Global Optimality Conditions for Some Classes of Optimization Problems

Z. Y. Wu () and A. M. Rubinov
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Z. Y. Wu: University of Ballarat
A. M. Rubinov: University of Ballarat

Journal of Optimization Theory and Applications, 2010, vol. 145, issue 1, No 10, 164-185

Abstract: Abstract We establish new necessary and sufficient optimality conditions for global optimization problems. In particular, we establish tractable optimality conditions for the problems of minimizing a weakly convex or concave function subject to standard constraints, such as box constraints, binary constraints, and simplex constraints. We also derive some new necessary and sufficient optimality conditions for quadratic optimization. Our main theoretical tool for establishing these optimality conditions is abstract convexity.

Keywords: Global optimization; Optimality conditions; Abstract convexity (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-009-9616-2

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