On Completion of Normed Vector Space and Contraction Mapping


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Authors

  • Ashwinkumar Raosaheb Chavan Department of Humanities and Applied Sciences, SIES Graduate School of Technology, Nerul, Navi Mumbai, Maharashtra, India
  • Uttam P. Dolhare Department of Mathematics, D. S. M. College, Jintur, Parbhani, Maharashtra, India

Keywords:

Contraction mapping principle, Fixed point theorem, Normed vector space, Complete Metric Space

Abstract

In this paper we will discuss in detail, the concept of completion of metric space and its application to completing normed vector space. Further if the necessity of a condition of a mapping being contraction is loosen, then the mapping may not have a fixed point.

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Published

15-11-2017

How to Cite

Ashwinkumar Raosaheb Chavan, & Uttam P. Dolhare. (2017). On Completion of Normed Vector Space and Contraction Mapping. International Journal of Mathematics And Its Applications, 5(4 - C), 331–334. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1277

Issue

Vol. 5 No. 4 - C (2017)

Section

Research Article

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