On extremal solutions of operator equations in ordered normed spaces

DOI10.1080/00036819208840069zbMath0821.47041OpenAlexW2102657684MaRDI QIDQ4000895

Seppo Heikkilä

Publication date: 26 September 1992

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819208840069

zbMATH Keywords

generalized iteration methodexistence results for extremal solutionsfixed point results for mappings in ordered normed spaces

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (1)

Algorithms for the fixed point property

Cites Work

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• On an elliptic boundary value problem with discontinuous nonlinearity
• On a parabolic boundary value problem with discontinuous nonlinearity
• On fixed points through a generalized iteration method with applications to differential and integral equations involving discontinuities
• On fixed points of multifunctions in ordered spaces

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