The Farkas lemma of Glover

Charles W. Swartz

Commentationes Mathematicae Universitatis Carolinae (1985)

  • Volume: 026, Issue: 4, page 651-654
  • ISSN: 0010-2628

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Swartz, Charles W.. "The Farkas lemma of Glover." Commentationes Mathematicae Universitatis Carolinae 026.4 (1985): 651-654. <http://eudml.org/doc/17414>.

@article{Swartz1985,
author = {Swartz, Charles W.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {convex functions; subgradients; Krein-Šmulian theorem; functional analysis; nonlinear version of the classical Farkas Lemma},
language = {eng},
number = {4},
pages = {651-654},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The Farkas lemma of Glover},
url = {http://eudml.org/doc/17414},
volume = {026},
year = {1985},
}

TY - JOUR
AU - Swartz, Charles W.
TI - The Farkas lemma of Glover
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1985
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 026
IS - 4
SP - 651
EP - 654
LA - eng
KW - convex functions; subgradients; Krein-Šmulian theorem; functional analysis; nonlinear version of the classical Farkas Lemma
UR - http://eudml.org/doc/17414
ER -

References

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  1. B. GLOVER, A generalized Farkas Lemma with applications to quasi-differentiable programming, Zeit. Oper. Res. 26 (1982), 125-141. (1982) MR0686601
  2. J. HORVATH, Topological Vector Spaces and Distributions, Addison-Wesley, Reading, Mass., 1966. (1966) Zbl0143.15101MR0205028
  3. S. KURCYUSZ, On the existence and nonexistence of Lagrange multipliers in Banach spaces, J. Opt. Theory Appl. 20 (1976), 81-110. (1976) Zbl0309.49010MR0424249
  4. J-P. FENOT, On the existence of Lagrange multipliers in nonlinear programming in Banach spaces, Lecture Hotes in Control and Information Sciences, 30, 1980, 89-104. (1980) MR0618476
  5. W. SCHIROTZEK, On Farkas type theorems, Comment. Math. Univ. Carolinae 22 (1981), 1-14. (1981) Zbl0459.47001MR0609932
  6. C. ZALINESCU, A generalization of the Farkas Lemma and applications to convex programming, J. Math. Anal. Appl. 66 (1978), 651-678. (1978) Zbl0396.90070MR0517753
  7. C. ZALINESCU, On an abstract control problem, Numer. Func. Anal. Opt. 2 (1980), 531-542. (1980) Zbl0476.49007MR0605758

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