FIRST AND SECOND-ORDER OP TIMALITY CONDITIONS USING APPROXIMATIONS FOR VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTS
DOI:
https://doi.org/10.37569/DalatUniversity.2.3.202(2012)Keywords:
Equilibrium problems, Optimality conditions, First and second-order approximations, Weak solutions, Firm solutions, Henig-proper solutions, Strong Henig-proper solutions, Benson-proper solutionsAbstract
We consider various kinds of solutions to nonsmooth vector equilibrium problems with functional constraints. By using first and second-order approximations as generalise derivatives we establish both necessary and sufficient optimality conditions. Our first-order conditions are shown to be applicable in many cases, where existing ones cannot be applied. The second-order conditions are new.
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Published
30-09-2012
Volume and Issues
Section
Natural Sciences and Technology
Copyright & License
Copyright (c) 2012 Phan Quốc Khánh, Lê Thanh Tùng
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
How to Cite
Khánh, P. Q., & Tùng, L. T. (2012). FIRST AND SECOND-ORDER OP TIMALITY CONDITIONS USING APPROXIMATIONS FOR VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTS. Dalat University Journal of Science, 2(3), 1-7. https://doi.org/10.37569/DalatUniversity.2.3.202(2012)
