2-Farthest orthogonality in generalized 2-normed spaces

Hamid Mazaheri; Mousavi Shams Abad; M. A. Dehghan

doi:10.22342/jims.24.1.480.71-78

Hamid Mazaheri ⁽¹⁾ , Mousavi Shams Abad ⁽²⁾ , M. A. Dehghan ⁽³⁾

(1) Yazd University, Iran, Islamic Republic of,

(2) Valiasr Rafsanjan University, Iran, Islamic Republic of,

(3) Valiasr Rafsanjan University

https://doi.org/10.22342/jims.24.1.480.71-78

Issue
Volume 24 Number 1 (April 2018)

Submitted
April 6, 2017

Accepted
September 4, 2017

Published
January 21, 2018

Keywords:

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

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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.

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References

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Authors

Hamid Mazaheri

Yazd University

hmazaheri@yazd.ac.ir (Primary Contact)

Mousavi Shams Abad

Valiasr Rafsanjan University

M. A. Dehghan

Valiasr Rafsanjan University

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