Keywords:-
Keywords:
visible set, convex set, balanced set, absorbing set.
Article Content:-
Abstract
In this paper, we investigate some properties of visible sets and its characterization. Also we obtained relation between visible set and union of convex sets with nonempty intersection.
References:-
References
1. H. H. Bauschke and P. L. Combettes, Convex Analysis and Monotone Operator Theory in Hilbert Spaces, Springer, New York, 2011.
2. E. W. Cheney, Introduction to Approximation Theory, McGraw-Hill, New York, 1966.
3. F. Deutsch, Best Approximation in Inner Product Spaces, Springer, New York, 2001.
4. N. Dunford and J. T. Schwartz, Linear Operators Part I: General Theory, Interscience Publ., New York, 1958.
5. R. B. Holmes, Geometric Functional Analysis and its Applications, Springer-Verlag, New York, 1975.
6. V.K.Krishnan, Text book of Functional Analysis, Prentice Hall India Learning Private Limited; Second edition, 2014.
7. R. T. Rockafellar, Convex Analysis, Princeton University Press, Princeton, New Jersey, 1970.
8. I. Singer, Best Approximation in Normed Linear Spaces by Elements of Linear Sub-spaces, Springer-Verlag, New York, 1970.
2. E. W. Cheney, Introduction to Approximation Theory, McGraw-Hill, New York, 1966.
3. F. Deutsch, Best Approximation in Inner Product Spaces, Springer, New York, 2001.
4. N. Dunford and J. T. Schwartz, Linear Operators Part I: General Theory, Interscience Publ., New York, 1958.
5. R. B. Holmes, Geometric Functional Analysis and its Applications, Springer-Verlag, New York, 1975.
6. V.K.Krishnan, Text book of Functional Analysis, Prentice Hall India Learning Private Limited; Second edition, 2014.
7. R. T. Rockafellar, Convex Analysis, Princeton University Press, Princeton, New Jersey, 1970.
8. I. Singer, Best Approximation in Normed Linear Spaces by Elements of Linear Sub-spaces, Springer-Verlag, New York, 1970.
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Reddy, B. (2023). A Note on Visible Sets. International Journal Of Mathematics And Computer Research, 11(7), 3550-3554. https://doi.org/10.47191/ijmcr/v11i7.08