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

Year 2018, Volume: 1 Issue: 1, 43 - 48, 30.06.2018

Hossein Lakzian , Ing-Jer Lin

https://doi.org/10.33401/fujma.405536

Cited By: 3

Abstract

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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