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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.30 No.3

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Application of Contraction Mapping Principle in Periodic Boundary Value Problems

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2023, v.30 no.3, pp.289-307
https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.3.289
Amrish Handa
Amrish, H. (2023). Application of Contraction Mapping Principle in Periodic Boundary Value Problems. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 30(3), 289-307, https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.3.289

Abstract

We prove some common fixed point theorems for β-non-decreasing mappings under contraction mapping principle on partially ordered metric spaces. We study the existence of solution for periodic boundary value problems and also give an example to show the degree of validity of our hypothesis. Our results improve and generalize various known results.

keywords
fixed point, coincidence point, coupled fixed point, coupled coincidence point, contraction mapping principle, partially ordered metric space, <tex> ${\beta}$</tex>-non-decreasing mapping, ordinary differential equation

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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