Geometric Approach for Banach Space Using Hausdorff Distance


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Authors

  • Mallikarjuna Kumbar Post Graduate Department of Mathematics, K.L.E’s Society, S.K.Arts College & H.S.K. Sc. Inst., Hubballi, Karnataka, India
  • Udaya Ingalagi Post Graduate Department of Mathematics, K.L.E’s Society, S.K.Arts College & H.S.K. Sc. Inst., Hubballi, Karnataka, India
  • Tarannum Patel Post Graduate Department of Mathematics, K.L.E’s Society, S.K.Arts College & H.S.K. Sc. Inst., Hubballi, Karnataka, India
  • Pratibha Marigoudar Post Graduate Department of Mathematics, K.L.E’s Society, S.K.Arts College & H.S.K. Sc. Inst., Hubballi, Karnataka, India
  • Heenakouser Nadaf Post Graduate Department of Mathematics, K.L.E’s Society, S.K.Arts College & H.S.K. Sc. Inst., Hubballi, Karnataka, India
  • S. K. Narasimhamurthy Department of P.G. Studies & Research in Mathematics, Kuvempu University, Shankarghatta, Karnataka, India

Keywords:

Convex set, Banach Space, Hausdorff Distance, Hausdorff Metric Space

Abstract

In this paper, we study the normed linear spaces which are induced by Hausdorff distance. Barich proved the completeness of Hausdorff metric space [5]. We extend his work for the completeness of the normed linear spaces called Banach spaces, which are induced by Hausdorff distance and we proved convex Hausdorff metric space is Banach space.

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Published

15-10-2017

How to Cite

Mallikarjuna Kumbar, Udaya Ingalagi, Tarannum Patel, Pratibha Marigoudar, Heenakouser Nadaf, & S. K. Narasimhamurthy. (2017). Geometric Approach for Banach Space Using Hausdorff Distance. International Journal of Mathematics And Its Applications, 5(4 - A), 95–102. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1243

Issue

Vol. 5 No. 4 - A (2017)

Section

Research Article

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