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 </m...

The equilibrium problem defined by the Nikaidô–Isoda–Fan inequality contains a number of problems such as optimization, variational inequality, Kakutani fixed point, Nash equilibria, and others special cases. This paper presents picture for relationship between points Moreau proximal mapping solutions that satisfies some kinds monotonicity Lipschitz-type condition.

Abstract The paper deals with the random time-dependent oligopolistic market equilibrium problem. For such a problem firms’ point of view has been analyzed in Barbagallo and Guarino Lo Bianco (Optim. Lett. 14 : 2479–2493, 2020) while here policymaker’s is studied. dynamic optimal control conditions are expressed by means an inverse stochastic variational inequality which proved to be equivalent...