Journal
JOURNAL OF GLOBAL OPTIMIZATION
Volume 57, Issue 2, Pages 447-465Publisher
SPRINGER
DOI: 10.1007/s10898-012-9994-0
Keywords
Almost quasi epsilon-Pareto solution; Quasi epsilon-Pareto saddle point; epsilon-Vector Lagrangian
Funding
- Basic Science Research Program through the National Research Foundation of Korea (NRF)
- Ministry of Education, Science and Technology [2010-0012780]
- National Foundation for Science and Technology Development (NAFOSTED), Vietnam
- National Research Foundation of Korea [2010-0012780] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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Using a scalarization method, approximate optimality conditions of a multiobjective nonconvex optimization problem which has an infinite number of constraints are established. Approximate duality theorems for mixed duality are given. Results on approximate duality in Wolfe type and Mond-Weir type are also derived. Approximate saddle point theorems of an approximate vector Lagrangian function are investigated.
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