Results 61 to 70 of about 257,170 (166)
'Looking Back: Facing Forward: Mistakes and Metaphors'Exhibition Catalogue Pete Clarke Victoria Gallery and Museum, University of Liverpool Gallery. [PDF]
, 2009 Research exploring representations of the changing city as a political metaphor for concepts of modernity and history utilising painting, printmaking, photography, poetic text and drawing. Retrospective Exhibition of Paintings, Prints & Drawings by Pete
Clarke, Pete
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Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.Abstract We construct a differentiable locally Lipschitz function f$f$ in RN$\mathbb {R}^{N}$ with the property that for every convex body K⊂RN$K\subset \mathbb {R}^N$ there exists x¯∈RN$\bar{x} \in \mathbb {R}^N$ such that K$K$ coincides with the set ∂Lf(x¯)$\partial _L f(\bar{x})$ of limits of derivatives {Df(xn)}n⩾1$\lbrace Df(x_n)\rbrace _{n ...
Aris Daniilidis +2 more
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Optimal Control Applications and Methods, Volume 45, Issue 4, Page 1832-1850, July/August 2024.The graphical abstract delves into Caputo fractional nonlinear differential inclusions, highlighting their complexities and the need for innovative solutions. We propose a mild solution approach to address these challenges efficiently. Our investigation focuses on determining the existence of mild solutions under varied conditions and exploring optimal
Marimuthu Mohan Raja +4 more
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A Neural Network Based on a Nonsmooth Equation for a Box Constrained Variational Inequality Problem
Journal of Mathematics, Volume 2024, Issue 1, 2024.The variational inequality framework holds significant prominence across various domains including economic finance, network transportation, and game theory. In addition, a novel approach utilizing a neural network model is introduced in the current work to address a box constrained variational inequality problem.
Yanan Wang +4 more
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A Nonconvex Proximal Bundle Method for Nonsmooth Constrained Optimization
Complexity, Volume 2024, Issue 1, 2024.An implementable algorithm for solving nonsmooth nonconvex constrained optimization is proposed by combining bundle ideas, proximity control, and the exact penalty function. We construct two kinds of approximations to nonconvex objective function; these two approximations correspond to the convex and concave behaviors of the objective function at the ...
Jie Shen +3 more
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Infinitely many solutions for an anisotropic differential inclusion on unbounded domains
Electronic Journal of Qualitative Theory of Differential EquationsThe problem deals with the anisotropic $p(x)$-Laplacian operator where $p_i$ are Lipschitz continuous functions $2\leq p_i(x)
Giovany Figueiredo, Abdolrahman Razani
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Mean value property and subdifferential criteria for lower semicontinuous functions
, 1995 International audienceWe define an abstract notion of subdifferential operator and an associated notion of smoothness of a norm covering all the standard situations.
Lassonde, Marc +2 more
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The approximate and the Clarke subdifferentials can be different everywhere
Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lipschitz functions with minimal Clarke subdifferential mappings
, 1996 In this paper we characterise, in terms of the upper Dini derivative, when the Clarke subdifferential mapping of a real-valued locally Lipschitz function is a minimal weak cusco.
Jonathan M. Borwein, Warren B. Moors
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Continuous subdifferential approximations and their applications
, 2003 In this paper, we study continuous approximations to the Clarke subdifferential and the Demyanov– Rubinov quasidifferential. Different methods have been proposed and discussed for the construction of the continuous approximations.
Bagirov, Adil
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