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In this talk, we first consider convex optimization whose smooth components have a locally Lipschitz continuous gradient and propose a first-order method for finding an epsilon-KKT solution. We then c...
Structure for Regular Inclusions     C*-diagonal  inclusions of C*-algebras  groupoid C*-algebra       font style='font-size:12px;'> 2012/3/1
We study pairs (C,D) of unital C*-algebras where D is an abelian C*-subalgebra of C which is regular in C. When D is a MASA in C, there exists a unique completely positive unital map E of C into the i...
In this paper, the controllability of semilinear evolution inclusions with nonlocal conditions in Banach spaces is investigated when the multivalued map has nonconvex values. The approach used here is...
Abstract: We study the stochastic homogenization of the system -div \sigma^\epsilon = f^\epsilon \sigma^\epsilon \in \partial \phi^\epsilon (\nabla u^\epsilon), where (\phi^\epsilon) is a sequence of ...
Abstract: We propose a primal-dual splitting algorithm for solving monotone inclusions involving a mixture of sums, linear compositions, and parallel sums of set-valued and Lipschitzian operators. An ...
In this paper, we investigate the existence of solutions for a class of first order boundary value problems for impulsive differential inclusions. By using suitable fixed point theorems, we study ...
We give an existence result for the dynamics of a system of particles moving on a line in a horizontal plane and subjected to friction, to percussional effects, to stiffness and to damping. The novelt...
We describe the asymptotic behaviour of the solution of a quasi-linear elliptic problem posed in a domain of $\R^n$, $n\geq 3$ and with homogeneous Dirichlet boundary conditions imposed on small zones...
We obtain measurable viability results for the diÞerential inclusion y0(t) 2 F(t; y(t)) via the approximation of F through the Aumann integral means. The admissibility of a preorder is also stud...
In this paper, we establish the existence of solutions of a nonconvex second order differential inclusion of the following type: \stackrel{..}{x}(t)\in F(x(t), \stackrel{.}{x}(t)) \text{ a.e, } x(0)...
We are concerned with integral functionals of the form J(v)\doteq \int_{B_R^n} \left[f(|x|,|\nabla v(x)|)+h(|x|,v(x))\right] dx, defined on $W^{1,1}_0(B_R^n, \mathbb{R}^m)$, where $B_R^n$ is the b...
In this paper we investigate the existence of solutions for nonlinear boundary value problems for second order impulsive differential inclusions with integral boundary conditions. The both case of c...
Sensitivity analysis for relaxed cocoercive variational inclusions based on the generalized resolvent operator technique is discussed The obtained results are general in nature.
In this paper a fixed point theorem for condensing maps combined with upper and lower solution are used to investigate the existence of solutions of first order differential inclusions with general no...
Iterative Algorithm for A New System of Nonlinear Set-Valued Variational Inclusions Involving $(H, \eta)$ -monotone Mappings.

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