We introduce a new class of non-self-contractive mappings. For such mappings, we study the existence and uniqueness of best proximity points. Several applications and interesting consequences of our obtained results are derived.
Mohamed Jleli. Erdal Karapınar. Bessem Samet. "Best Proximity Points for Generalized -Proximal Contractive Type Mappings." J. Appl. Math. 2013 (SI21) 1 - 10, 2013. https://doi.org/10.1155/2013/534127