Existence results for the nonlinear complementarity problem and applications to nonlinear analysis

DOI10.1016/0022-247X(91)90059-9zbMath0728.90088WikidataQ57580625 ScholiaQ57580625MaRDI QIDQ805502

Michel Théra

Publication date: 1991

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

zbMATH Keywords

fixed point theoryeigenvalue problemsnonlinear complementaritydifference of nonlinear operatorsGalerkin coneweakly locally compact convex cone

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Programming in abstract spaces (90C48) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (13)

Multivalued variational inequalities with \(D_J\)-pseudomonotone mappings in reflexive Banach spaces ⋮ Harmonic solutions for noncoercive dynamic unilateral problems ⋮ Inner approximation-solvability of nonlinear equations ⋮ Variational inequality ⋮ Generalized vector implicit complementarity problems with corresponding variational inequality problems ⋮ Generalized vector implicit quasi complementarity problems ⋮ Some results about perturbed maximal monotone mappings ⋮ On vector variational inequalities ⋮ Phi-Stable Operators and Inner Approximation-Solvability ⋮ Variational inequalities and fixed point theorems for PM maps ⋮ Complementarity problems for multivalued monotone operator in Banach spaces ⋮ Penalty approximation method for a double obstacle quasilinear parabolic variational inequality problem ⋮ Finite-dimensional approximation for a class of elliptic obstacle problems

Cites Work

• Complementarity problem and the existence of the post-critical equilibrium state of a thin elastic plate
• Geometry of Banach spaces. Selected topics
• On some non-linear elliptic differential functional equations
• Averaged norms
• A fixed point theorem, and some applications
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Eigenvalues of some nonlinear operators
• Nonlinear mappings of monotone type in Banach spaces
• π-asymptotisches Spektrum und Surjektivitätssätze vom Fredholm Typ für nichtlineare Operatoren mit Anwendungen
• On fixed points and variational inequalities—a circular tour
• The Ljusternik-Schnirelman theory for indefinite and not necessarily odd nonlinear operators and its applications
• Some fixed point theorems and applications
• Multi-Valued Monotone Nonlinear Mappings and Duality Mappings in Banach Spaces
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