Fixed-point theorems for nonlinear operators and Galerkin approximations

DOI10.1016/0022-0396(67)90031-9zbMath0149.10604OpenAlexW1970805066MaRDI QIDQ2525067

Djairo Guedes de Figueiredo

Publication date: 1967

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(67)90031-9

zbMATH Keywords

functional analysis

Related Items (10)

On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings ⋮ On Convergence of Quasi ρ-preserving Locally Related Quasi-nonexpansive Mappings ⋮ Approximation-solvability of nonlinear functional equations in normed linear spaces ⋮ Fixed-point theorems involving P-compact, semicontractive, and accretive operators not defined on all of a Banach space ⋮ Leray-Schauder theorem for P-compact operators and its consequences ⋮ Remarks on nonlinear interpolation in Banach spaces ⋮ On some existence theorems for the solutions of a class of nonlinear operator equations ⋮ Invariance of domain theorem for locally A-proper mappings and its implications ⋮ On the approximation of continuous nonlinear operators in normed spaces by polynomial operators ⋮ On nonlinear equations involving pseudo-A-proper mappings and their uniform limits with applications

Cites Work

• A fixed point theorem, and some applications
• On the Basis Problem in Normed Spaces
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• On a Theorem of Beurling and Livingston
• Multi-Valued Monotone Nonlinear Mappings and Duality Mappings in Banach Spaces
• On a fixed point theorem for nonlinear $P$-compact operators in Banach space
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