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Condensing Mappings and Best Proximity Point Results

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Best proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic… Click to show full abstract

Best proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u-continuous condensing mappings. It is shown that relative u-continuity of is a necessary condition that cannot be omitted. Some examples are given to support our results.

Keywords: proximity point; point results; condensing mappings; best proximity; mappings best

Journal Title: Journal of Mathematics
Year Published: 2021

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