Sultana, Asrifa; Vetrivel, V.(Universitat Politècnica de València, 2017-04-03)
[EN] We establish an existence and uniqueness theorem on best proximity point for contractive mappings on a metric space endowed with a graph. As an application of this theorem, we obtain a result on the existence of unique ...
Sultana, Asrifa; Vetrivel, V.(Editorial Universitat Politècnica de València, 2014-04-07)
[EN] In this article we establish the existence of a unique best proximity point for some generalized non self contractions on a metric space in a simpler way using a geometric result. Our results generalize some recent ...