Contraction mapping principle with generalized altering distance function in ordered metric spaces and applications to ordinary differential equations

DOI10.1186/1687-1812-2014-227zbMath1308.54038OpenAlexW2116466017WikidataQ59324501 ScholiaQ59324501MaRDI QIDQ2264127

Yongfu Su

Publication date: 20 March 2015

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-227

zbMATH Keywords

contraction mapping principlefixed pointordinary differential equationspartially ordered metric spacesgeneralized 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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• A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations

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