Best proximity point for the proximal nonexpansive mapping on the starshaped sets
Jianren Chen, Song Xiao, Hui Wang, Shiwen Deng · Fixed Point Theory and Applications · 2015
Abstract The existence of the best proximity point for the proximal nonexpansive mapping on starshaped sets is studied. Our results are established without the assumptions of continuity, affinity or the P-property. Finally, as applications of the theorems, analogs for the nonexpansive mappings are also given.