Results 1 to 10 of about 45 (40)
Existence and controllability for stochastic evolution inclusions of Clarke's subdifferential type [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, we investigate a class of stochastic evolution inclusions of Clarke's subdifferential type in Hilbert spaces. The existence of mild solutions and controllability results are given and proved by using stochastic analysis techniques ...
Yunxiang Li, Liang Lu
doaj +2 more sources
Necessary optimality conditions for nonsmooth vector optimization problems [PDF]
Mathematical Modelling and Analysis, 2003 In this paper we introduce a notion of generalized derivative for nonsmooth vector functions in order to obtain necessary optimality conditions for vector optimization problems.
Davide La Torre
doaj +2 more sources
Results in Control and Optimization, 2022 In this work, a fractional evolution hemivariational inequalities driven by non-instantaneous impulses is studied. The solvability of the proposed system is obtained by fractional calculus, properties of generalized Clarke’s subdifferential and Dhage ...
N. Durga +2 more
doaj +1 more source
Lipschitz functions with maximal Clarke subdifferentials are generic [PDF]
Proceedings of the American Mathematical Society, 2000 We show that on a separable Banach space most Lipschitz functions have maximal Clarke subdifferential mappings. In particular, the generic nonexpansive function has the dual unit ball as its Clarke subdifferential at every point. Diverse corollaries are given.
Borwein, Jonathan M., Wang, Xianfu
openaire +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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