Results 1 to 10 of about 669 (69)

Exterior sphere condition and time optimal control for differential inclusions [PDF]

, 2011
The minimum time function $T(\cdot)$ of smooth control systems is known to be locally semiconcave provided Petrov's controllability condition is satisfied. Moreover, such a regularity holds up to the boundary of the target under an inner ball assumption.
Cannarsa, Piermarco, Nguyen, Khai T.
core   +4 more sources

Partial differential hemivariational inequalities

Advances in Nonlinear Analysis, 2018
The aim of this paper is to introduce and study a new class of problems called partial differential hemivariational inequalities that combines evolution equations and hemivariational inequalities.
Liu Zhenhai, Zeng Shengda, Motreanu Dumitru   +2 more
doaj   +1 more source

Characterizations of Super-regularity and its Variants

, 2018
Convergence of projection-based methods for nonconvex set feasibility problems has been established for sets with ever weaker regularity assumptions.
A Daniilidis, AS Lewis, D Aussel, DR Luke, HH Bauschke, HH Bauschke, HV Ngai, J Bolte, MN Dao, R Hesse, RA Poliquin   +10 more
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Existence and uniqueness for Mean Field Games with state constraints

, 2017
In this paper, we study deterministic mean field games for agents who operate in a bounded domain. In this case, the existence and uniqueness of Nash equilibria cannot be deduced as for unrestricted state space because, for a large set of initial ...
J-M Lasry, J-M Lasry, J-M Lasry, Jean-David Benamou, JP Aubin, M Huang, M Huang, P Cardaliaguet, S Kakutani   +8 more
core   +1 more source

Differential Stability of Convex Discrete Optimal Control Problems

, 2017
Differential stability of convex discrete optimal control problems in Banach spaces is studied in this paper. By using some recent results of An and Yen [Appl. Anal.
An, Duong Thi Viet, Toan, Nguyen Thi
core   +1 more source

On optimal control in a nonlinear interface problem described by hemivariational inequalities

Advances in Nonlinear Analysis
This article is devoted to the existence of optimal controls in various control problems associated with a novel nonlinear interface problem on an unbounded domain with non-monotone set-valued transmission conditions.
Gwinner Joachim
doaj   +1 more source

Applying Metric Regularity to Compute a Condition Measure of a Smoothing Algorithm for Matrix Games

, 2010
We develop an approach of variational analysis and generalized differentiation to conditioning issues for two-person zero-sum matrix games. Our major results establish precise relationships between a certain condition measure of the smoothing first-order
Mordukhovich, Boris, Peña, Javier, Roshchina, Vera   +2 more
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Ekeland’s variational principle for interval-valued functions with an α-level set in Kaleva-Seikkala’s type fuzzy metric spaces

Demonstratio Mathematica
In this paper, we establish a new version of Ekeland’s variational principle in the setting of Kaleva-Seikkala’s type fuzzy metric spaces, where the objective function is an interval-valued function defined on a fuzzy metric space, and the perturbation ...
Liu Xuan, He Fei, Lu Ning
doaj   +1 more source

Existence results of variable exponent double-phase multivalued elliptic inequalities with logarithmic perturbation and convections

Advances in Nonlinear Analysis
In this study, we deal with a multivalued elliptic variational inequality involving a logarithmic perturbed variable exponents double-phase operator. Additionally, it features a multivalued convection term alongside two multivalued terms, one defined ...
Cen Jinxia, Lu Yasi, Vetro Calogero, Zeng Shengda   +3 more
doaj   +1 more source

A Fixed Point Theorem for Discontinuous Functions [PDF]

AMS classifications: 54H25, 65K10, 49J53, 68W25Fixed point;simplicial subdivision;discontinuity ...
Herings, P.J.J., Laan, G. van der, Talman, A.J.J., Yang, Z.F.   +3 more
core   +4 more sources