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

Author

Ing-Jer Lin and Hossein Lakzian

Subjects
Matematik, Mathematics::Functional Analysis, 010102 general mathematics, Banach space, General Medicine, Function (mathematics), 01 natural sciences, 010101 applied mathematics, Combinatorics, Point (geometry), 0101 mathematics, Mathematics, Cyclic map,Best proximity point,$\mathcal{MT}$-cyclic contraction,Weak $\mathcal{MT}$-cyclic Kannan contraction
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.

Published
2018
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