A Problem and A Generalization

Authors

  • A. Erfanmanesh Institute for Higher Education ACECR Khouzestan, Ahvaz, Iran

Keywords:

Metric Space, Compact set, Closed set, Measure space, Null set

Abstract

In this work, we generalize a problem in [1].This problem can be used in approximation theory and applied mathematical sciences. Finally, we solve a problem on a null set in a measure space, in a simple way.

References

W.Rudin, Real and Complex Analysis, MacGrow-Hill, Third Edition, New York,1986.

M. Fréchet, Sur quelques points du calcul fonctionnel, Rendic. Circ. Mat. Palermo 22 (1906) 1–74.

W.Rudin, Principles of Mathematical Analysis, McGraw-Hill, Third Edition, New York, 1976.

V. Bryant, Metric Spaces: Iteration and Application, Cambridge University Press, 1985, ISBN 0-521-31897-1.

Burago, Yu D Burago, Sergei Ivanov, A Course in Metric Geometry, American Mathematical Society, 2001, ISBN 0-8218-2129-6.

A. Papadopoulos, Metric Spaces, Convexity and Nonpositive Curvature,European Mathematical Society, 2004, ISBN 978-3-03719-010-4.

Mícheál Ó Searcóid, Metric Spaces, Springer Undergraduate Mathematics Series, 2006, ISBN 1-84628-369-8.

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Published

2016-04-16

Issue

Section

Articles

How to Cite

A Problem and A Generalization. (2016). Asian Journal of Fuzzy and Applied Mathematics, 4(2). https://ajouronline.com/index.php/AJFAM/article/view/553

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