In this paper, we prove that the general quasi variational inequalities are equivalent to the fixed point problem using the projection technique. We use this equivalent formulation to study the sensitivity analysis of the general quasi variational inequality. Our approach is very simple. Several special cases are also discussed. AMS subject classifications: 49J40, 90C33

In this paper, we consider a new class of generalized variational inequalities and a new class of generalized Wiener-Hopf equations involving set-valued and nonexpansive mappings in real Hilbert space. Using the projection technique, we show that the generalized variational inequalities are equivalent to the generalized Wiener-Hopf equations. Further, by using this alternative equivalence we su...

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 ...

A new system of nonlinear fuzzy variational inclusions involving A, η -accretive mappings in uniformly smooth Banach spaces is introduced and studiedmany fuzzy variational and variational inequality inclusion problems as special cases of this system. By using the resolvent operator technique associated with A, η -accretive operator due to Lan et al. and Nadler’s fixed points theorem for set-val...

Variational Geometry technique, also known as Constraints Satisfaction Problem technique (CSP), is one of the core components in modern CAD systems. One of the known problems of the existing technique is its inability of solving topological changes. In this paper, we propose a new Varaitional Geometry technique with Algebraic Level Set (ALS) geometric model. Based on half-space model theory and...

Total Variation denoising, proposed by Rudin, Osher and Fatemi in [22], is an image processing variational technique that has attracted considerable attention in the past fifteen years. It is an advantageous technique for preserving image edges but tends to sharpen excessively smooth transitions. With the purpose of alleviating this staircase effect some generalizations of Total Variation denoi...