New Convergence Definitions for Sequences of Sets

被引：19

作者：

Kisi, Omer ^{[1
]}

Nuray, Fatih ^{[1
,2
]}

机构：

[1] Cumhuriyet Univ, Fac Educ, Math Educ Dept, Sivas, Turkey

[2] Afyon Kocatepe Univ, Fac Sci & Literature, Dept Math, Afyon, Turkey

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

CONES;

D O I：

10.1155/2013/852796

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Several notions of convergence for subsets of metric space appear in the literature. In this paper, we define Wijsman I-convergence and Wijsman I*-convergence for sequences of sets and establish some basic theorems. Furthermore, we introduce the concepts of Wijsman I-Cauchy sequence and Wijsman I*-Cauchy sequence and then study their certain properties.

引用

页数：6

共 16 条

[1]

[Anonymous], 1990, SET VALUED ANAL

[2]

Baronti M., 1986, METHODS FUNCTIONAL A, V76, P135

[3] CONVERGENCE OF CONTINUOUS LINEAR FUNCTIONALS AND THEIR LEVEL SETS [J].

BEER, G .

ARCHIV DER MATHEMATIK, 1989, 52 (05) :482-491

[4] ON CONVERGENCE OF CLOSED-SETS IN A METRIC SPACE AND DISTANCE FUNCTIONS [J].

BEER, G .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1985, 31 (03) :421-432

[5]

BORWEIN J, 1994, MICH MATH J, V41, P371

[6] GENERALIZED ASYMPTOTIC DENSITY [J].

BUCK, RC .

AMERICAN JOURNAL OF MATHEMATICS, 1953, 75 (02) :335-346

[7]

FAST H., 1951, Colloq. Math., V2, P241

[8] DENSITIES AND SUMMABILITY [J].

FREEDMAN, AR ;

SEMBER, JJ .

PACIFIC JOURNAL OF MATHEMATICS, 1981, 95 (02) :293-305

[9]

Kisi O., 2013, MATH ANAL, V2013

[10]

Kostyrko P., 2005, Mathematica Slovaca, V55, P443

← 1 2 →