Search Results - "derivatives AND coderivatives*"
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Optimality Conditions for Approximate Pareto Minimality
ISSN: 0163-0563, 1532-2467Published: Abingdon Taylor & Francis 10.06.2020Published in Numerical functional analysis and optimization (10.06.2020)“…In this paper, we apply, to the case of approximate minimizers for vector optimization problems with set-valued maps, some techniques developed previously in…”
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Generalized Newton’s method based on graphical derivatives
ISSN: 0362-546X, 1873-5215Published: Amsterdam Elsevier Ltd 01.02.2012Published in Nonlinear analysis (01.02.2012)“…This paper concerns developing a numerical method of the Newton type to solve systems of nonlinear equations described by nonsmooth continuous functions. We…”
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Novel theorems for the frame bundle endowed with metallic structures on an almost contact metric manifold
ISSN: 0960-0779, 1873-2887Published: Elsevier Ltd 01.05.2021Published in Chaos, solitons and fractals (01.05.2021)“…•The results of the derivative and coderivative of 2-form F are obtained successfully.•A theorem on Nijenhuis tensor of tensor field J˜ is proved…”
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ZETA INVARIANTS OF MORSE FORMS
ISSN: 1474-7480, 1475-3030Published: Cambridge, UK Cambridge University Press 01.03.2025Published in Journal of the Institute of Mathematics of Jussieu (01.03.2025)“…$ be the induced Witten’s type perturbations of the de Rham derivative and coderivative and the Laplacian, parametrized by $z=\mu +i\nu \in \mathbb C$ ( $\mu ,\nu \in \mathbb {R}$ , $i=\sqrt {-1}$ ). Let $\zeta (s,z…”
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Dirac cohomology on manifolds with boundary and spectral lower bounds
ISSN: 2662-2963, 2662-2971Published: Cham Springer International Publishing 01.12.2023Published in SN partial differential equations and applications (01.12.2023)“…Along the lines of the classic Hodge–De Rham theory a general decomposition theorem for sections of a Dirac bundle over a compact Riemannian manifold is proved by extending concepts as exterior derivative and coderivative as well…”
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Set-Valued Return Function and Generalized Solutions for Multiobjective Optimal Control Problems (MOC)
ISSN: 0363-0129, 1095-7138Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2013Published in SIAM journal on control and optimization (01.01.2013)“…$ and provide a unique characterization for $V$ in terms of contingent derivative and coderivative for set-valued maps, which extends two previously introduced notions of generalized solution to the Hamilton--Jacobi equation for single objective…”
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Zeta invariants of Morse forms
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 30.09.2024Published in arXiv.org (30.09.2024)“…~Rham derivative and coderivative and the Laplacian, parametrized by \(z=\mu+i\nu\in\mathbb C\) (\(\mu,\nu\in\mathbb{R}\), \(i=\sqrt{-1}\)). Let \(\zeta(s,z)\) be the zeta function…”
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Dirac Cohomology on Manifolds with Boundary and Spectral Lower Bounds
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 12.08.2020Published in arXiv.org (12.08.2020)“… derivative and coderivative as well as as elliptic absolute and relative boundary conditions for both Dirac and Dirac Laplacian operators…”
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Bernstein-Gelfand-Gelfand resolutions for basic classical Lie superalgebras
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 25.09.2013Published in arXiv.org (25.09.2013)“… on them. For each choice of parabolic subalgebra and irreducible representation of such a Lie superalgebra, there is a natural definition of the derivative and coderivative, which define the (co)homology groups…”
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Set-Valued Return Function and Generalized Solutions for Multiobjective Optimal Control Problems (MOC)
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 06.10.2011Published in arXiv.org (06.10.2011)“…, which defines generalized Pareto optimality. For this problem, we introduce the set-valued return function V and provide a unique characterization for V in terms of contingent derivative and coderivative for set-valued maps, which extends two…”
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