Existence of solutions and variational principles for generalized vector systems

DOI10.1007/s10957-007-9348-0zbMath1149.49019OpenAlexW1976339197MaRDI QIDQ933829

Jen-Chih Yao, Giandomenico Mastroeni, Lu-Chuan Ceng

Publication date: 25 July 2008

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-007-9348-0

zbMATH Keywords

vector optimization problemsset-valued mapsvariational principlesgap functionsvector generalized systems

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued and variational analysis (49J53) Perturbations in control/observation systems (93C73)

Related Items (1)

On maximum and variational principles via image space analysis

Cites Work

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• A generalization of Tychonoff's fixed point theorem
• On the generalized quasi-variational inequality problems
• Generalized KKM theorem and variational inequalities
• Generalized quasiconvexities, cone saddle points, and minimax theorem for vector-valued functions
• Vector equilibrium problems with generalized monotone bifunctions
• Generalized KKM theorem with applications to generalized minimax inequalities and generalized equilibrium problems
• Variational principles for variational inequalities
• Existence of a solution and variational principles for vector equilibrium problems

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