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Publication Cover
Applicable Analysis
An International Journal
Volume 11, 1980 - Issue 1
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Original Articles

Complete characterization of optimality for convex programming in banach spacesFootnote†

B.D. Craven Mathematics Department, University of Melbourne, Parkville, Victoria, 3052, Australia
&
S. Zlobec Department of Mathematics, McGill University, Montreal, Quebec, Canada
Pages 61-78 | Received 27 Apr 1979, Published online: 02 May 2007

Citations (17)

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B. M. Glover, B. D. Craven & S. D. Flam. (1993) A generalized karush-kuhn-tucki optimality condition without constraint qualification using tl approximate subdifferential. Numerical Functional Analysis and Optimization 14:3-4, pages 333-353.
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B. D. Craven, B. M. Glover & S. Zlobec. (1983) On minimization subject to cone constraints. Numerical Functional Analysis and Optimization 6:4, pages 363-378.
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L.I. Trudzik. (1982) Asymptotic kuhn-tucker conditions in abstract spaces. Numerical Functional Analysis and Optimization 4:4, pages 355-369.
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S. Zlobec & B.U. Craven. (1981) Stabilization and determination of the set of minimal binding constraints in convex programming . Mathematische Operationsforschung und Statistik. Series Optimization 12:2, pages 203-220.
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Articles from other publishers (13)

V. Jeyakumar. (1997) Asymptotic Dual Conditions Characterizing Optimality for Infinite Convex Programs. Journal of Optimization Theory and Applications 93:1, pages 153-165.
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D. S. Jovanov. (1992) Variational inequalities with cone constraints. Journal of Optimization Theory and Applications 75:1, pages 87-99.
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V. Jeyakumar. (1987) A general Farkas lemma and characterization of optimality for a nonsmooth program involving convex processes. Journal of Optimization Theory and Applications 55:3, pages 449-461.
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Joachim Gwinner. 1987. Recent Advances and Historical Development of Vector Optimization. Recent Advances and Historical Development of Vector Optimization 137 145 .
J. Gwinner. (1985) An extension lemma and homogeneous programming. Journal of Optimization Theory and Applications 47:3, pages 321-336.
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L.I. Trudzik. (1985) Perturbed convex programming in reflexive Banach spaces. Nonlinear Analysis: Theory, Methods & Applications 9:1, pages 61-78.
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Bevil M. Glover. (2009) Generalized convexity in nondifferentiable programming. Bulletin of the Australian Mathematical Society 30:2, pages 193-218.
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L. I. Trudzik. (2009) Continuity properties of vector-valued convex functions. Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 36:3, pages 404-415.
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L. I. Trudzik. (1983) On optimality in abstract convex programming. Zeitschrift für Operations Research 27:1, pages 1-16.
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J. M. Borwein & H. Wolkowicz. 1982. Optimality and Stability in Mathematical Programming. Optimality and Stability in Mathematical Programming 77 100 .
A. Ben-Israel, A. Ben-Tal & S. Zlobec. 1982. Optimality and Stability in Mathematical Programming. Optimality and Stability in Mathematical Programming 16 38 .
Jon M. Borwein. (2009) Characterization of optimality for the abstract convex program with finite dimensional range. Journal of the Australian Mathematical Society 30:4, pages 390-411.
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Jon M. Borwein & Henry Wolkowicz. (2009) Facial reduction for a cone-convex programming problem. Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 30:3, pages 369-380.
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