“School of Mathematics”
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| Paper IPM / M / 15555 |
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| Abstract: | |
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In the setting of convex metric spaces, we introduce the two geometric notions of uniform convexity in every direction as well as sequential convexity. They are used to study a concept of proximal normal structure. We also consider the class of noncyclic relatively nonexpansive mappings and analyze the min-max property for such mappings. As an application of our main results
we conclude with some best proximity pair theorems for noncyclic mappings.
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