Fan's inequalities for vector-valued multifunctions

被引：1

作者：

Georgiev, PG

Tanaka, T

机构：

[1] Univ Sofia, Dept Math & Informat, BU-1126 Sofia, Bulgaria

[2] Hirosaki Univ, Fac Sci & Technol, Dept Math Syst Sci, Hirosaki, Aomori 0368561, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2000年 / 76卷 / 09期

关键词：

Fan's inequality; vector-valued multifunctions; semicontinuous mappings; quasiconvex functions;

D O I：

10.3792/pjaa.76.153

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present four variants of Fan's type inequality for vector-valued multifunctions in topological vector spaces with respect to a cone preorder in the target space, when the functions and the cone possess various kinds of semicontinuity and convexity properties. Using the classical scaler Fan inequality, we prove directly a two-function result of Simons, which is used to establish our main tool for proving: the presented results.

引用

页码：153 / 157

页数：5

共 9 条

[1] An existence result for the generalized vector equilibrium problem
Ansari, QH
Yao, JC
[J]. APPLIED MATHEMATICS LETTERS, 1999, 12 (08) : 53 - 56
[2] Aubin J. P., 1990, Set-valued analysis, DOI 10.1007/978-0-8176-4848-0
[3] Aubin J.-P., 1984, Differential Inclusions
[4] Georgiev PG., 2000, J. Nonlinear Convex Anal, V1, P245
[5] Kimura Y, 1999, NONLINEAR ANAL CONVE, P181
[6] On cone convexity of set-valued maps
Kuroiwa, D
Tanaka, T
Truong, XDH
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (03) : 1487 - 1496
[7] SIMONS S, 1986, P SYMP PURE MATH, V45, P377
[8] NONLINEAR VARIATIONAL INEQUALITIES AND FIXED-POINT THEOREMS
TAKAHASHI, W
[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1976, 28 (01) : 168 - 181
[9] ANOTHER OBSERVATION ON CONDITIONS ASSURING INTA+B = INT(A+B)
TANAKA, T
KUROIWA, D
[J]. APPLIED MATHEMATICS LETTERS, 1994, 7 (01) : 19 - 22

← 1 →