Results 31 to 40 of about 149 (133)
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
Monotonicity Arguments for Variational–Hemivariational Inequalities in Hilbert Spaces
Axioms, 2022 We consider a variational–hemivariational inequality in a real Hilbert space, which depends on two parameters. We prove that the inequality is governed by a maximal monotone operator, then we deduce various existence, uniqueness and equivalence results ...
Mircea Sofonea
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Complexity, Volume 2021, Issue 1, 2021., 2021 For enhancing the stability of the microgrid operation, this paper proposes an optimization model considering the small‐signal stability constraint. Due to the nonsmooth property of the spectral abscissa function, the droop controller parameters’ optimization is a nonsmooth optimization problem.
Peijie Li +4 more
wiley +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
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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
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 In this paper, a weighted second‐order cone (SOC) complementarity function and its smoothing function are presented. Then, we derive the computable formula for the Jacobian of the smoothing function and show its Jacobian consistency. Also, we estimate the distance between the subgradient of the weighted SOC complementarity function and the gradient of ...
Wenli Liu +4 more
wiley +1 more source
Lipschitz functions with maximal Clarke subdifferentials are staunch [PDF]
Bulletin of the Australian Mathematical Society, 2005 In a recent paper we have shown that most non-expansive Lipschitz functions (in the sense of Baire's category) have a maximal Clarke subdifferential. In the present paper, we show that in a separable Banach space the set of non-expansive Lipschitz functions with a maximal Clarke subdifferential is not only generic, but also staunch in the space of non ...
Borwein, Jonathan M., Wang, Xianfu
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Implicit Multifunction Theorems in Banach Spaces
Journal of Applied Mathematics, 2014 This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces. We present new sufficient conditions for the local metric regularity, metric regularity, Lipschitz-like property ...
Ming-ge Yang, Yi-fan Xu
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Well-posedness analysis of a stationary Navier–Stokes hemivariational inequality
Fixed Point Theory and Algorithms for Sciences and Engineering, 2021 This paper provides a well-posedness analysis for a hemivariational inequality of the stationary Navier-Stokes equations by arguments of convex minimization and the Banach fixed point.
Min Ling, Weimin Han
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Results in Control and Optimization, 2023 In this article, the solvability, Trajectory(T-) and optimal controllability of stochastic integrodifferential inclusions with Clarke subdifferential along with deviated arguments and Poisson jumps are analyzed which are new and untreated topics in the ...
K. Ramkumar +2 more
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