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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… Click to show full abstract
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.
Keywords:
min max;
max property;
metric spaces;
property metric;
structure
Journal Title: Acta Mathematica Hungarica
Year Published: 2019
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Journal Title: Acta Mathematica Hungarica
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!