Existence of Solutions of Mixed Variational-like Inequalities and Gap Functions
DOI:
https://doi.org/10.26713/cma.v15i5.2381Keywords:
Gap function, Pseudomonotonicity, Strongly monotone, Lipschitz continuousAbstract
In this work, a gap function and an extended gap function are introduced, which gives rise to an optimization problem formulation to mixed variational-like inequalities. Furthermore, a convex lower bound to an extended gap function for Stampachhia and Minty mixed variational-like inequality problems is developed. The results presented in this paper generalize some well-known results of several authors, which play a significant role in the theory of variational inequalities.
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