A generalized variational principle

被引：8

作者：

Loewen, PD ^{[1
]}

Wang, XF

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

[2] Okanagan Univ Coll, Dept Math & Stat, Kelowna, BC V1V 1V7, Canada

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2001年 / 53卷 / 06期

关键词：

variational principle; strong minimizer; generalized Smulyan test; Asplund space; dimple point; porosity;

D O I：

10.4153/CJM-2001-044-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a strong variant of the Borwein-Preiss Variational principle, and show that on Asplund spaces, Stegall's variational principle follows from it via a generalized Smulyan test. Applications are discussed.

引用

页码：1174 / 1193

页数：20

共 50 条

[1] Generalized Variational Principle and Vector Optimization
J. Zhu
C. K. Zhong
Y. J. Cho
[J]. Journal of Optimization Theory and Applications, 2000, 106 : 201 - 217
[2] GENERALIZED VARIATIONAL PRINCIPLE FOR THE SCATTERING AMPLITUDE
RUBINOW, SI
[J]. PHYSICAL REVIEW, 1954, 96 (01): : 218 - 219
[3] A GENERALIZED VARIATIONAL PRINCIPLE FOR POTENTIALIZABLE OPERATORS
DEOLIVEIRA, AM
BORUSZEWSKI, W
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1992, 27 (06) : 1015 - 1024
[4] A generalized variational principle in micromorphic thermoelasticity
He, JH
[J]. MECHANICS RESEARCH COMMUNICATIONS, 2005, 32 (01) : 93 - 98
[5] A GENERALIZED VARIATIONAL PRINCIPLE FOR TRANSPORT PHENOMENA
TAUBER, GE
[J]. CANADIAN JOURNAL OF PHYSICS, 1958, 36 (10) : 1308 - 1318
[6] VARIATIONAL PRINCIPLE FOR A GENERALIZED RABINOWITSCH LUBRICATION
Ma, Hongjin
[J]. THERMAL SCIENCE, 2023, 27 (3A): : 2001 - 2007
[7] Generalized variational principle and vector optimization
Zhu, J
Zhong, CK
Cho, YJ
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2000, 106 (01) : 201 - 217
[8] A METHOD FOR ESTABLISHING GENERALIZED VARIATIONAL PRINCIPLE
薛大为
[J]. Applied Mathematics and Mechanics(English Edition), 1985, (06) : 501 - 509
[9] VARIATIONAL PRINCIPLE AND GENERALIZED VARIATIONAL PRINCIPLE IN HYDRODYNAMICS OF A CLASS OF NON－NEWTONIAN FLUID
沈敏
孙其仁
[J]. Applied Mathematics and Mechanics(English Edition), 1995, (04)
[10] Generalized Variational Principle for Dissipative Continuum Mechanics
Maximov, German A.
[J]. MECHANICS OF GENERALIZED CONTINU A: ONE HUNDRED YEARS AFTER THE COSSERATS, 2010, 21 : 297 - 305

← 1 2 3 4 5 →