)-f(A)](B-A)==b(B-A)2+∫0∞s2[∫01[((1-t)A+tB+s)-1(B-A)]2dt]dm(s)\matrix{ {\left[ {f ...
Dragomir Silvestru Sever
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A Forward-Backward Projection Algorithm for Approximating of the Zero of the Sum of Two Operators
پژوهشهای ریاضی, 2020 Introduction One of the most important classes of mappings is the class of monotone mappings due to its various applications. For solving many important problems, it is required to solve monotone inclusion problems, for instance, evolution
Vahid Dadashi
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Monotone versus non‐monotone projective operators
Bulletin of the London Mathematical SocietyAbstractFor a class of operators , let denote the closure ordinal of ‐inductive definitions. We give upper bounds on the values of and under the assumption that all projective sets of reals are determined, significantly improving the known results.
J. P. Aguilera, P. D. Welch
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Approximating Iterations for Nonexpansive and Maximal Monotone Operators
Abstract and Applied Analysis, 2015 We present two algorithms for finding a zero of the sum of two monotone operators and a fixed point of a nonexpansive operator in Hilbert spaces. We show that these two algorithms converge strongly to the minimum norm common element of the zero of the ...
Zhangsong Yao +3 more
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Continuity of nonlinear monotone operators [PDF]
Proceedings of the American Mathematical Society, 1977 If a Banach space E has an equivalent norm such that weak ∗ \text {weak}^\ast sequential convergence and norm convergence coincide on the dual unit sphere, then every monotone operator on E is single-valued and norm-norm continuous on a dense G δ {G_\delta ...
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Convergence analysis of a variable metric forward–backward splitting algorithm with applications
Journal of Inequalities and Applications, 2019 The forward–backward splitting algorithm is a popular operator-splitting method for solving monotone inclusion of the sum of a maximal monotone operator and an inverse strongly monotone operator.
Fuying Cui, Yuchao Tang, Chuanxi Zhu
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Two step inertial Tseng method for solving monotone variational inclusion problem
Results in Applied MathematicsIn this paper, we examine the monotone variational inclusion problem with a maximal monotone operator and a Lipschitz continuous monotone operator. We propose two different iterative algorithms for solving the monotone variational inclusion problem ...
Lehlogonolo Mokaba +2 more
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Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators
Abstract and Applied Analysis, 2009 We establish strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of two relatively nonexpansive mappings in a Banach space by using a new hybrid method.
Chakkrid Klin-eam +2 more
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Local Monotone Operator Learning Using Non-Monotone Operators: MnM-MOL
IEEE Transactions on Computational Imaging10 pages, 7 ...
Maneesh John +2 more
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Capacity Theory for Monotone Operators
Potential Analysis, 1997 42 pages, plain TeX, no ...
Dal Maso, Gianni, SKRYPNIK I. V.
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