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Article Contents

# Levitin-Polyak well-posedness for variational inequalities and for optimization problems with variational inequality constraints

• In this paper, we study the Levitin-Polyak type well-posedness of variational inequalities and optimization problems with variational inequality constraints in Banach spaces. We derive some criteria and characterizations for these Levitin-Polyak well-posedness. We also investigate conditions under which the existence and uniqueness of solution is equivalent to the Levitin-Polyak well-posedness of the problem.
Mathematics Subject Classification: Primary: 90C31, 49J40; Secondary: 49K40.

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