THE BEST PROXIMITY PAIR FOCUSING ON MONOTONICITY AND T-ABSOLUTELY DIRECT SETS

Authors

  • Ali Asghar Sarvari Yazd university
  • Hamid Mazaheri Yazd university
  • Hamid Reza Khademzadeh

DOI:

https://doi.org/10.30495/jme.v15i0.1235

Keywords:

The best proximity pair, Monotonicity, STM space, UM space.

Abstract

The best proximity pair problem in Banach spaces has already been examined by considering some special conditions.In this article, we mostly pay attention to the existence and uniqueness of the best proximity pair for T-absolutely directsets. This investigation is based on some interesting relations existing in Banach lattices, in which T : A ! B is an arbitrarymap.

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Published

2020-01-27

Issue

Vol. 15

Section

Vol. 15, No. 1, (2021)

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