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Narang, T. D.
- Strong Approximative Compactness and Strong Proximinality in Metric Linear Spaces
Abstract Views :238 |
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Authors
T. D. Narang
1,
Sahil Gupta
1
Affiliations
1 Department of Mathematics, Guru Nanak Dev University, Amritsar-143 005, IN
1 Department of Mathematics, Guru Nanak Dev University, Amritsar-143 005, IN
Source
The Journal of the Indian Mathematical Society, Vol 82, No 1-2 (2015), Pagination: 109-116Abstract
In this paper we discuss approximatively compact sets, strongly approximatively compact sets and strongly proximinal sets in metric linear spaces and prove some results on best approximation and continuity of the metric projection.Keywords
Best Approximation, Proximinal Set, Strongly Proximinal Set, Chebyshev Set, Approximatively Compact Set, Strongly Approximatively Compact Set.- On Approximative Compactness
Abstract Views :151 |
PDF Views:1
Authors
Affiliations
1 Department of Mathematics, Guru Nanak Dev University, Amritsar -143005, IN
1 Department of Mathematics, Guru Nanak Dev University, Amritsar -143005, IN
Source
The Journal of the Indian Mathematical Society, Vol 80, No 1-2 (2013), Pagination: 111-119Abstract
The paper deals with conditions under which an approximatively compact set G in a metric space (X, d) is Chebyshev. We also find invariant points of a self mapping on G which are also elements of best approximations in G.Keywords
Best Approximation, Proximinal Set, Chebyshev Set, Metric Projection, Approximatively Compact Set, Approximatively Cauchy Set, Convex Set.- On Continuity of the best Approximation Map and Fixed Point Theorems
Abstract Views :159 |
PDF Views:0
Authors
T. D. Narang
1,
S. Chandok
2
Affiliations
1 Department of Mathematics, Guru Nanak Dev University, Amritsar-143005, IN
2 Department of Mathematics, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar-144011, IN
1 Department of Mathematics, Guru Nanak Dev University, Amritsar-143005, IN
2 Department of Mathematics, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar-144011, IN
Source
The Journal of the Indian Mathematical Society, Vol 78, No 1-4 (2011), Pagination: 131-136Abstract
The paper contains some results on the continuity of the best approximation map in normed linear spaces, on fixed point of a continuous nowhere normal outward map in metric linear spaces, and on fixed point of a nonexpansive map in the case of metric spaces. The proved results generalize and extend the earlier known results on the subject.Keywords
Core Point, Convex Metric Space, Best Approximation, Proximinal, Convex and Approximatively Compact Set.- On Farthest Points
Abstract Views :172 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics, University of Delhi, Delhi 110007, IN
1 Department of Mathematics, University of Delhi, Delhi 110007, IN