Results 41 to 50 of about 5,375,555 (321)
RAIRO - Operations Research, 2023 This paper introduces the concepts of strongly geodesic preinvexity, strongly η-invexity of order m, and strongly invariant η-monotonicity of order m on Riemannian manifolds. Additionally, it discusses an important characterization of these functions under a condition, known as Condition C (The Condition C is defined in Remark 1 of this article ...
Aklad Iqbal +2 more
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Strongly Nonexpansive Mappings Revisited: Uniform Monotonicity and Operator Splitting
SIAM Journal on Optimization, 2023 The correspondence between the class of nonexpansive mappings and the class of maximally monotone operators via the reflected resolvents of the latter has played an instrumental role in the convergence analysis of the splitting methods. Indeed, the performance of some of these methods, e.g., Douglas-Rachford and Peaceman-Rachford methods hinges on ...
Liu, Leon +2 more
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Iterative Methods for the Sum of Two Monotone Operators
Journal of Applied Mathematics, 2012 We introduce an iterative for finding the zeros point of the sum of two monotone operators. We prove that the suggested method converges strongly to the zeros point of the sum of two monotone operators.
Yeong-Cheng Liou
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Abstract and Applied Analysis, 2012 We prove the strong convergence theorems for finding a common element of the set of fixed points of a nonspreading mapping T and the solution sets of zero of a maximal monotone mapping and an α-inverse strongly monotone mapping in a Hilbert space. Manaka
Hongjie Liu +2 more
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AIMS Mathematics, 2023 In this article, we propose a strongly convergent preconditioning method for finding a zero of the sum of two monotone operators. The proposed method combines a preconditioning approach with the robustness of the Krasnosel'skiĭ-Mann method.
Natthaphon Artsawang
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Tight Global Linear Convergence Rate Bounds for Douglas-Rachford Splitting
, 2017 Recently, several authors have shown local and global convergence rate results for Douglas-Rachford splitting under strong monotonicity, Lipschitz continuity, and cocoercivity assumptions. Most of these focus on the convex optimization setting.
Giselsson, Pontus
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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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Journal of Applied Mathematics, 2012 We introduce an iterative process which converges strongly to a common point of solution of variational inequality problem for a monotone mapping and fixed point of uniformly Lipschitzian relatively asymptotically nonexpansive mapping in Banach spaces ...
H. Zegeye, N. Shahzad
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, 2020 Tseng's forward-backward-forward algorithm is a valuable alternative for Korpelevich's extragradient method when solving variational inequalities over a convex and closed set governed by monotone and Lipschitz continuous operators, as it requires in ...
Bot, Radu Ioan +2 more
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A monotone convergence theorem for strong Feller semigroups [PDF]
, 2022 Christian Budde +3 more
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