In this paper, we study Levitin–Polyak type well-posedness for generalized vector variational inequality problems with abstract and functional constraints. Various criteria and characterizations for these types of well-posednesses are given. Copyright Springer-Verlag 2008

In this paper, we study Levitin–Polyak type well-posedness for generalized vector variational inequality problems with abstract and functional constraints. Various criteria and characterizations for these types of well-posednesses are given. Copyright Springer-Verlag 2008

Let F and G be multivariate probability distribution functions, each with equal one dimensional marginals, such that there exists a sequence of constants an 0, n [set membership, variant] , with [formula] for all continuity points (x1, ..., xd) of G. The distribution function G is characterized...

We study heat conduction through one-dimensional homogeneous lattices in the presence of the anharmonic nearest-neighbor interaction without an on-site potential. We observe the occurrence of negative differential thermal resistance (NDTR); i.e., there exists a region of temperature difference...

In this paper, we study a class of penalty methods for a class of constrained scalar set-valued optimization problems. We establish an equivalence relation between the lower semicontinuity at the origin of the optimal value function of the perturbed problem and the convergence of the penalty...

Complex non-linear interactions between banks and assets we model by two time-dependent Erd\H{o}s Renyi network models where each node, representing bank, can invest either to a single asset (model I) or multiple assets (model II). We use dynamical network approach to evaluate the collective...

In this paper, we first derive several characterizations of the nonemptiness and compactness for the solution set of a convex scalar set-valued optimization problem (with or without cone constraints) in which the decision space is finite-dimensional. The characterizations are expressed in terms...

In this paper, we consider convex optimization problems with cone constraints (CPC in short). We study generalized weak sharp minima properties for (CPC) in the Banach space and Hilbert space settings, respectively. Some criteria and characterizations for the solution set to be a set of...