GENERALIZED (ψ, θ, ϕ)-CONTRACTION WITH APPLICATION TO ORDINARY DIFFERENTIAL EQUATIONS

Amrish Handa

DOI Number
https://doi.org/10.22190/FUMI210412014H
First page
169
Last page
192

Abstract


We prove a unique common fixed point theorem and some coupled fixed point results satisfying generalized (ψ, θ, ϕ)-contraction on partially ordered metric spaces. With the help of results established in the first segment, we investigate the solution of periodic boundary value problems as an application. Our results improve, generalize and sharpen various well known results in the literature.

Keywords

Fixed point, coincidence point, coupled coincidence point, generalized ( ; ; ')-contraction, partially ordered metric space, ordinary differential equations

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References


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DOI: https://doi.org/10.22190/FUMI210412014H

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