Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations

DOI10.1016/j.na.2009.08.003zbMath1220.54025OpenAlexW1966044963MaRDI QIDQ2653941

J. Harjani, Kishin Sadarangani

Publication date: 15 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.08.003

zbMATH Keywords

fixed pointpartially ordered metric spacegeneralised contractionfirst order periodic problem for differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fixed-point and coincidence theorems (topological aspects) (54H25)

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