A system of multi-valued generalized order complementarity problems in ordered metric spaces

DOI10.4171/ZAA/1173zbMath1140.90498OpenAlexW1983313544MaRDI QIDQ1432739

Jong Kyu Kim, Nan-Jing Huang, Ya-Ping Fang

Publication date: 15 June 2004

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1173

zbMATH Keywords

fixed point theoremsordered metric spacesmulti-valued decreasing mappingsmulti-valued generalized order complementarity problemsmulti-valued increasing-type mappings

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (5)

\(F\)-implicit complementarity problems in Banach spaces ⋮ Solvability of the system of implicit generalized order complementarity problems ⋮ A new system of generalized nonlinear co-complementarity problems ⋮ Existence results for systems of vector equilibrium problems ⋮ An existence result for a system of generalized order complementarity problems via order exceptional families of elements

Cites Work

• Kneser's theorem and the multivalued generalized order complementarity problem
• The implicit general order complementarity problem, models and iterative methods
• The generalized order complementarity problem
• Fixed point theorems and a new system of multivalued generalized order complementarity problems
• Fixed point for multivalued increasing operators
• Topological methods in complementarity theory
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• On fixed points of multifunctions in ordered spaces
• The Generalized Order Linear Complementarity Problem
• The Linear Order Complementarity Problem
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