A note on suns in convex metric spaces | Zendy

T. D. Narang | Zendy; R. Sangeeta | Zendy

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A note on suns in convex metric spaces

Author(s) -

T. D. Narang,

R. Sangeeta

Publication year - 2010

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1001139n

Subject(s) - mathematics , convex metric space , suns in alchemy , injective metric space , convex set , metric (unit) , intrinsic metric , projection (relational algebra) , regular polygon , chebyshev filter , metric space , fisher information metric , mathematical analysis , combinatorics , geometry , convex optimization , physics , algorithm , engineering , operations management , optoelectronics

We prove that in a convex metric space (, ), an existence set having a lower semi continuous metric projection is a -sun and in a complete -space, a Chebyshev set with a continuous metric projection is a -sun as well as almost convex.

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