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We first propose some regularized gap functions of this problem using the concept of<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\mathcal {G}_{A}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msub><mml:mi>G<\/mml:mi><mml:mi>A<\/mml:mi><\/mml:msub><\/mml:math><\/jats:alternatives><\/jats:inline-formula>-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.<\/jats:p>","DOI":"10.1007\/s10898-021-01056-5","type":"journal-article","created":{"date-parts":[[2021,7,26]],"date-time":"2021-07-26T07:03:01Z","timestamp":1627282981000},"page":"139-159","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Error bound analysis for vector equilibrium problems with partial order provided by a polyhedral cone"],"prefix":"10.1007","volume":"82","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6123-1916","authenticated-orcid":false,"given":"Nguyen Van","family":"Hung","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9033-3180","authenticated-orcid":false,"given":"Vicente","family":"Novo","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3959-5449","authenticated-orcid":false,"given":"Vo Minh","family":"Tam","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,7,24]]},"reference":[{"key":"1056_CR1","doi-asserted-by":"publisher","first-page":"5935","DOI":"10.1007\/s40314-018-0670-y","volume":"37","author":"LQ Anh","year":"2018","unstructured":"Anh, L.Q., Hung, N.V., Tam, V.M.: Regularized gap functions and error bounds for generalized mixed strong vector quasiequilibrium problems. 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