Limit vector variational inequalities and market equilibrium problems
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In a finite-dimensional setting we investigate the solvability of a general vector variational inequality via the convergence of solutions of suitable approximating vector variational inequalities defined with more regular data. The theoretical results obtained in a very general framework are successfully applied to the study of a vector market equilibrium problem where instead of exact values of the cost mapping, feasible set and order cone, only approximation sequences of these data are available.
KeywordsVector variational inequality Kuratowski convergence Approximation sequence Coercivity conditions
In this work, the second author was funded by the subsidy allocated to Kazan Federal University for the state assignment in the sphere of scientific activities, Project No. 1.13556.2019/13.1 and was also supported by Russian Foundation for Basic Research, Project No. 19-01-00431.
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