Let C be a full dimensional, closed, pointed and convex cone in a nite dimensional real vector space E with an inner product hx;yi of x; y 2 E , andM a maximal monotone subset of E E . This paper studies the existence and continuity of centers of the monotone generalized complementarity problem associated with C and M: Find (x;y) 2 M\ (C C ) such that hx;yi = 0. Here C = fy 2 E : hx;yi 0 for al...

We study the C∗-algebra of Wiener–Hopf operators AΩ on a cone Ω with polyhedral base P. As is known, a sequence of symbol maps may be defined, and their kernels give a filtration by ideals of AΩ, with liminary subquotients. One may define K-group valued “index maps” between the subquotients. These form the E1 term of the Atiyah–Hirzebruch type spectral sequence induced by the filtration. We sho...

in this paper, sufficient conditions for the existence ofcommon fixed points for a compatible pair of self maps of gregustype in the framework of convex metric spaces have been obtained.also, established the existence of common fixed points for a pair ofcompatible mappings of type (b) and consequently for compatiblemappings of type (a). the proved results generalize and extend someof the well k...

in this paper, we prove the existence of fixed point for chatterjea type mappings under $c$-distance in cone metric spaces endowed with a graph. the main results extend, generalized and unified some fixed point theorems on $c$-distance in metric and cone metric spaces.

Using the backprojection filtration (BPF) and filtered backprojection (FBP) approaches, respectively, we prove that with cone-beam CT the interior problem can be exactly solved by analytic continuation. The prior knowledge we assume is that a volume of interest (VOI) in an object to be reconstructed is known in a subregion of the VOI. Our derivations are based on the so-called generalized PI-se...

Let Ω ⊆ Rn be a compact convex set and x be a point in the exterior of Ω. The aperture angle of x relative to Ω is defined as the maximal angle of the smallest closed convex cone that contains Ω − x. This note provides an explicit formula, based on eigenvalues of symmetric matrices, for the aperture angle of a point relative to an ellipsoid.