Mixed Variational Inequality Interval-valued Problem: Theorems of Existence of Solutions
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DepartmentEstadística e Investigación Operativa
SourceTaiwanese J. Math. Advance Publication 1 - 24, 2022
In this article, our efforts focus on finding the conditions for the existence of solutions of Mixed Stampacchia Variational Inequality Interval-valued Problem on Hadamard manifolds with monotonicity assumption by using KKM mappings. Conditions that allow us to prove the existence of equilibrium points in a market of perfect competition. We will identify solutions of Stampacchia variational problem and optimization problem with the interval-valued convex objective function, improving on previous results in the literature. We will illustrate the main results obtained with some examples and numerical results.