Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces

In this paper, we consider a cyclic mapping on a partially ordered complete metric space. We prove some fixed point theorems, as well as some theorems on the existence and convergence of best proximity points.

In this paper, we generalized a cyclic contraction on a partially ordered complete metric space. We prove some fixed point theorems as well as some theorems on the existence of best proximity points. Our results improve and extend some recent results in ...

Let A and B be non-empty subsets of a metric space. As a non-self mapping $${T:A\longrightarrow B}$$ does not necessarily have a fixed point, it is of considerable interest to find an element x in A that is as close to Tx in B as possible. In other words, if the ...