On multivalued complementarity problems in Banach spaces

DOI10.1016/j.jmaa.2004.10.051zbMath1112.90085OpenAlexW2010164309MaRDI QIDQ555842

Jian-Wen Peng, Yang, Xinmin

Publication date: 10 June 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.10.051

zbMATH Keywords

Banach space\(H\)-SpaceComplementarity problemLower semi-continuityMultivalued operator

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Monotone operators and generalizations (47H05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Set-valued operators (47H04) Programming in abstract spaces (90C48)

Related Items

Intersection theorems with applications in optimization, Applications of some basic theorems in the KKM theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The vector complementary problem and its equivalences with the weak minimal element in ordered spaces
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• On the nonlinear complementarity problem
• The quasi-complementarity problem
• Change of variable method for generalized complementarity problems
• Vector complementarity and minimal element problems
• Simultaneous vector variational inequalities and vector implicit complementarity problem
• Complementarity problems for multivalued monotone operator in Banach spaces
• Monotone generalized variational inequalities and generalized complementarity problems
• Topological methods in complementarity theory
• Complementary pivot theory of mathematical programming
• Existence theory for generalized nonlinear complementarity problems
• Generalized complementarity problem
• Some Existence Results for Multivalued Complementarity Problems
• On minimax inequalities on spaces having certain contractible subsets
• Engineering and Economic Applications of Complementarity Problems
• Nonlinear Programs with Positively Bounded Jacobians
• Three-step iterative algorithms for multivalued quasi variational inclusions