扰动广义混合变分不等式的可解性

doi:10.16088/j.issn.1001-6600.2018.01.010

Abstract

Abstract: The existence of solutions for a generalized mixed variational inequality with perturbation is investigated in this paper. Two perturbed ways of a set-valued mapping are introduced: one is perturbed by a continuous and single-valued mapping,and the other is perturbed by a vector in the interior of the barrier cone of the constrained set. Under rather weak conditions, it is shown that the generalized mixed variational inequality perturbed by two ways mentioned above has a solution. The main results may be used in some price equilibrium model in the field of economics, which generalize and improve some known results.

Key words: mixed variational inequality, perturbation, existence, coercivity condition

CLC Number:

O221.2

TANG Guoji. Solvability for Generalized Mixed Variational Inequalities with Perturbation[J].Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(1): 76-83.

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Solvability for Generalized Mixed Variational Inequalities with Perturbation

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