Best proximity points for weak $\mathcal{MT}$-cyclic Kannan contractions

In this paper, we introduce a notion of weak $% \mathcal{MT}$-cyclic Kannan contractions with respect to a $\mathcal{MT}$% -function $\varphi$ and then we shall prove some new convergent and existence theorems of best proximity point theorems for these contractions in uniformly Banach spaces.

Keywords:

Cyclic map, Best proximity point $\mathcal{MT}$-cyclic contraction, Weak $\mathcal{MT}$-cyclic Kannan contraction,

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