A convexity of functions on convex metric spaces of Takahashi and applications
We show that Takahashi's idea of convex structures on metric spaces is a natural generalization of convexity in normed linear spaces and Euclidean spaces in particular. Then we introduce a concept of convex structure based convexity to functions on these spaces and refer to it as W-convexity. W...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-07-01
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| Series: | Journal of the Egyptian Mathematical Society |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X15000802 |