Results 11 to 20 of about 69,503 (259)
Periodically growing solutions in a class of strongly monotone semiflows
Networks and Heterogeneous Media, 2012 We study the behavior of unbounded global orbits in a class of stronglymonotone semiflows and give a criterion for the existence of orbitswith periodic growth. We also prove the uniqueness and asymptoticstability of such orbits. We apply our results to a
Ken-Ichi Nakamura, Toshiko Ogiwara
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A Continuous Extension that preserves Concavity, Monotonicity and Lipschitz Continuity [PDF]
, 2003 The following is proven here: let W : X × C −→ R, where X is convex, be a continuous and bounded function such that for each y ∈ C, the function W (·, y) : X −→ R is concave (resp. strongly concave; resp. Lipschitzian with constant M; resp.
Carvajal, Andres
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Abstract and Applied Analysis, 2014 We introduce and analyze a relaxed extragradient-like viscosity iterative algorithm for finding a solution of a generalized mixed equilibrium problem with constraints of several problems: a finite family of variational inequalities for inverse strongly ...
Lu-Chuan Ceng +3 more
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Journal of Inequalities and Applications, 2017 In this paper, we introduce two iterative algorithms for finding the solution of the sum of two monotone operators by using hybrid projection methods and shrinking projection methods.
Tadchai Yuying, Somyot Plubtieng
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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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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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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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