On the connectedness of the solution set to nonlinear complementarity systems

DOI10.1007/BF02193103zbMath0820.90107OpenAlexW4239602728MaRDI QIDQ1331127

Tamás Rapcsák

Publication date: 9 August 1994

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

Full work available at URL: https://doi.org/10.1007/bf02193103

zbMATH Keywords

quasivariational inequalitiesRiemannian manifoldsufficient conditionsgeodesic convexitygeodesic connectednesspointed coneimage problemsconnectedness of nontrivial subsets of the solution setnonlinear complementarity systemstwice continuously differentiable operators

Mathematics Subject Classification ID

Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (2)

Geodesic convexity on Rⁿ¹₊ ⋮ Connectedness of the solution set of the tensor complementarity problem

Cites Work

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• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Semidifferentiable functions and necessary optimality conditions
• On the connectedness of the solution set to linear complementarity systems
• Theorems of the alternative and optimality conditions
• On some non-linear elliptic differential functional equations
• On the Second-Order Sufficiency Conditions
• Nonlinear Programs with Positively Bounded Jacobians

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