A new contraction mapping principle in partially ordered metric spaces and applications to ordinary differential equations

DOI10.1186/1687-1812-2012-152zbMath1308.54040OpenAlexW2149283421WikidataQ59290977 ScholiaQ59290977MaRDI QIDQ385237

Qiansheng Feng, Yongfu Su, Fangfang Yan

Publication date: 2 December 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-152

zbMATH Keywords

contraction mapping principle fixed point differential equation partially ordered metric spaces altering distance function

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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Cites Work

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