Results 31 to 40 of about 351 (168)
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
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
openaire +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
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
doaj +1 more source
Sufficient optimality conditions and duality for nonsmooth multiobjective optimization problems via higher order strong convexity [PDF]
Yugoslav Journal of Operations Research, 2017 In this paper, we define some new generalizations of strongly convex functions of order m for locally Lipschitz functions using Clarke subdifferential.
Upadhyay Balendu B. +2 more
doaj +1 more source
On generalized derivatives for C1,1 vector optimization problems
Journal of Applied Mathematics, 2003 We introduce generalized definitions of Peano and Riemann directional derivatives in order to obtain second-order optimality conditions for vector optimization problems involving C1,1 data.
Davide La Torre
doaj +1 more source
Mathematics, 2022 This paper discusses optimality conditions for Borwein proper efficient solutions of nonsmooth multiobjective optimization problems with vanishing constraints. A new notion in terms of contingent cone and upper directional derivative is introduced, and a
Hui Huang, Haole Zhu
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Necessary optimality conditions for nonsmooth vector optimization problems
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
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Multivalued nonmonotone dynamic boundary condition
Boundary Value Problems, 2021 In this paper, we introduce a new class of hemivariational inequalities, called dynamic boundary hemivariational inequalities, reflecting the fact that the governing operator is also active on the boundary.
Khadija Aayadi +3 more
doaj +1 more source
Approximate controllability for second order nonlinear evolution hemivariational inequalities
Electronic Journal of Qualitative Theory of Differential Equations, 2016 The goal of this paper is to study approximate controllability for control systems driven by abstract second order nonlinear evolution hemivariational inequalities in Hilbert spaces.
Xiuwen Li +2 more
doaj +1 more source