Results 31 to 40 of about 805 (274)
Journal of Function Spaces, 2021 In this paper, using a new shrinking projection method and new generalized k-demimetric mappings, we consider the strong convergence for finding a common point of the sets of zero points of maximal monotone mappings, common fixed points of a finite ...
Bijan Orouji +3 more
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Analyzing Feedback Interconnections of Maximal Monotone Systems Using Dissipativity Approach
, 2022 International audienceWe consider interconnections of two dynamical systems in feedback configuration. The dynamics of the individual systems are modeled by a differential inclusion, and the corresponding set-valued mapping is (anti-) maximal monotone ...
Tanwani, Aneel, Brogliato, Bernard
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Degree theory for the sum of VMO maps and maximal monotone maps [PDF]
Cubo (Temuco), 2011 The authors define a topological degree for maps of the form \(f+T:\Omega\cap D(T)\to \mathbb{R}^n\), where \(\Omega, D(T)\subset \mathbb{R}^n\), \(f:\Omega \to \mathbb{R}^n\) belongs to the class of vanishing mean oscillation functions (\(\mathcal{VMO}\)) and \(T:D(T)\to\mathbb{R}^n\) is a maximal monotone operator.
Chen, Yuqing +2 more
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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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Abstract and Applied Analysis, 2012 The purpose of this paper is to present the notion of weak relatively nonexpansive multi-valued mapping and to prove the strong convergence theorems of fixed point for weak relatively nonexpansive multivalued mappings in Banach spaces.
Jingling Zhang +2 more
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Journal of Mathematics, 2021 In this paper, we propose an iterative scheme for a special split feasibility problem with the maximal monotone operator and fixed-point problem in Banach spaces.
Huijuan Jia, Shufen Liu, Yazheng Dang
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Convergence of proximal solutions for evolution inclusions with time-dependent maximal monotone operators [PDF]
, 2021 International audienceThis article studies the solutions of time-dependent differential inclusions which is motivated by their utility in the modeling of certain physical systems.
Iannelli, Luigi +3 more
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Generalized Mixed Equilibria, Variational Inclusions, and Fixed Point Problems
Abstract and Applied Analysis, 2014 We propose two iterative algorithms for finding a common element of the set of solutions of finite generalized mixed equilibrium problems, the set of solutions of finite variational inclusions for maximal monotone and inverse strong monotone mappings ...
A. E. Al-Mazrooei +3 more
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Identification of discontinuous parameters in double phase obstacle problems
Advances in Nonlinear Analysis, 2022 In this article, we investigate the inverse problem of identification of a discontinuous parameter and a discontinuous boundary datum to an elliptic inclusion problem involving a double phase differential operator, a multivalued convection term (a ...
Zeng Shengda +3 more
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Lyapunov stability of differential inclusions with Lipschitz Cusco perturbations of maximal monotone operators [PDF]
, 2020 We give new criteria for weak and strong invariant closed sets for differential inclusions in Double-struck capital Rn, and which are simultaneously governed by Lipschitz Cusco mapping and by maximal monotone operators.
Hantoute, Abderrahim +2 more
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