title: On the best proximity point for the proximal contractive and nonexpansive mappings on the starshaped sets.
abstract: The purpose of this paper is to the best proximity point theorems for the proximal nonexpansive mapping on the starshaped sets by using a clever and simple method. The results improve and extend the recent results of Chen et al. (Fixed Point Theory Appl 2015:19, 2015). It should be noted that, the complex method is used by Jianren Chen et al. can be replaced by the clever and simple method presented in this paper.
authors.affiliation: Deprtment of Mathematics and Sciences, Shijiazhuang University of Economics, Shijiazhuang, 050031 People's Republic of China.
authors.forename: Meifang
authors.initials: M
authors.lastname: Guo
authors.affiliation: Deprtment of Mathematics and Sciences, Shijiazhuang University of Economics, Shijiazhuang, 050031 People's Republic of China.
authors.forename: Xia
authors.initials: X
authors.lastname: Li
authors.affiliation: Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300387 People's Republic of China.
authors.forename: Yongfu
authors.identifier: 0000-0001-8656-471X
authors.initials: Y
authors.lastname: Su
keywords: Best proximity point; Nonexpansive map; Proximal nonexpansive mapping; Starshaped set