Generalized g‐quasivariational inequality

Rabia Nessah, Moussa Larbani · International Journal of Mathematics and Mathematical Sciences · 2005

Suppose that X is a nonempty subset of a metric space E and Y is a nonempty subset of a topological vector space F. Let g : X → Y and ψ : X × Y → ℝ be two functions and let S : X → 2Y and be two maps. Then the generalized g‐quasivariational inequality problem (GgQVI) is to find a point and a point such that and . In this paper, we prove the existence of a solution of (GgQVI).

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