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Variational inequality problems in \(H\)-spaces - MaRDI portal

Variational inequality problems in \(H\)-spaces (Q885636)

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scientific article; zbMATH DE number 5164290
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Variational inequality problems in \(H\)-spaces
scientific article; zbMATH DE number 5164290

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    Variational inequality problems in \(H\)-spaces (English)
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    14 June 2007
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    Summary: The concept of \(\eta \)-invex set is explored and the concept of \(T\)-\(\eta \)-invex function is introduced. These concepts are applied to the generalized vector variational inequality problems in ordered topological vector spaces. The study of variational inequality problems is extended to \(H\)-spaces and differentiable \(n\)-manifolds. The solution of complementarity problem is also studied in the presence of fixed points or Lefschetz number.
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    \(\eta\)-invex sets
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    vector variational inequality
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    existence of a solution
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