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$α$ -continuous and $α$ -irresolute multifunctions

Jiling Cao, Ivan L. Reilly (1996)

Mathematica Bohemica

Recently Popa and Noiri [10] established some new characterizations and basic properties of $α$ -continuous multifunctions. In this paper, we improve some of their results and examine further properties of $α$ -continuous and $α$ -irresolute multifunctions. We also make corrections to some theorems of Neubrunn [7].

$α$ -fuzzy compactness in $I$ -topological spaces.

Gregori, Valentín, Künzi, Hans-Peter A. (2003)

International Journal of Mathematics and Mathematical Sciences

β-open and β-continuous mappings in fuzzy bitopological spaces

S. S. Thakur, Annamma Philip (1995)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

$δ$ -complétion et $G_{δ}$ -densité

A. Deaibes, R. Pupier (1972)

Publications du Département de mathématiques (Lyon)

$ε$ -approximation and fixed points of nonexpansive mappings in metric spaces

T. D. Narang, Sumit Chandok (2009)

Matematički Vesnik

$π$ -mappings in $l s$ -Ponomarev-systems

Nguyen Van Dung (2011)

Archivum Mathematicum

We use the $l s$ -Ponomarev-system $(f, M, X, {𝒫_{λ, n}})$ , where $M$ is a locally separable metric space, to give a consistent method to construct a $π$ -mapping (compact mapping) with covering-properties from a locally separable metric space $M$ onto a space $X$ . As applications of these results, we systematically get characterizations of certain $π$ -images (compact images) of locally separable metric spaces.

$σ$ -porosity in monotonic analysis with applications to optimization.

Rubinov, A.M. (2005)

Abstract and Applied Analysis

$σ$ -porosity is separably determined

Marek Cúth, Martin Rmoutil (2013)

Czechoslovak Mathematical Journal

We prove a separable reduction theorem for $σ$ -porosity of Suslin sets. In particular, if $A$ is a Suslin subset in a Banach space $X$ , then each separable subspace of $X$ can be enlarged to a separable subspace $V$ such that $A$ is $σ$ -porous in $X$ if and only if $A \cap V$ is $σ$ -porous in $V$ . Such a result is proved for several types of $σ$ -porosity. The proof is done using the method of elementary submodels, hence the results can be combined with other separable reduction theorems. As an application we extend a theorem...