Cone Characterizations of Approximate Solutions in Real Vector Optimization

A. Engau () and M. M. Wiecek
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A. Engau: Clemson University
M. M. Wiecek: Clemson University

Journal of Optimization Theory and Applications, 2007, vol. 134, issue 3, No 9, 499-513

Abstract: Abstract Approximate nondominated solutions of real vector optimization problems are characterized using the concept of translated cones. Relationships between these solutions and Pareto nondominated points are examined, and the problem of optimizing over the set of approximate solutions is addressed.

Keywords: Approximate solutions; Epsilon-efficient solutions; Epsilon-minimal elements; Translated cones (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/s10957-007-9235-8

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