Results 11 to 20 of about 1,773 (86)
Brittle membranes in finite elasticity
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 103, Issue 11, November 2023., 2023 This work is devoted to the variational derivation of a reduced model for brittle membranes in finite elasticity. The main mathematical tools we develop for our analysis are: (i) a new density result in GSBVp$GSBV^{p}$ of functions satisfying a maximal‐rank constraint on the subgradients, which can be approximated by C1‐local immersions on regular ...
Stefano Almi +2 more
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Optimal allocations with α‐MaxMin utilities, Choquet expected utilities, and prospect theory
Theoretical Economics, Volume 18, Issue 3, Page 993-1022, July 2023., 2023 The analysis of optimal risk sharing has been thus far largely restricted to nonexpected utility models with concave utility functions, where concavity is an expression of ambiguity aversion and/or risk aversion. This paper extends the analysis to α‐maxmin expected utility, Choquet expected utility, and cumulative prospect theory, which accommodate ...
Patrick Beißner, Jan Werner
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Abstract and Applied Analysis, Volume 2022, Issue 1, 2022., 2022 In this paper, we establish a generalization of the Galewski‐Rădulescu nonsmooth global implicit function theorem to locally Lipschitz functions defined from infinite dimensional Banach spaces into Euclidean spaces. Moreover, we derive, under suitable conditions, a series of results on the existence, uniqueness, and possible continuity of global ...
Guy Degla +3 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 Let X and Y be Banach spaces and Ω⊆X. Let f:Ω⟶Y be a single valued function which is nonsmooth. Suppose that F:X⇉2Y is a set‐valued mapping which has closed graph. In the present paper, we study the extended Newton‐type method for solving the nonsmooth generalized equation 0 ∈ f(x) + F(x) and analyze its semilocal and local convergence under the ...
M. Z. Khaton +2 more
wiley +1 more source
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This paper aims at studying optimality conditions and duality theorems of an approximate quasi weakly efficient solution for a class of nonsmooth vector optimization problems (VOP). First, a necessary optimality condition to the problem (VOP) is established by using the Clarke subdifferential.
Wenjing Li, Guolin Yu, S. K. Mishra
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Walrasian equilibria from an optimization perspective: A guide to the literature
Naval Research Logistics (NRL), Volume 68, Issue 4, Page 496-513, June 2021., 2021 Abstract An ideal market mechanism allocates resources efficiently such that welfare is maximized and sets prices in a way so that the outcome is in a competitive equilibrium and no participant wants to deviate. An important part of the literature discusses Walrasian equilibria and conditions for their existence.
Martin Bichler +2 more
wiley +1 more source
A Nonpenalty Neurodynamic Model for Complex‐Variable Optimization
Discrete Dynamics in Nature and Society, Volume 2021, Issue 1, 2021., 2021 In this paper, a complex‐variable neural network model is obtained for solving complex‐variable optimization problems described by differential inclusion. Based on the nonpenalty idea, the constructed algorithm does not need to design penalty parameters, that is, it is easier to be designed in practical applications.
Bao Liu +4 more
wiley +1 more source
A Modified Nonsmooth Levenberg–Marquardt Algorithm for the General Mixed Complementarity Problem
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 As is well known, the mixed complementarity problem is equivalent to a nonsmooth equation by using a median function. By investigating the generalized Jacobi of a composite vector‐valued maximum function, a nonsmooth Levenberg–Marquardt algorithm is proposed in this paper. In the present algorithm, we adopt a new LM parameter form and discuss the local
Linsen Song, Yan Gao, Qiuye Sun
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KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization [PDF]
, 2014 For a long time, the bilevel programming problem has essentially been considered as a special case of mathematical programs with equilibrium constraints (MPECs), in particular when the so-called KKT reformulation is in question.
Dempe, Stephan, Zemkoho, Alain B.
core +1 more source
Directed Subdifferentiable Functions and the Directed Subdifferential without Delta-Convex Structure [PDF]
, 2013 We show that the directed subdifferential introduced for differences of convex (delta-convex, DC) functions by Baier and Farkhi can be constructed from the directional derivative without using any information on the DC structure of the function.
Baier, Robert +2 more
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