Browsing by Author "Abebu Getye"

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    NEW CONTRIBUTION IN BEST PROXIMITY POINT THEORY VIA AN AUXILIARY FUNCTION
    (Wolkite University, 2023-11-01) Abebu Getye
    in this thesis, we introduce the notion of proximal τ -distance contraction, proximal contractive and proximal T -contractive mappings. We establish best proximity point theorems, there by extending fixed point theory to the case of non self mapping and we prove the existence and uniqueness of a best proximity point for such types of mappings in a Hausdorff topological space. Examples are given to validate the main results.