Asymptotic fixed points for nonlinear contractions.
Asymptotic fuzzy contractive mappings in fuzzy metric spaces
Fixed point theory in fuzzy metric spaces has grown to become an intensive field of research. However, due to the complexity involved in the nature of fuzzy metrics, the authors need to develop innovative machinery to establish new fixed point theorems in such kind of spaces. In this paper, we propose the concepts of asymptotic fuzzy -contractive and asymptotic fuzzy Meir-Keeler mappings, and describe some new machinery by which the corresponding fixed point theorems are proved. In this sense,...
Asymptotic values for uniformly convergent sequences of functions
Asymptotically equal generalized distances: induced topologies and -energy of a curve.
Atomic compactness for reflexive graphs
A first order structure with universe M is atomic compact if every system of atomic formulas with parameters in M is satisfiable in provided each of its finite subsystems is. We consider atomic compactness for the class of reflexive (symmetric) graphs. In particular, we investigate the extent to which “sparse” graphs (i.e. graphs with “few” vertices of “high” degree) are compact with respect to systems of atomic formulas with “few” unknowns, on the one hand, and are pure restrictions of their...
Atomic mappings on irreducible Hausdorff continua
Atomicity of mappings.
Atomless Parts of Spaces.
Atoms and proximal fineness
Atoms in the family of coreflective subcategories of uniform spaces
Atoms in uniformities
Atoms in uniformities
Atoms in uniformities and proximities
Atomy ve svazu uniformit
Attouch-Wets convergence and Kuratowski convergence on compact sets
Let be a locally connected, -compact metric space and a closed subset of . Let be the space of all continuous real-valued functions defined on some closed subsets of . We prove the equivalence of the and topologies on , where is the so called Attouch-Wets topology, defined in terms of uniform convergence of distance functionals, and is the topology of Kuratowski convergence on compacta.
Attractive operators and fixed points
Attractors and a fixed point theorem in locally convex space
Attractors and Inverse Limits.
This paper surveys some recent results concerning inverse limits of tent maps. The survey concentrates on Ingram’s Conjecture. Some motivation is given for the study of such inverse limits.
Au bord de certains polyèdres hyperboliques
Le cadre de cet article est celui des groupes et des espaces hyperboliques de M. Gromov. Il est motivé par la question suivante : comment différencier deux groupes hyperboliques à quasi-isométrie près ? On illustre ce problème en détaillant un exemple de M. Gromov issu de Asymptotic invariants for infinite groups. On décrit une famille infinie de groupes hyperboliques, deux à deux non quasi-isométriques, de bord la courbe de Menger. La méthode consiste à étudier leur structure quasi-conforme au...
Aull-paracompactness and strong star-normality of subspaces in topological spaces
We prove for a subspace of a -space , is (strictly) Aull-paracompact in and is Hausdorff in if and only if is strongly star-normal in . This result provides affirmative answers to questions of A.V. Arhangel’skii–I.Ju. Gordienko [3] and of A.V. Arhangel’skii [2].