Error bound analysis for vector equilibrium problems with partial order provided by a polyhedral cone
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AbstractThe aim of this paper is to establish new results on the error bounds for a class of vector equilibrium problems with partial order provided by a polyhedral cone generated by some matrix. We first propose some regularized gap functions of this problem using the concept of $$\mathcal {G}_{A}$$ G A -convexity of a vector-valued function. Then, we derive error bounds for vector equilibrium problems with partial order given by a polyhedral cone in terms of regularized gap functions under some suitable conditions. Finally, a real-world application to a vector network equilibrium problem is given to illustrate the derived theoretical results.
2015 ◽
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2014 ◽
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pp. 767-776
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2008 ◽
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pp. 853-865
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2014 ◽
Vol 22
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pp. 673-689
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