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Derivation of Fixed-Point Theorem Using Expansive Mapping Approach

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dc.contributor.author KoechVincenta
dc.contributor.author MusundiW.Sammy
dc.contributor.author KinyanjuiJeremiah
dc.date.accessioned 2023-08-04T09:24:06Z
dc.date.available 2023-08-04T09:24:06Z
dc.date.issued 2023-06-07
dc.identifier.uri http://repository.kyu.ac.ke/123456789/981
dc.description.abstract Application of Fixed-Point Theorem has tremendously increased in different areas of interest and research. Fixed Point Theorem presents that ifis a contraction mapping on a complete metric space then there exists a unique fixed point in. A lot has been done on application of contraction mapping in Fixed Point Theorem on metric spaces such as Cantor set with the contraction constant of , the Sierpinski triangle also with contraction constant of . On the other hand, a mapping on such that is called an expansive mapping. There are various types of expansive mappings such as; isometry expansive mapping, proper/strict expansive mapping and anti-contraction expansive mapping. From the available literature, Fixed Point Theorem has been derived using contraction mapping approach. In this paper, we establish that it is also possible to derive Fixed Point Theorem using expansive mapping approach. en_US
dc.language.iso en en_US
dc.publisher Asian Research Journal of Mathematics en_US
dc.subject Fixed point theorem; expansive mapping; contractive mapping.Original Research Article en_US
dc.title Derivation of Fixed-Point Theorem Using Expansive Mapping Approach en_US
dc.type Article en_US


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