subdifferential mapping
Recently Published Documents

TOTAL DOCUMENTS

9
(FIVE YEARS 1)

H-INDEX

3
(FIVE YEARS 0)
Latest Documents Most Cited Documents Contributed Authors Related Sources Related Keywords

Second-order characterization of convex functions and its applications

2019 ◽  
Vol 25 (1) ◽  
pp. 49-58
Author(s):  
Mohammad Taghi Nadi ◽  
Jen Chih Yao ◽  
Jafar Zafarani
Keyword(s):  
Convex Functions ◽  
Optimization Problems ◽  
Second Order ◽  
Subdifferential Mapping

Abstract Some developments of the second-order characterizations of convex functions are investigated by using the coderivative of the subdifferential mapping. Furthermore, some applications of the second-order subdifferentials in optimization problems are studied.

scholarly journals A CONTINUITY CHARACTERIZATION OF ASPLUND SPACES

2011 ◽  
Vol 83 (3) ◽  
pp. 450-455
Author(s):  
J. R. GILES
Keyword(s):  
Banach Space ◽  
Asplund Space ◽  
Weakly Compact ◽  
Asplund Spaces ◽  
Subdifferential Mapping

AbstractA Banach space is an Asplund space if every continuous gauge has a point where the subdifferential mapping is Hausdorff weak upper semi-continuous with weakly compact image. This contributes towards the solution of a problem posed by Godefroy, Montesinos and Zizler.

scholarly journals Subgradient representation of multifunctions

1999 ◽  
Vol 40 (3) ◽  
pp. 301-313 ◽  
Author(s):  
J. Borwein ◽  
W. B. Moors ◽  
Y. Shao
Keyword(s):  
Banach Space ◽  
Lipschitz Function ◽  
Separable Banach Space ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Upper Semicontinuous ◽  
Subdifferential Mapping ◽  
Necessary And Sufficient ◽  
Upper Semicontinuous Multifunction

AbstractWe provide necessary and sufficient conditions for a minimal upper semicontinuous multifunction defined on a separable Banach space to be the subdifferential mapping of a Lipschitz function.

scholarly journals The Continuity of Subdifferential Mapping

1997 ◽  
Vol 210 (1) ◽  
pp. 206-214 ◽  
Author(s):  
Jian-Hua Wang ◽  
Chao-Xun Nan
Keyword(s):  
Subdifferential Mapping

scholarly journals Second-order normal vectors to a convex epigraph

1994 ◽  
Vol 50 (1) ◽  
pp. 123-134 ◽  
Author(s):  
Alberto Seeger
Keyword(s):  
Convex Function ◽  
Mathematical Object ◽  
Second Order ◽  
Normal Vector ◽  
Subdifferential Mapping ◽  
Normal Vectors

The second–order behaviour of a nonsmooth convex function f is reflected by the so–called second–order subdifferential mapping ∂2f. This mathematical object has been intensively studied in recent years. Here we study ∂2f in connection with the geometric concept of “second-order normal vector” to the epigraph of f.

Upper Semi-Continuity of Subdifferential Mappings

1980 ◽  
Vol 23 (1) ◽  
pp. 11-19 ◽  
Author(s):  
David A. Gregory
Keyword(s):  
Convex Function ◽  
Continuous Convex Function ◽  
Subdifferential Mapping

AbstractCharacterizations of the upper semi-continuity of the subdifferential mapping of a continuous convex function are given.

Load More ...
Sign in / Sign up

Export Citation Format

Share Document