Application of Contraction Mapping Principle in Periodic Boundary Value Problems

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Govt. P. G. Arts and Science College)

Amrish Handa. (2023). APPLICATION OF CONTRACTION MAPPING PRINCIPLE IN PERIODIC BOUNDARY VALUE PROBLEMS. 한국수학교육학회지시리즈B:순수및응용수학, 30(3), 289-307, https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.3.289

복사

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

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논문 상세

Vol.30 No.3

APPLICATION OF CONTRACTION MAPPING PRINCIPLE IN PERIODIC BOUNDARY VALUE PROBLEMS

Application of Contraction Mapping Principle in Periodic Boundary Value Problems

Abstract

한국수학교육학회지시리즈B:순수및응용수학