Generalized Yosida inclusion problem involving multi-valued operator with XOR operation
Demonstratio MathematicaIn this article, we study a generalized Yosida variational inclusion problem involving multi-valued operator with XOR operation. It is shown that the generalized Yosida variational inclusion problem involving multi-valued operator with XOR operation is ...
Iqbal Javid +3 more
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On the order of the operators in the Douglas-Rachford algorithm
, 2015 The Douglas-Rachford algorithm is a popular method for finding zeros of sums of monotone operators. By its definition, the Douglas-Rachford operator is not symmetric with respect to the order of the two operators.
Bauschke, Heinz H., Moursi, Walaa M.
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Fine properties of monotone maps arising in optimal transport for non-quadratic costs
Analysis and Geometry in Metric SpacesThe cost functions considered are c(x,y)=h(x−y)c\left(x,y)=h\left(x-y), where h∈C2(Rn)h\in {C}^{2}\left({{\mathbb{R}}}^{n}) is homogeneous of degree p≥2p\ge 2 with a positive definite Hessian in the unit sphere.
Gutiérrez Cristian E. +1 more
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Fitzpatrick transform of monotone relations in Hadamard spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In the present paper, monotone relations and maximal monotone relations from an Hadamard space to its linear dual space are investigated. Fitzpatrick transform of monotone relations in Hadamard spaces is introduced. It is shown that Fitzpatrick transform
Moslemipour A. +3 more
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Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type
, 2011 We show that every maximally monotone operator of Fitzpatrick-Phelps type defined on a real Banach space must be of dense type. This provides an affirmative answer to a question posed by Stephen Simons in 2001 and implies that various important notions ...
Bauschke, Heinz H. +3 more
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On the viscous Cahn-Hilliard equation with singular potential and inertial term
, 2016 We consider a relaxation of the viscous Cahn-Hilliard equation induced by the second-order inertial term~$u_{tt}$. The equation also contains a semilinear term $f(u)$ of "singular" type. Namely, the function $f$ is defined only on a bounded interval of ${
Scala, Riccardo, Schimperna, Giulio
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Weak Cyclic Monotonicity and Existence of Solutions of Differential Inclusions [PDF]
, 2014 The notion of weak cyclic monotonicity of set-valued maps generalizing the cyclic monotonicity is introduced. The existence of solutions of differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n is ...
Farkhi, Elza
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Existence of Solutions for Nonconvex Differential Inclusions of Monotone Type [PDF]
, 2013 Differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n are studied. Under a weakened monotonicity-type condition the existence of solutions is proved.Comment: 5 pages, 14 ...
Baier, Robert +2 more
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Multivalued elliptic operators with nonstandard growth
Advances in Nonlinear Analysis, 2018 The paper is devoted to the Dirichlet problem for monotone, in general multivalued, elliptic equations with nonstandard growth condition. The growth conditions are more general than the well-known p(x){p(x)} growth.
Avci Mustafa, Pankov Alexander
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Ergodic and fixed point theorems for sequences and nonlinear mappings in a Hilbert space
Demonstratio Mathematica, 2018 In this paper, we introduce the notion of 2-generalized hybrid sequences, extending the notion of nonexpansive and hybrid sequences introduced and studied in our previous work [Djafari Rouhani B., Ergodic theorems for nonexpansive sequences in Hilbert ...
Rouhani Behzad Djafari
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