Wolfe Duality for Interval-Valued Optimization
H. C. Wu ()
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H. C. Wu: National Kaohsiung Normal University
Journal of Optimization Theory and Applications, 2008, vol. 138, issue 3, No 11, 497-509
Abstract:
Abstract Weak and strong duality theorems in interval-valued optimization problem based on the formulation of the Wolfe primal and dual problems are derived. The solution concepts of the primal and dual problems are based on the concept of nondominated solution employed in vector optimization problems. The concepts of no duality gap in the weak and strong sense are also introduced, and strong duality theorems in the weak and strong sense are then derived.
Keywords: Hausdorff metric; Hukuhara difference; H-differentiability; Wolfe primal and dual problems; Weak and strong duality theorems (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10957-008-9396-0
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