Results 21 to 30 of about 692 (220)
Forbidden intersection problems for families of linear maps
Discrete Analysis, 2023 Forbidden intersection problems for families of linear maps, Discrete Analysis 2023:19, 32 pp. A central problem in extremal combinatorics is to determine the maximal size of a set system given constraints on the sizes of the sets in the system and on ...
David Ellis, Guy Kindler, Noam Lifshitz
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Advances in Difference Equations, 2020 We introduce a new iterative method for finding a common element of the set of fixed points of pseudo-contractive mapping, the set of solutions to a variational inclusion and the set of solutions to a generalized equilibrium problem in a real Hilbert ...
Shahram Rezapour, Seyyed Hasan Zakeri
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Firmly Nonexpansive Mappings and Maximally Monotone Operators: Correspondence and Duality [PDF]
Set-Valued and Variational Analysis, 2011 The notion of a firmly nonexpansive mapping is central in fixed point theory because of attractive convergence properties for iterates and the correspondence with maximal monotone operators due to Minty. In this paper, we systematically analyze the relationship between properties of firmly nonexpansive mappings and associated maximal monotone operators.
Bauschke, Heinz H. +2 more
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Strong Convergence of Monotone Hybrid Method for Maximal Monotone Operators and Hemirelatively Nonexpansive Mappings [PDF]
Fixed Point Theory and Applications, 2009 AbstractWe prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method.
Klin-eam Chakkrid, Suantai Suthep
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Nonlinear variational inequalities and maximal monotone mappings in Banach spaces
Mathematische Annalen, 1969 Felix E Browder, Browder Felix E
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A note on Solodov and Tseng’s methods for maximal monotone mappings
Journal of Computational and Applied Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jinling Zhao, Qingzhi Yang, Hongxiu Gao
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Topological degree and application to a parabolic variational inequality problem
International Journal of Mathematics and Mathematical Sciences, 2001 We are interested in constructing a topological degree for operators of the form F=L+A+S, where L is a linear densely defined maximal monotone map, A is a bounded maximal monotone operators, and S is a bounded demicontinuous map of class (S+) with ...
A. Addou, B. Mermri
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A note on the degree for maximal monotone mappings in finite dimensional spaces
Applied Mathematics Letters, 2009 The authors attempt to give an easy way to define the topological degree of a maximal monotone mapping as the limit of the classical Brouwer degrees of the Yosida approximations. Moreover, a homotopy property for the degree of a maximal monotone mapping and also for the degree of a subdifferential of a continuous convex function is obtained.
Chen, Yuqing +3 more
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A Method of approximation for a zero of the sum of maximally monotone mappings in Hilbert spaces
Arab Journal of Mathematical Sciences, 2020 Our purpose of this study is to construct an algorithm for finding a zero of the sum of two maximally monotone mappings in Hilbert spaces and discus its convergence. The assumption that one of the mappings is α-inverse strongly monotone is dispensed with. In addition, we give some applications to the minimization problem.
Getahun Bekele Wega, Habtu Zegeye
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Digital technologies hold promise for transforming healthcare by enhancing personalized treatments and offer valuable opportunities to improve patient care. Here, we evaluated several novel, self‐administered, home‐based, digital endpoints for their association with corresponding conventional standard clinical measures (primary) in ...
Arne Mueller +14 more
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