ON VARIATIONAL INEQUALITIES AND NONLINEAR PROGRAMMING

被引：3

作者：

Ivanov, Vsevolod I. ^{[1
]}

机构：

[1] Tech Univ Varna, Dept Math, Varna 9010, Bulgaria

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2008年 / 45卷 / 04期

关键词：

Variational inequalities; generalized convexity; nonsmooth analysis; nonsmooth optimization; generalized monotonicity;

D O I：

10.1556/SScMath.2007.1060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the Stampacchia variational inequality, the Minty variational inequality, and the respective nonlinear programming problem are investigated in terms of the lower Dini directional derivative. We answer the questions which are the largest classes of functions such that the solution sets of each pair of these problems coincide.

引用

页码：483 / 491

页数：9

共 11 条

[1] [Anonymous], B AM MATH SOC
[2] Existence of solutions and star-shapedness in Minty Variational Inequalities
Crespi, GP
Ginchev, I
Rocca, M
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2005, 32 (04) : 485 - 494
[3] Minty variational inequalities, increase-along-rays property and optimization
Crespi, GP
Ginchev, I
Rocca, M
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2004, 123 (03) : 479 - 496
[4] Diewert WE., 1981, GEN CONCAVITY OPTIMI, P51
[5] John R, 1998, NONCON OPTIM ITS APP, V27, P291
[6] John R., 2001, LECT NOTES EC MATH S, P240
[7] 7 KINDS OF MONOTONE MAPS
KARAMARDIAN, S
SCHAIBLE, S
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1990, 66 (01) : 37 - 46
[8] Komlosi, 1994, GEN CONVEXITY, P263
[9] SOME PROPERTIES OF NONDIFFERENTIABLE PSEUDO-CONVEX FUNCTIONS
KOMLOSI, S
[J]. MATHEMATICAL PROGRAMMING, 1983, 26 (02) : 232 - 237
[10] Komlosi S., 1999, Generalized Convexity and Optimization for Economic and Financial Decisions, P231

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