Results 31 to 40 of about 257,170 (166)
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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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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Separable determination of integrability and minimality of the Clarke subdifferential mapping [PDF]
Proceedings of the American Mathematical Society, 1999 In this paper we show that the study of integrability and D D -representability of Lipschitz functions defined on arbitrary
Borwein, Jonathan M., Moors, Warren B.
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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
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Viability problem with perturbation in Hilbert space
Electronic Journal of Qualitative Theory of Differential Equations, 2007 This paper deals with the existence result of viable solutions of the differential inclusion $$\dot{x}(t) \in f(t,x(t)) + F(x(t))$$ $$x(t) \in K \quad \text{on } [0,T],$$ where $K$ is a locally compact subset in separable Hilbert space $H,$ $(f(s,\cdot))
A. Ait, S. Sajid
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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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Minimization of nonsmooth integral functionals
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we examine optimization problems involving multidimensional nonsmooth integral functionals defined on Sobolev spaces. We obtain necessary and sufficient conditions for optimality in convex, finite dimensional problems using techniques from ...
Nikolaos S. Papageorgiou +1 more
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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
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Abstract and Applied Analysis, 2003 The notions of relaxed submonotone and relaxed monotone mappings in Banach spaces are introduced and many of their properties are investigated. For example, the Clarke subdifferential of a locally Lipschitz function in a separable Banach space is relaxed
Tzanko Donchev, Pando Georgiev
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Journal of Function Spaces, 2020 In this paper, we consider the evolutionary Navier-Stokes equations subject to the nonslip boundary condition together with a Clarke subdifferential relation between the dynamic pressure and the normal component of the velocity. Under the Rauch condition,
Hicham Mahdioui +2 more
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