The author uses fixed point index properties and Inspired by the work in Benmezai Boucheneb (see Theorem 3.8 [3]) to prove new theorems for strict set-contraction defined on a Banach space leaving invariant cone.

This is the third of a sequence of papers in an attempt to study the Perron-Frobenius theory of a nonnegative matrix and its generalizations from the cone-theoretic viewpoint. Our main object of interest here is the core of a cone-preserving map. If A is an n x n real matrix which leaves invariant a proper cone K in IRn , then by the core of A relative to K , denoted by coreK(A ), we mean the c...

This paper considers normal projective complex surfaces X with at worst Kawamata log terminal singularities and KX ≡ 0. The aim is to prove that there is a finite rational polyhedral cone which is a fundamental domain for the action AutX on the convex hull of its rational ample cone. 0. Introduction LetX be a normal projective complex surface with at worst Kawamata log terminal singularities (k...

PURPOSE Normal function of the retina relies on the orderly stereotyped organization of different neurons and their synaptic connections. How such neural organization is patterned during development remains poorly understood due to the paucity of adequate developmental markers. This study was to examine the spatial organization and development of cone photoreceptors quantitatively in the mouse ...

Use of the Casagrande-style plasticity chart to classify fine-grained soils using Atterberg's liquid and plastic limits is ubiquitous in geotechnical engineering. This classification dependent on thread-rolling Casagrande-cup tests, which are both more operator than fall-cone limit test. paper shows that slope data acquired during test (the flow index) can be used redraw chart, thus allowing ac...

In this paper, we introduce the cone normed spaces and cone bounded linear mappings. Among other things, we prove the Baire category theorem and the Banach--Steinhaus theorem in cone normed spaces.

Let (X, g) be a compact manifold with conic singularities. Taking ∆g to be the Friedrichs extension of the Laplace-Beltrami operator, we examine the singularities of the trace of the half-wave group e−it √ ∆g arising from strictly diffractive closed geodesics. Under a generic nonconjugacy assumption, we compute the principal amplitude of these singularities in terms of invariants associated to ...