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Applicable Analysis
An International Journal
Volume 5, 1976 - Issue 3
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Original Articles

Nonlinear programming without differentiability in banach spaces: necessary and sufficient constraint qualification

M.S. Bazaraa School of Industrial and Systems Engineering, Georgia institute of Technology, Atlanta, Georgia, U.S.A.
,
C.M. Shetty School of Industrial and Systems Engineering, Georgia institute of Technology, Atlanta, Georgia, U.S.A.
,
J.J. Goode School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia, U.S.A.
&
M.Z. Nashed Mathematics Research Center, University of Wisconsin, Madison, Wisconsin, 53706, U.S.A.
Pages 165-173 | Received 07 Jan 1971, Published online: 04 Mar 2011

Citations (11)

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Ekkehard Sachs. (1978) Differentiability in optimization theory . Mathematische Operationsforschung und Statistik. Series Optimization 9:4, pages 497-513.
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Articles from other publishers (10)

Akhtar A. Khan, Christiane Tammer & Constantin ZălinescuAkhtar A. Khan, Christiane Tammer & Constantin Zălinescu. 2015. Set-valued Optimization. Set-valued Optimization 109 211 .
Felipe Alvarez, Jorge Amaya, Andreas Griewank & Nikolai Strogies. (2010) A continuous framework for open pit mine planning. Mathematical Methods of Operations Research 73:1, pages 29-54.
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J. P. Penot. (1986) A new constraint qualification condition. Journal of Optimization Theory and Applications 48:3, pages 459-468.
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J. M. Borwein & H. Wolkowicz. 1982. Optimality and Stability in Mathematical Programming. Optimality and Stability in Mathematical Programming 77 100 .
M. Vlach. (1981) Approximation operators in optimization theory. Zeitschrift für Operations Research 25:1, pages 15-23.
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Henry Wolkowicz. (1980) Geometry of optimality conditions and constraint qualifications: The convex case. Mathematical Programming 19:1, pages 32-60.
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J.M Borwein. (1980) Lexicographic multipliers. Journal of Mathematical Analysis and Applications 78:1, pages 309-327.
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J. Borwein. (1978) Weak Tangent Cones and Optimization in a Banach Space. SIAM Journal on Control and Optimization 16:3, pages 512-522.
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M. Z. Nashed. (1977) An Algorithmic Approach to Nonlinear Analysis and Optimization (Edward J. Beltrami); The Approximate Minimization of Functionals (James W. Daniel); Approximate Methods in Optimization Problems (Vladimir F. Demyanov and Aleksandr M. Rumnov); Computational Methods in Optimization : A Unified Approach (E. Polak); Necessary Conditions for an Extremum (N. Pshenichnyi). SIAM Review 19:2, pages 341-358.
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M.S Bazaraa & J.J Goode. (1972) Necessary optimality criteria in mathematical programming in the presence of differentiability. Journal of Mathematical Analysis and Applications 40:3, pages 609-621.
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