ON THE EXISTENCE OF BEST PROXIMITY POINTS OF MULTI-VALUED MAPPINGS IN CAT(0) SPACES

被引：7

作者：

Amnuaykarn, K. ^{[1
,2
]}

Kumam, P. ^{[1
,2
]}

Nantadilok, J. ^{[3
]}

机构：

[1] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, KMUTT Fixed Point Res Lab, Dept Math, Room SCL 802 Fixed Point Lab,Sci Lab Bldg, Bangkok 10140, Thailand

[2] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, KMUTT Fixed Point Theory & Applicat Res Grp KMUTT, Ctr Excellence Theoret & Computat Sci TaCS CoE, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand

[3] Lampang Rajabhat Univ, Dept Math, Lampang, Thailand

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2021年 / 2021卷

关键词：

Best proximity point; CAT(0) space; fixed points; Multi-valued mapping; Proximally quasi-nonexpansive mapping; FIXED-POINTS; CONVERGENCE; THEOREM; CONTRACTIONS; ITERATION; MANN;

D O I：

10.23952/jnfa.2021.25

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the best proximity points of multivalued mappings via Mann and Ishikawa iteration schemes. Several convergence theorems of best proximity points are established in the framework of CAT(0) spaces. Our results extend and improve the related results in the literature.

引用

页数：14

共 35 条

[1] The existence of best proximity points for multivalued non-self-mappings [J].