Results 11 to 20 of about 1,838,887 (337)
Finite difference schemes with monotone operators [PDF]
Advances in Difference Equations, 2004 Several existence theorems are given for some second-order difference equations associated with maximal monotone operators in Hilbert spaces. Boundary conditions of monotone type are attached.
N. C. Apreutesei
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Convergence theorems for split feasibility problems on a finite sum of monotone operators and a family of nonexpansive mappings [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we present two iterative algorithms for approximating a solution of the split feasibility problem on zeros of a sum of monotone operators and fixed points of a finite family of nonexpansive mappings.
Narin Petrot +2 more
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Iterative Methods for the Sum of Two Monotone Operators [PDF]
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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Strong convergence theorems by hybrid and shrinking projection methods for sums of two monotone operators [PDF]
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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Approximating Iterations for Nonexpansive and Maximal Monotone Operators [PDF]
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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Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators [PDF]
Set-Valued and Variational Analysis, 2011 We show that the lower limit of a sequence of maximal monotone operators on a reflexive Banach space is a representable monotone operator. As a consequence, we obtain that the variational sum of maximal monotone operators and the variational composition of a maximal monotone operator with a linear continuous operator are both representable monotone ...
García, Yboon, Lassonde, Marc
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Fixed Point Theory and Applications, 2010 We establish two fixed point theorems for nonlinear operators on Banach spaces partially ordered by a cone. The first fixed point theorem is concerned with a class of mixed monotone operators.
Liang Jin, Xiao Ti-Jun, Ding Hui-Sheng
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Convergence Results of Forward-Backward Algorithms for Sum of Monotone Operators in Banach Spaces [PDF]
Results in Mathematics, 2019 It is well known that many problems in image recovery, signal processing, and machine learning can be modeled as finding zeros of the sum of maximal monotone and Lipschitz continuous monotone operators. Many papers have studied forward-backward splitting
Y. Shehu
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Symbolic computation with monotone operators [PDF]
ACM Communications in Computer Algebra, 2017 The Fenchel conjugate , f * , and the subdifferential , ∂ f , of a function f are two objects of fundamental importance in convex analysis.
Lauster, Florian +2 more
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Generalized monotone operators and their averaged resolvents [PDF]
Mathematical programming, 2019 The correspondence between the monotonicity of a (possibly) set-valued operator and the firm nonexpansiveness of its resolvent is a key ingredient in the convergence analysis of many optimization algorithms.
Heinz H. Bauschke +2 more
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