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

Authors : Hossein Lakzian, Ing-jer Lin

Pages : 43-48

Doi:10.33401/fujma.405536

View : 13 | Download : 8

Publication Date : 2018-06-30

Article Type : Research

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