On an Altman type fixed point theorem on convex cones

DOI10.1216/rmjm/1181072244zbMath0868.47035OpenAlexW1991691297MaRDI QIDQ1898287

George Isac

Publication date: 17 August 1997

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072244

zbMATH Keywords

contractionfixed point theoryconvex coneGalerkin approximationcomplementarity theoryHartmann-Stampacchia theorem

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Scalar derivatives and scalar asymptotic derivatives. An Altman type fixed point theorem on convex cones and some applications. ⋮ Regular exceptional family of elements with respect to isotone projection cones in Hilbert spaces and complementarity problems ⋮ The non-existence of a regular exceptional family of elements. A necessary and sufficient condition. Applications to complementarity theory ⋮ Variational inequalities and fixed point theorems for PM maps ⋮ An existence theorem for nonlinear complementarity problems ⋮ Finite-dimensional approximation for a class of elliptic obstacle problems

Cites Work

• A fixed point theorem for local pseudo-contractions in uniformly convex spaces
• On the local norm map for abelian varieties with good ordinary reduction
• Some results on pseudo-contractive mappings
• Fixed point theorems for contraction mappings with applications to nonexpansive and pseudo-contractive mappings
• Fixed points theorems for k-set-contractions and pseudocontractive mappings
• A fixed point theorem, and some applications
• Antipodes theorem for A-proper mappings and its applications to mappings of the modified type (S) or (S)+ and to mapping with the pm property
• On nonlinear mappings of monotone type homotopic to odd operators
• Fixed point theory and nonlinear problems
• π-asymptotisches Spektrum und Surjektivitätssätze vom Fredholm Typ für nichtlineare Operatoren mit Anwendungen
• Iterative Approximation of Fixed Points of Lipschitzian Strictly Pseudo-Contractive Mappings
• On the Fixed-Point Theory for Local k-Pseudocontractions
• Nonlinear eigenvalue problems and Galerkin approximations
• On Nonlinear Contractions
• Nonlinear elliptic boundary value problems and the generalized topological degree
• Coercivity Conditions in Nonlinear Complementarity Problems
• Fixed Point Theorems for Lipschitzian Pseudo-Contractive Mappings
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