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# Gâteaux derivative

Known as: Gâteaux gradient, Gateaux variation, Gateaux differential
In mathematics, the Gâteaux differential or Gâteaux derivative is a generalization of the concept of directional derivative in differential calculus… Expand
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## Papers overview

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Highly Cited
2016
Highly Cited
2016
• Neurocomputing
• 2016
• Corpus ID: 22482908
This paper proposes a novel region-based active contour model in the level set formulation for medical image segmentation. We… Expand
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2015
2015
• Discret. Event Dyn. Syst.
• 2015
• Corpus ID: 17037273
This paper concerns optimal mode-scheduling in autonomous switched-mode hybrid dynamical systems, where the objective is to… Expand
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Highly Cited
2007
Highly Cited
2007
• 2007
• Corpus ID: 10481552
This paper studies the convergence of the sequence defined by \(x_0 \in C,x_{n + 1} = \alpha _n u + (1 - \alpha _n )Tx_n ,n = 0,1… Expand
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Highly Cited
2006
Highly Cited
2006
In this paper, we prove a Halpern-type strong convergence theorem for nonexpansive mappings in a Banach space whose norm is… Expand
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Highly Cited
2005
Highly Cited
2005
• 2005
• Corpus ID: 43966294
Concrete is a quasi-brittle material, where tensile failure involves progressive micro-cracking, debounding and other complex… Expand
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Highly Cited
2005
Highly Cited
2005
• 2005
• Corpus ID: 73714683
Let E be a real Banach space with a uniformly Gâteaux differentiable norm possessing uniform normal structure, K be a nonempty… Expand
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2002
2002
• 2002
• Corpus ID: 56262200
Two smoothness characterisations of weakly compact sets in Banach spaces are given. One that involves pointwise lower… Expand
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Highly Cited
1997
Highly Cited
1997
Canonical Examples of Weak Asplund Spaces. Properties of Gateaux Differentiability Spaces and Weak Asplund Spaces. Stegall's… Expand
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Highly Cited
1986
Highly Cited
1986
• 1986
• Corpus ID: 53338400
Abstract We prove a theorem on abstract nonlinear evolution equations ∂ t u = F( t , u ) in a Banach space, which aims at… Expand
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Highly Cited
1947
Highly Cited
1947
The natural definition of orthogonality of elements of an abstract Euclidean space is that x ly if and only if the inner product… Expand
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