Error bound analysis for vector equilibrium problems with partial order provided by a polyhedral cone

Abstract The aim of this paper is to establish new results on the error bounds for a class vector equilibrium problems with partial order provided by polyhedral cone generated some matrix. We first propose regularized gap functions problem using concept $$\mathcal {G}_{A}$$ G A -convexity vector-valued function. Then, we derive given in terms under suitable conditions. Finally, real-world application network illustrate derived theoretical results.