Generalized Minty's Lemma for generalized vector equilibrium problems

DOI10.1016/j.aml.2006.02.019zbMath1126.49007OpenAlexW1984509319WikidataQ124835254 ScholiaQ124835254MaRDI QIDQ2463918

Jen-Chih Yao, Lu-Chuan Zeng

Publication date: 6 December 2007

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.02.019

zbMATH Keywords

Hausdorff metricaffine mappingvector variational inequalityKKM-mapgeneralized vector equilibrium problem

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Variational inequalities (49J40) Fixed-point theorems (47H10) Existence of solutions for minimax problems (49J35) General equilibrium theory (91B50) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (4)

Generalized vector quasi-variational-like inequality problem: a new approach ⋮ Generalized vector equilibrium-like problems without pseudomonotonicity in Banach spaces ⋮ On generalized implicit vector equilibrium problems in Banach spaces ⋮ Existence of vector mixed variational inequalities in Banach spaces

Cites Work

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• A generalization of Tychonoff's fixed point theorem
• Extended generalized variational inequalities
• On the generalized vector variational inequality problem
• Generalized vector variational inequalities
• A vector version of Minty's lemma and applications
• Multi-valued contraction mappings
• The study of minimax inequalities and applications to economies and variational inequalities
• On vector variational inequalities

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