Fréchet approach to generalized second-order differentiability-Reference-Cited by-同舟云学术

Fréchet approach to generalized second-order differentiability

Published:2008-09-01 Issue:3 Volume:45 Page:333-352
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:

Author:

Pastor Karel¹

Affiliation:

1. 1 Palacký University Department of Mathemathical Analysis, Faculty of Science Tř. Svobody 26 771 46 Olomouc Czech Republic

Abstract

The Fréchet approach to generalized second-order differentiability gives new sufficient optimality conditions for locally Lipschitz functions what seems to be useful for C1,1 functions and functions possessing minimal subdifferential above all.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.2008.1054

Reference39 articles.

1. Second-order optimality conditions in generalized semi-infinite programming;Rückmann J. J.;Set-Valued Anal.,2001

2. Variational Analysis

3. Wang, X. , Pathological Lipschitz functions in ℝ ^N , CECM Preprint 95:048, 1995.

4. Wang, X. , Fine and topological properties of subdifferentials, CECM Preprint 99:134, 1999.

5. Generalized second-order characterizations of convex functions;Yang X. Q.;J. Optim. Theory Appl.,1994

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On relations of vector optimization results with C 1,1 data;Acta Mathematica Sinica, English Series;2010-10-15

2. Decrease ofC1,1property in vector optimization;RAIRO - Operations Research;2009-10

3. Fréchet approach in second-order optimization;Applied Mathematics Letters;2009-06