Results 31 to 40 of about 683 (98)
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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Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator
, 2012 The most famous open problem in Monotone Operator Theory concerns the maximal monotonicity of the sum of two maximally monotone operators provided that Rockafellar's constraint qualification holds. In this paper, we prove the maximal monotonicity of $A+
Borwein, Jonathan M., Yao, Liangjin
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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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Extended Forward-Backward Algorithm
, 2013 We propose an extended forward-backward algorithm for approximating a zero of a maximal monotone operator which can be split as the extended sum of two maximal monotone operators.
Lassonde, Marc, Nagesseur, Ludovic
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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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Monotone Linear Relations: Maximality and Fitzpatrick Functions [PDF]
, 2008 We analyze and characterize maximal monotonicity of linear relations (set-valued operators with linear graphs). An important tool in our study are Fitzpatrick functions.
Bauschke, Heinz H. +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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Demonstratio MathematicaThis manuscript is devoted to constructing a novel iterative scheme and reckoning of fixed points for generalized contraction mappings in hyperbolic spaces.
Ahmad Fayyaz +4 more
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