Application of Reich-Perov 𝛼-Contractive Mapping in Vector Valued Metric Space

Sunarsini Sunarsini, Mahmud Yunus, Subiono Subiono

Abstract


This paper presents two new applications of a fixed point theorem for Reich–Perov α-contractive mappings in vector-valued metric spaces. As a new application, we first demon-strate the existence and uniqueness of a solution to the vector valued Volterra-Fredholm integral equation system. By constructing suitable integral operators, we show that they satisfy the α-contractive Reich-Perov condition. The second application concerns the determination of the fixed point for discrete recursive systems with coupled components, for which the existence of a unique solution is established.


Keywords


α-contractive; fixed point; Reich-Perov contraction; vector valued metric space.

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References


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DOI: https://doi.org/10.18860/cauchy.v11i1.41240

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