Please note that terms and conditions apply. Controllability for the impulsive semilinear fuzzy integrodifferential equations with nonlocal conditions View the table of contents for this issue, or go to the journal homepage for more Abstract. In this paper. we study the controllability for the impulsive semilinear fuzzy integrodifferential control system with nonlocal conditions in by using the...

In this paper we embed the space of upper semicontinuous convex fuzzy sets on a Banach space into a space of continuous functions on a compact space. The following structures are preserved by the embedding: convex cone, metric, sup-semilattice. The indicator function of the unit ball is mapped to the constant function 1. Two applications are presented: strong laws of large numbers for fuzzy ran...

In this paper, we study generalized quasi-variational relation problems in locally G-convex spaces. Using the Kakutani-Fan-Glicksberg fixed-point theorem for upper semicontinuous set-valued mapping with nonempty closed acyclic values, we establish an existence theorem of a solution set for these problems. Moreover, the stability and closedness of the solution set for these problems are also obt...

A Nash equilibrium x of a normal-form game G is essential if any perturbation of G has an equilibrium close to x. Using payoff perturbations, we show that for games that are generic in the set of compact, quasiconcave, and generalized payoff secure games with upper semicontinuous sum of payoffs, all equilibria are essential. Some variants of this result are also established. © 2009 Elsevier Inc...

Using weighted L p {norms we derive new bounds on the long{time behavior of the solutions improving on the known results of the polynomial growth with respect to the instability parameter. These estimates are valid for quite arbitrary, possibly unbounded domains. We establish precise estimates on the maximal innuence of the boundaries on the dynamics in the interior. For instance, the attractor...

The existence and uniqueness of a variational solution are proved for the following nonautonomous nonclassical diffusion equation ut − εΔut − Δu f u g x, t , ε ∈ 0, 1 , in a noncylindrical domain with homogeneous Dirichlet boundary conditions, under the assumption that the spatial domains are bounded and increase with time. Moreover, the nonautonomous dynamical system generated by this class of...

In this paper we derive necessary and sufficient conditions for some problems of global minimization. Our approach is based on methods of abstract convexity: we use a representation of an upper semicontinuous function as the lower envelope of a family of convex functions. We discuss applications of conditions obtained to the examination of some tractable sufficient conditions for the global min...

The main concern of this paper is to investigate the existence and uniqueness a fuzzy neutral impulsive stochastic differential system with Caputo fractional order driven by Brownian motion using numbers bounded ν-level intervals that are convex, normal upper-semicontinuous. Fuzzy Itô process, Grönwall’s inequality Banach fixed-point theorem employed probe local global existence. An analytical ...

In this paper we consider stochastic equilibrium problems involving parameter of probability measures. Employing the fixed point theorem Knaster, Kuratowski, Mazurkiewicz, and Fan (KKM-Fan), conditions for existence solutions to such are established. We then propose new metric concepts on underlying spaces study some properties corresponding these metrics. Afterwards, sufficient solution mappin...