A note on best proximity point theorems under weak \(P\)-property
Summary: In the very recent paper of \textit{A. Abkar} and \textit{M. Gabeleh} [Abstr. Appl. Anal. 2013, Article ID 189567, 3 p. (2013; Zbl 1297.54076)], by using the notion of \(P\)-property, it was proved that some late results about the existence and uniqueness of best proximity points can be obtained from the versions of associated existing results in the fixed point theory. Along the same line, in this paper, we prove that these results can be obtained under a weaker condition, namely, weak \(P\)-property.
scientific article; zbMATH DE number 7022937