Fixed points of convex maps in ordered Banach spaces

DOI10.1016/S0007-4497(01)01093-4zbMath1014.47024OpenAlexW2032728905WikidataQ126388757 ScholiaQ126388757MaRDI QIDQ5956297

Thierry Aubin, Wenzhi Wang

Publication date: 24 July 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0007-4497(01)01093-4

zbMATH Keywords

stabilityminimal fixed pointnormal solid conestrongly convex map

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Elliptic equations on manifolds, general theory (58J05) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Boundary value problems on manifolds (58J32)

Related Items (1)

Positive solutions of Ambrosetti-Prodi problems involving the critical Sobolev exponent

Cites Work

• Le nombre de solutions de certains problèmes semi-linéaires elliptiques
• Supersolutions, monotone iterations, and stability
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Problèmes isoperimetriques et espaces de Sobolev
• On the inversion of some differentiable mappings with singularities between Banach spaces
• On the superlinear Ambrosetti-Prodi problem
• Multiple solutions ofH-systems and Rellich's conjecture
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• A Perturbation Method in Critical Point Theory and Applications
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Positive solutions of Ambrosetti-Prodi problems involving the critical Sobolev exponent
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