In this paper, a new orthogonal wavelet representation of multivalued images is presented. The idea for this representation is based on the concept of maximal gradient of multivalued images. This concept is generalized from gradients toward linear vector operators in the image plane with equal components along rows and columns. Using this generalization, the pyramidal dyadic wavelet transform a...

Abstract This paper is devoted to state some fixed point results for multivalued mappings in modular vector spaces. For this purpose, we study the uniform noncompact convexity, a geometric property spaces which similar nearly convexity Banach setting. Using property, several new theorems nonexpansive

Art, in particular painting, has had clear impacts on the style, techniques, and processes of scientific visualization. Artists strive to create visual forms and ideas that are evocative and convey meaning or tell a story. Over time, painters and other artists have developed sophisticated techniques, as well as a finely tuned aesthetic sense, to help accomplish their goals. As visualization res...

Combinatorial vector fields on simplicial complexes as introduced by Robin Forman have found numerous and varied applications in recent years. Yet, their relationship to classical dynamical systems has been less clear. In work it was shown that for every combinatorial field a finite complex one can construct multivalued discrete-time system the underlying polytope X which exhibits same dynamics...

Starting from an earlier result of Kassay and Miholca, we study vector quasi-equilibrium problems for the sum of two multivalued bifunctions. The assumptions are required separately on each of these bifunctions. Sufficient conditions for the existence of solutions of such problems are shown in the setting of topological vector spaces. The results in this paper unify, improve and extend some wel...

In this study, generalized multivalued vector inverse quasi-variational inequality problems are developed, and error bounds obtained in terms of the residual gap function, regularized D-gap function. With help these constraints, one can effectively estimate distances between any feasible point solution set involving inequality.

Necessary and sufficient conditions for a set-valued map K : R ։ R to be GDQ-differentiable are given. It is shown that K is GDQ differentiable at t0 if and only if it has a local multiselection that is Cellina continuously approximable and Lipschitz at t0. It is also shown that any minimal GDQ of K at (t0, y0) is a subset of the contingent derivative of K at (t0, y0), evaluated at 1. Then this...

Necessary and sufficient conditions for a set-valued map K : R ։ R to be GDQ-differentiable are given. It is shown that K is GDQ differentiable at t0 if and only if it has a local multiselection that is Cellina continuously approximable and Lipschitz at t0. It is also shown that any minimal GDQ of K at (t0, y0) is a subset of the contingent derivative of K at (t0, y0), evaluated at 1. Then this...