A NOTE ON SUNS IN CONVEX METRIC SPACES

作者：Narang T D^*; Sangeeta

来源：Institut Mathematique, 2010, 87(101): 139-142.

DOI：10.2298/PIM1001139N

• Convex metric space
• sun
• proximinal set
• Chebyshev set
• almost convex set and lower semi continuous metric projection

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

• 出版日期2010