Existence and uniqueness theorems of ordered contractive map in Banach lattices

DOI10.1155/2012/191675zbMath1256.47035OpenAlexW2147836273WikidataQ58695922 ScholiaQ58695922MaRDI QIDQ1938134

Zhihao Wang, Xingchang Li

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/191675

zbMATH Keywords

existenceuniquenessfixed pointBanach latticesordered contractive mappings

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (1)

Existence and uniqueness of fixed points for monotone operators in partially ordered Banach spaces and applications

Cites Work

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• Contractive-like mapping principles in ordered metric spaces and application to ordinary differential equations
• Fixed point theorems for generalized contractions in ordered metric spaces
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• An abstract monotone iterative technique
• Fixed point theorems in ordered abstract spaces

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