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

Ali Asghar Sarvari, Hamid Mazaheri, hamid reza khademzadeh

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.

Keywords


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

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