Second-order necessary conditions for discrete inclusions with end point constraints

Aurelian Cernea

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2005)

  • Volume: 25, Issue: 1, page 47-58
  • ISSN: 1509-9407

Abstract

top
We study an optimization problem given by a discrete inclusion with end point constraints. An approach concerning second-order optimality conditions is proposed.

How to cite

top

Aurelian Cernea. "Second-order necessary conditions for discrete inclusions with end point constraints." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 25.1 (2005): 47-58. <http://eudml.org/doc/271525>.

@article{AurelianCernea2005,
abstract = {We study an optimization problem given by a discrete inclusion with end point constraints. An approach concerning second-order optimality conditions is proposed.},
author = {Aurelian Cernea},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {tangent cone; discrete inclusion; necessary optimality conditions},
language = {eng},
number = {1},
pages = {47-58},
title = {Second-order necessary conditions for discrete inclusions with end point constraints},
url = {http://eudml.org/doc/271525},
volume = {25},
year = {2005},
}

TY - JOUR
AU - Aurelian Cernea
TI - Second-order necessary conditions for discrete inclusions with end point constraints
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2005
VL - 25
IS - 1
SP - 47
EP - 58
AB - We study an optimization problem given by a discrete inclusion with end point constraints. An approach concerning second-order optimality conditions is proposed.
LA - eng
KW - tangent cone; discrete inclusion; necessary optimality conditions
UR - http://eudml.org/doc/271525
ER -

References

top
  1. [1] J.P. Aubin and H. Frankowska, Set-valued Analysis, Birkhäuser, Basel 1990. 
  2. [2] A. Ben-Tal and J. Zowe, A unified theory of first and second order conditions for extremum problems in topological vector spaces, Math. Programming Study 19 (1982), 39-76. Zbl0494.49020
  3. [3] A. Cernea, On some second-order necessary conditions for differential inclusion problems, Lecture Notes Nonlin. Anal. 2 (1998), 113-121. Zbl1096.49517
  4. [4] A. Cernea, Some second-order necessary conditions for nonconvex hyperbolic differential inclusion problems, J. Math. Anal. Appl. 253 (2001), 616-639. Zbl0971.49013
  5. [5] A. Cernea, Derived cones to reachable sets of discrete inclusions, submitted. Zbl1213.93012
  6. [6] A. Cernea, On the maximum principle for discrete inclusions with end point constraints, Math. Reports, to appear. Zbl1069.49019
  7. [7] H.D. Tuan and Y. Ishizuka, On controllability and maximum principle for discrete inclusions, Optimization 34 (1995), 293-316. Zbl0854.93082
  8. [8] H. Zheng, Second-order necessary conditions for differential inclusion problems, Appl. Math. Opt. 30 (1994), 1-14. Zbl0806.49017

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.