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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 $ψ$ -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

Colwell, Peter (1974)

Portugaliae mathematica

Asymptotically equal generalized distances: induced topologies and $p$ -energy of a curve.

De Cecco, Giuseppe, Palmieri, Giuliana (2001)

Beiträge zur Algebra und Geometrie

Atomic compactness for reflexive graphs

Christian Delhommé (1999)

Fundamenta Mathematicae

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

Wiliam Mahavier (1970)

Fundamenta Mathematicae

Atomicity of mappings.

Charatonik, Janusz J., Charatonik, Włodzimierz J. (1998)

International Journal of Mathematics and Mathematical Sciences

Atomless Parts of Spaces.

John R. Isbell (1972)

Mathematica Scandinavica

Atoms and proximal fineness

Pelant, Jan, Reiterman, Jan (1976)

Seminar Uniform Spaces

Atoms in the family of coreflective subcategories of uniform spaces

Michael David Rice (1986)

Commentationes Mathematicae Universitatis Carolinae

Atoms in uniformities

Pelant, Jan, Reiterman, Jiří (1975)

Seminar Uniform Spaces

Atoms in uniformities

Reiterman, J. (1976)

Abstracta. 4th Winter School on Abstract Analysis

Atoms in uniformities and proximities

Pelant, J., Reiterman, J. (1977)

General topology and its relations to modern analysis and algebra IV

Atomy ve svazu uniformit

Jan Reiterman, Vojtěch Rödl (1980)

Pokroky matematiky, fyziky a astronomie

Attouch-Wets convergence and Kuratowski convergence on compact sets

Paolo Piccione, Rosella Sampalmieri (1995)

Commentationes Mathematicae Universitatis Carolinae

Let $X$ be a locally connected, $b$ -compact metric space and $E$ a closed subset of $X$ . Let $𝔾$ be the space of all continuous real-valued functions defined on some closed subsets of $E$ . We prove the equivalence of the $τ_{_{a w}}$ and $τ_{_{K}}^{c}$ topologies on $𝔾$ , where $τ_{_{a w}}$ is the so called Attouch-Wets topology, defined in terms of uniform convergence of distance functionals, and $τ_{_{K}}^{c}$ is the topology of Kuratowski convergence on compacta.

Attractive operators and fixed points

Beatriz Margolis (1972)

Annales Polonici Mathematici

Attractors and a fixed point theorem in locally convex space

Hwei Mei Ko, Kok Keong Tan (1980)

Commentationes Mathematicae Universitatis Carolinae

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