Fixed point results in ordered normed spaces with applications to abstract and differential equations

DOI10.1016/0022-247X(92)90259-GzbMath0796.47040OpenAlexW1996224091MaRDI QIDQ1191753

Yong Sun, Vangipuram Lakshmikantham, Seppo Heikkilä

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90259-g

zbMATH Keywords

existenceuniquenessperiodic boundary value problemconic intervalextremality of solutionsfixed points of increasing and weakly order precompact operators

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Ordered normed spaces (46B40)

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Cites Work

• Applications of monotone techniques to differential equations with discontinuous right hand side
• On differential equations in ordered Banach spaces with applications to differential systems and random equations
• On fixed points through a generalized iteration method with applications to differential and integral equations involving discontinuities
• Some fixed point theorems of increasing operators
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