IJRR

International Journal of Research and Review

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Research Paper

Year: 2018 | Month: January | Volume: 5 | Issue: 1 | Pages: 50-54

A Note on Existence and Uniqueness of Nearest Points in a Set

Dr. Prakash Muni Bajracharya1, Gaj Ram Damai2

1Central department of Mathematics, Tribhuvan University, Kirtipur, Kathmandu, Nepal
2Sidhhnath Science Campus, Mahendranagar, Tribhuvan University, Mahendranagar, Nepal.

Corresponding Author: Gaj Ram Damai

ABSTRACT

In this paper, the main problem is concerned with the existence and uniqueness of nearest points of a given point in a set with P- property and weak P- property.

Key words: Proximinal set, P- property, weak P- property, Metric projection.

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