Optimality Conditions for Vector Optimization Problems with Difference of Convex Maps

X. L. Guo () and S. J. Li ()
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X. L. Guo: Chongqing University
S. J. Li: Chongqing University

Journal of Optimization Theory and Applications, 2014, vol. 162, issue 3, No 8, 844 pages

Abstract: Abstract In this paper, by using the notion of strong subdifferential and epsilon-subdifferential, necessary optimality conditions are established firstly for an epsilon-weak Pareto minimal point and an epsilon-proper Pareto minimal point of a vector optimization problem, where its objective function and constraint set are denoted by using differences of two vector-valued maps, respectively. Then, by using the concept of approximate pseudo-dissipativity, sufficient optimality conditions are obtained. As an application of these results, sufficient and necessary optimality conditions are also given for an epsilon-weak Pareto minimal point and an epsilon-proper Pareto minimal point of a vector fractional mathematical programming.

Keywords: Optimality condition; Epsilon-weak minimal point; Epsilon-proper minimal point; Difference of vector-valued map (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-013-0327-3

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