Abstract
Just recently M. Aslantas [A new contribution to best proximity point theory on quasi metric spaces and an application to nonlinear integral equations. Optimization. 2022] established a new best proximity point theorem multivalued non-self mappings which satisfy an appropriate contractive condition in the framework of quasi metric spaces. Then he applied the existing result to present an application to the solvability of a class of nonlinear integral equations. In this short note, we show that the best proximity point theorem proved in the aforesaid article is a special case of a fixed point theorem for multivalued contraction type mappings which was studied by J. Marin et al. [Q-functions on quasimetric spaces and fixed points for multivalued maps. Fixed Point Theory Appl. 2011:Article ID 603861].
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