Abstract
In this paper, we establish an existence theorem by using the Kakutani-Fan-Glicksberg fixed-point theorem for a symmetric generalized quasi-variational inclusion problem in real locally convex Hausdorff topological vector spaces. Moreover, the closedness of the solution set for this problem is obtained. As special cases, we also derive the existence results for symmetric weak and strong quasi-equilibrium problems. The results presented in the paper improve and extend the main results in the literature.
Highlights
Let X and Z be real locally convex Hausdorff spaces, A ⊂ X be a nonempty subset and C ⊂ Z be a closed convex pointed cone
Motivated by the research works mentioned above, in this paper, we introduce symmetric generalized quasi-variational inclusion problems
In the first part of this article, we introduce the model symmetric generalized quasi-variational inclusion problem
Summary
Let X and Z be real locally convex Hausdorff spaces, A ⊂ X be a nonempty subset and C ⊂ Z be a closed convex pointed cone.
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