The Farthest Orthogonality, Best Proximity Points and Remotest Points in Banach Spaces

  • R. Rahmani JafarbeigiEmail author
  • H. Mazaheri
Research Paper
Part of the following topical collections:
  1. Mathematics


In this paper, the concept of farthest orthogonality, distance orthogonality and \(*\)-farthest orthogonality in Banach spaces is introduced and the relation between these concepts with the dual space is found. Also, the weakly \(\phi \)-contraction and farthest continuous maps and their relationship are studied. Then, some best proximity and farthest point theorems are proved in Banach spaces. Some examples are given to illustrate the results.


Farthest points Farthest orthogonality *-Farthest orthogonality Weakly \(\phi \)-non-orthogonality Farthest continues map 

Mathematics Subject Classification

41A65 41A52 46N10 


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Copyright information

© Shiraz University 2020

Authors and Affiliations

  1. 1.Faculty of MathematicsYazd UniversityYazdIran

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