Search Results

You are looking at 1 - 10 of 15 items for :

  • "semi-continuous" x
  • All content x
Clear All

In this paper, we characterize k-semi-stratifiable spaces by semi-continuous functions and give some applications. Also we give the similar characterizations of MCM spaces and K-MCM spaces.

Restricted access

Abstract  

We investigate the relations between decreasing sequences of sets and the insertion of semi-continuous functions, and give some characterizations of countably metacompact spaces, countably paracompact spaces, monotonically countably paracompact spaces (MCP), monotonically countably metacompact spaces (MCM), perfectly normal spaces and stratifiable spaces.

Restricted access
In this paper we prove the existence of solutions of the differential inclusions
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\left\{ \begin{gathered} \dot X(t) \in - A_t (X(t)) + F(t,X(t)),,0 \leqslant t \leqslant T_0 \hfill \\ X(0) = x_0 \hfill \\ \end{gathered} \right.$$ \end{document}
whereA t is a multivaluedm-accretive operator on a Banach spaceE andF is a measurable multifunction defined on the set , lower semicontinuous inx and its values are not necessarily convex inE. This result generalizes some results in [1] and [9].
Restricted access

Abstract  

In [4], Dlaska introduced the class of almost rc-Lindelf sets and studied some basic properties of such sets. In this paper, we obtain further results concerning almost rc-Lindelf sets. We also introduce new concepts to obtain several mapping properties concerning almost rc-Lindelf sets and almost rc-Lindelf spaces. The property of being an almost rc-Lindelf set is invariant under functions which are slightly continuous and weakly θ-irresolute. It is also shown that the property of being an almost rc-Lindelf space is inverse invariant under functions which are weakly almost open, ω-regular open, and whose fibers are S-sets.

Restricted access

Abstract

Extremal disconnectedness is further investigated for generalized topological spaces. It is found that extremally disconnected generalized topological spaces are a rich source of generalized lower semi-continuous and generalized upper semi-continuous mappings.

Restricted access

Summary  

The following two theorems are obtained. (1) A mapping fis A-continuous if and only if it is semi-continuous and C-continuous. (2) A mapping f is A-continuous if and only if it is spr-continuous and LC-continuous.

Restricted access

Abstract  

The following two decomposition theorems are obtained. (1) A function f is α-continuous if and only if f is pre-continuous and αα-continuous, (2) A function f is semi-continuous if and only if f is spr-continuous and αLC-continuous.

Restricted access

. 2003 Selections and sandwich-like properties via semi-continuous Banach-valued functions J. Math. Soc. Japan 55 499 – 521 10.2969/jmsj/1191419128 . [6] Katětov , M. 1951

Restricted access

maps between topological spaces Mem. Fac. Sci. Kochi Univ. Ser. A Math. 20 93 – 104 . [7] Arya , S. P. , Bhamini , M. P. 1982 Some weaker forms of semi-continuous functions Ganita 33

Restricted access