Best proximity points for (φ − ψ)-weak contractions and some applications


Kamal Fallahi, Ghasem Soleimani Rad, Andreea Fulga




The principal goal of this paper is to express the existence and uniqueness of the best proximity point for a comprehensive contractive non-self mapping in partially ordered metric spaces. The main result covers a lot of former well-known theorems in related to best proximity point. Moreover, as an interesting application, integral versions of main theorem are obtained.