We give an algorithm to compute the coincidence Nielsen number N(f, g), introduced in [DJ], for pairs of maps into real projective spaces. 1. Preliminaries. Let f, g :M → N be a pair of maps between closed C-smooth connected manifolds of the same dimension. We investigate the coincidence set Φ(f, g) = {x ∈ M : fx = gx} of such a pair. The Nielsen relation (x, y ∈ Φ(f, g) are Nielsen equivalent ...

We generalize the coincidence semi-index introduced in [D-J] to pairs of maps between topological manifolds. This permits extending the Nielsen theory to this class of maps. Introduction. In this paper we generalize the coincidence semi-index theory, introduced in [D-J] in the smooth case, to pairs of maps between topological manifolds. It will be based on the topological transversality lemma (...

Let A and B be Banach algebras with bounded approximate identities let Φ:A→B a surjective continuous linear map which preserves two-sided zero products (i.e., Φ(a)Φ(b)=Φ(b)Φ(a)=0 whenever ab=ba=0). We show that Φ is weighted Jordan homomorphism provided product determined weakly amenable. These conditions are in particular fulfilled when the group algebra L1(G) G any locally compact group. also...

in this paper we investigate common xed point theorems for contraction mapping in fuzzy metric space introduced by gregori and sapena [v. gregori, a. sapena, on xed-point the- orems in fuzzy metric spaces, fuzzy sets and systems, 125 (2002), 245-252].

in this paper, we introduce a concept of a generalized $c$-distance in ordered cone $b$-metric spaces and, by using the concept, we prove some fixed point theorems in ordered cone $b$-metric spaces. our results generalize the corresponding results obtained by y. j. cho, r. saadati, shenghua wang (y. j. cho, r. saadati, shenghua wang, common fixed point  heorems on generalized distance in ordere...

The mechanism of contraction in motile models of teleost retinal cones has been examined by using N-ethylmaleimide (NEM)-modified myosin fragments (NEM-S-1 and NEM-heavy meromyosin [HMM]) to prevent access of native myosin to actin filaments during reactivation of contraction. In the diurnal light/dark cycle, retinal cones of green sunfish (Lepomis cyanellus) and bluegill (lepomis macrochirus) ...

It is well known that the classical contraction mapping principle of Banach is a fundamental result in fixed point theory. Several authors have obtained various extensions and generalizations of Banach’s theorems by considering contractive mappings on different metric spaces. Huang and Zhang [1] have replaced real numbers by ordering Banach space and have defined a cone metric space. They have ...

A Z2Z4-additive code C ⊆ Z α 2 ×Z 4 is called cyclic if the set of coordinates can be partitioned into two subsets, the set of Z2 and the set of Z4 coordinates, such that any cyclic shift of the coordinates of both subsets leaves the code invariant. Let Φ(C) be the binary Gray image of C. We study the rank and the dimension of the kernel of a Z2Z4-additive cyclic code C, that is, the dimensions...

Given a C1,1–function f : U → R (where U ⊂ Rn open) we deal with the question of whether or not at a given point x0 ∈ U there exists a local minorant φ of f of class C2 that satisfies φ(x0) = f(x0), Dφ(x0) = Df(x0) and Dφ(x0) ∈ Hf(x0) (the generalized Hessian of f at x0). This question is motivated by the second-order viscosity theory of the PDE, since for nonsmooth functions, an analogous resu...