Nonlinear Complementarity Problems in a Function Space

DOI10.1137/0318046zbMath0448.90056OpenAlexW2159994132MaRDI QIDQ3895242

Takao Fujimoto

Publication date: 1980

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0318046

zbMATH Keywords

existence theoremnonlinear complementarity problemscompact operatorsSchauder's fixed-point theoremleast elementindifferent optimization problemsspace of continuous functions on a compact Hausdorff space

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (7)

Remarks on a nonlinear complementarity problem ⋮ Geometric control theory ⋮ Geometrical and topological methods in optimal control theory ⋮ Observability of smooth control systems ⋮ An extension of Tarski's fixed point theorem and its application to isotone complementarity problems ⋮ Differential-geometric and group-theoretical methods in optimal control theory ⋮ The generalized order complementarity problem

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