A global regularity theorem for stress fields which correspond to minimisers of convex and some special nonconvex variational problems is derived for Lipschitz-domains. In the first part it is assumed that the energy densities defining the variational problem are convex but not necessarily strictly convex and satisfy a convexity inequality. The regularity result for this case is derived with a ...

In this paper, we introduce the system of generalized vector equilibrium problems which includes as special cases the system of generalized implicit vector variational inequality problems, the system of generalized vector variational and variational-like inequality problems and the system of vector equilibrium problems. By using a maximal element theorem, we establish existence results for a so...

in this work, the blasius equation is studied. homotopy perturbation method (hpm) and homotopy analysis method (ham) are applied to obtain its solution. comparison with variational iteration method (vim) is made to highlight the significant features of employed methods and their capability of handling nonlinear problems. the outcome shows the success of (hpm) and (ham) for solving nonlinear pro...

We present a fuzzy version of the Group Identification Problem ("Who is J?") introduced by Kasher and Rubinstein (1997). consider class $N = \{1,2,\ldots,n\}$ agents, each one with an opinion about membership to group J members society, consisting in function $\pi : N \to [0; 1]$, indicating for agent, including herself, degree J. problem aggregating those functions, satisfying different sets a...

In this work, we studied variational models for image segmentation present in literature, in which will be discussed its mathematical formulations and characteristics of minimization processes. Among these techniques, it will be explored the method Fuzzy Region Competition and segmentation models that can be derived from its energy functional. Inspired by this method, three modifications were p...

In this paper we study a large class of renormalization transformations of measures on lattices. An image of a Gibbs measure under such transformation is called a fuzzy Gibbs measure. Transformations of this type and fuzzy Gibbs measures appear naturally in many fields. Examples include the hidden Markov processes (HMP), memoryless channels in information theory, continuous block factors of sym...