Abstract
We consider a new class of complementarity problems for η-pseudomonotone maps and obtain an existence result for their solutions in real Hausdorff topological vector spaces. Our results extend the same previous results in this literature.
Highlights
Variational inequalities were introduced and considered by Stampacchia [1] in early sixties
Giannessi [2] introduced a new class of variational inequalities, which is vector variational inequality
Noor [4] introduced a class of variational inequalities involving two operators, which are called general variational inequalities
Summary
Variational inequalities were introduced and considered by Stampacchia [1] in early sixties. We obtain an existence result for their solutions in real Hausdorff topological vector spaces setting for a moving cone by relaxing continuity and compactness.
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