Article Sidebar

Submitted
April 6, 2017
Accepted
September 4, 2017
Published
January 21, 2018
Download
PDF
Statistic
Read Counter : 734 Download : 446

Downloads

Download data is not yet available.

Main Article Content

Abstract

In this paper, we consider the concepts 2-farthest orthogonalityin generalized 2-normed spaces, We obtain a necessary and coecient conditionsfor 2-remotal sets and 2-uniquely remotal sets in generalized 2-normedspaces.

Keywords

Generalized 2-normed spaces 2-Farthest Orthogonality 2-Farthest points 2-Uniquely remotal sets 2-Remotal sets.

Article Details

How to Cite
Mazaheri, H., Abad, M. S., & Dehghan, M. A. (2018). 2-Farthest orthogonality in generalized 2-normed spaces. Journal of the Indonesian Mathematical Society, 24(1), 71–78. https://doi.org/10.22342/jims.24.1.480.71-78
Download Citation
Endnote/Zotero/Mendeley (RIS)
BibTeX
Crossref
Scopus
Google Scholar
Europe PMC

References

  1. Cho, Y. J. and Kim, S. S., "Gateaux Derivatives and 2-Inner Product "Glas. Mat. Ser. III 27 (1983), 197-203.
  2. Diminnie, C. R. and White, A., "A Characterization of 2-Inner Product Spaces", Math. Japon. 114 (1983), 275-277.
  3. Dragomir, S. S., Cho, Y. J. and Kim, S. S., Superadditivity and Monotonicity
  4. of 2-Norms Generated by Inner Products and Related Results", Soochow J. Math. 24 (1998), 13-32.
  5. Ga hler, S., "Lineare 2-Normierte Raume", Math. Nachr. 28 (1964), 1-43.
  6. Gozali, S. M. and Gunawan, H. On b-orthogonality in 2-normed spaces. J. Indones. Math. Soc. 16 (2010), 127-132.
  7. Gunawan, H., "On n-Inner Products, n-Norms, and the Cauchy-Schwarz Inequality", Sci. Math. Jpn. 55 (2002), 53-60.
  8. Gunawan, H., "Inner Product on n-Inner Product Spaces", Soochow J. Math. 28 (2002), 389-398.
  9. Gunawan, H. and Mashadi, "On n-Normed Spaces", Int. J. Math. Math. Sci. 27 (2001), 631-639.
  10. Gunawan, H., Mashadi, Gemawati, S., Nursupiamin and Sihwaningrum, I., "Orthogonality in 2-Normed Spaces Revisited", Univ. Beograd Publ.
  11. Elektrotehn. Fak. Ser. Mat. 17 (2006), 76-83.
  12. Kamali, H.R. and Mazaheri, H., "b-General Orthogonality in 2-Normed Spaces", Int. Appl. Math. Sci. 2 (2008), 775-780.
  13. Khan, A. and Siddiqui, A., "B-Orthogonality in 2-Normed Space", Bull. Calcutta Math. Soc. 74 (1982), 216-222.
  14. Lewandowska, Zoa; Moslehian, Mohammad Sal; Saadatpour Moghaddam, Assieh. "Hahn-Banach theorem in generalized 2-normed spaces."
  15. Commun. Math. Anal. 1 (2006), 109-113.
  16. Mazaheri, H. and Kazemi, R., "Some Results on 2-Inner Product Spaces", Novi Sad J. Math. 37 (2007), 35-40.
  17. H. Mazaheri, T. D. Narang and H. R. Khademzadeh, Nearest and Farthest points in normed spaces, In Press Yazd University, 2015