Results 1 to 10 of about 257,170 (166)
Fractal and Fractional, 2023 In this study, the multivalued fixed point theorem, Clarke subdifferential properties, fractional calculus, and stochastic analysis are used to arrive at the system’s mild solution (1). Furthermore, the mean square moment for the aforementioned system (1)
Ramkumar Kasinathan +2 more
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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
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Convergence of a double step scheme for a class of second order Clarke subdifferential inclusions [PDF]
Nonlinear Analysis: Real World Applications, 2023 In this paper we deal with a second order evolution inclusion involving a multivalued term generated by a Clarke subdifferential of a locally Lipschitz potential. For this problem we construct a double step time-semidiscrete approximation, known as the Rothe scheme.
Bartosz, Krzysztof, Szafraniec, Paweł
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Separation of convex sets by Clarke subdifferential
Optimization, 2010 In this article we consider a separation technique proposed in J. Grzybowski, D. Pallaschke, and R. Urbanski (A pre-classification and the separation law for closed bounded convex sets, Optim. Method Softw. 20(2005), pp. 219–229) for separating two convex sets A and B with another convex set C. We prove that in a finite dimension C can be chosen as the
GAUDIOSO, MANLIO +2 more
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, 2021 In this paper, we aim to complement our work reported in [20] by showing some further properties and results on Clarke subdifferential, Pareto-Clarke critical points and descent directions on Hadamard manifolds.
Erik Alex Papa Quiroz +2 more
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Reconstruction of the Clarke Subdifferential by the Lasry–Lions Regularizations
Journal of Mathematical Analysis and Applications, 2000 Suppose that \(f\) is a locally Lipschitz function defined on a Hilbert space, which satisfies the growth condition \[ -{C\over 2}(\|x\|^2+ 1)\leq f(x)\leq {C\over 2}(\|x\|^2+ 1). \] It is proved that the Clarke subdifferential \(\partial f(x)\) (of \(f\) at \(x\)) can be represented by the derivatives of its Lasry-Lions regularizations \((f_\lambda ...
Georgiev, Pando Gr., Zlateva, Nadia P.
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Journal of Function SpacesThis paper investigates the existence of mild solutions and optimal controls for a class of second-order delayed neutral nonautonomous evolution systems involving hemivariational inequalities, history-dependent operators, and Clarke's generalized ...
Hasanen A. Hammad +2 more
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Existence of solutions for a second order boundary value problem with the Clarke subdifferential
Filomat, 2017 In this paper, we prove a theorem on the existence of solutions for a second order differential inclusion governed by the Clarke subdifferential of a Lipschitzian function and by a mixed semicontinuous perturbation.
Azzam-Laouir, Dalila, Melit, Samira
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Controllability and constrained controllability for nonlocal Hilfer fractional differential systems with Clarke’s subdifferential [PDF]
Journal of Inequalities and Applications, 2019 Sobolev-type nonlocal fractional differential systems with Clarke’s subdifferential are studied. Sufficient conditions for controllability and constrained controllability for Sobolev-type nonlocal fractional differential systems with Clarke’s ...
Hamdy M. Ahmed +3 more
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On Clarke's Subdifferential of Marginal Functions [PDF]
Applied Set-Valued Analysis and Optimization, 2021 In this short note, we derive an upper estimate of Clarke's subdifferential of marginal functions in Banach spaces. The structure of the upper estimate is very similar to other results already obtained in the literature. The novelty lies on the fact that we derive our assertions in general Banach spaces, and avoid the use of the Asplund assumption.
Bouza, Gemayqzel +2 more
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