Results 11 to 20 of about 692 (220)
Degree theory for the sum of VMO maps and maximal monotone maps [PDF]
Cubo, 2011 Let be an open bounded domain, a VMO map, and T : D(T) a maximal monotone map wit . We construct a degree for the sum of f + T, which can be viewed as a generalization of the degree both for VMO maps and maximal monotone maps.Sea un dominio abierto, un ...
Yuqing Chen +2 more
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Anti-periodic solutions for evolution equations associated with maximal monotone mappings
Applied Mathematics Letters, 2011 The authors consider the existence of anti-periodic solutions for differential inclusions in a real Hilbert space \(H\). The first result concerns the problem \[ x^{\prime }(t)\in -Ax(t)+f(t)\text{ a.e. on }\mathbb{R}, \] \[ x(t)=-x(t+T)\text{ for }t\in \mathbb{R}.
Yuqing Chen, Juan J Nieto
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Variational inequalities of perturbed maximal monotone mapping with applications
Applied Mathematics Letters, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuying Zhou
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Relaxation methods for optimal control problems [PDF]
Bulletin of Mathematical Sciences, 2020 We consider a nonlinear optimal control problem with dynamics described by a differential inclusion involving a maximal monotone map A : ℝN → 2ℝN. We do not assume that D(A) = ℝN, incorporating in this way systems with unilateral constraints in our ...
Nikolaos S. Papageorgiou +2 more
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A construction of a maximal monotone extension of a monotone map [PDF]
ESAIM: Proceedings, 2007 A proof based on the axiom of choice shows that any monotone map has maximal mono- tone extensions but this proof is not constructive. In this paper, we give a construction of such an extension. The process is based on some density properties of (maximal) monotone maps given before. Resume. Afln de montrer qu'une multi-application monotone possµede une
Jean-Pierre Crouzeix +2 more
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Linear passive systems and maximal monotone mappings [PDF]
Mathematical Programming, 2015 The paper studies linear systems of the form \[ x'(t)=Ax(t)+Bz(t)+u(t),\quad w(t)=Cx(t)+Dz(t)\eqno (1) \] with \[ (-z(t),w(t))\in \operatorname{graph}(M), \] where \(M: {\mathbb R}^m\to {\mathcal P}({\mathbb R}^m)\) is a given maximal monotone map. The system (1) is equivalent with a differential inclusion of the form \[ x'(t)\in -H(x(t))+u(t).\eqno (2)
M. Kanat Camlibel +1 more
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A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, we consider a proximal point algorithm for finding a common zero of a finite family of maximal monotone operators in real Hilbert spaces. Also, we give a necessary and sufficient condition for the common zero set of finite operators to be ...
Mohsen Tahernia +2 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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Hybrid method for equilibrium problems and variational inclusions
Journal of Inequalities and Applications, 2020 By providing a new iterative method our aim is finding a common element of the set of fixed points of two nonexpansive mappings, the set of solutions to a variational inclusion and the set of solutions of a generalized equilibrium problem in a real ...
Shahram Rezapour, Seyyed Hasan Zakeri
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An Implicit Algorithm for Maximal Monotone Operators and Pseudocontractive Mappings [PDF]
Abstract and Applied Analysis, 2012 The purpose of this paper is to construct an implicit algorithm for finding the common solution of maximal monotone operators and strictly pseudocontractive mappings in Hilbert spaces. Some applications are also included.
Li, Hong-Jun +4 more
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