Tripartite Coincidence-Best Proximity Points and Convexity in Generalized Metric Spaces

被引：4

作者：

Norouzian, M. ^{[1
]}

Abkar, A. ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin 34149, Iran

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2019年 / 50卷 / 04期

关键词：

Coincidence point; Best proximity point; Cyclic contraction; Noncyclic contraction; G-metric space; Uniformly convex G-metric space; EXISTENCE; CONVERGENCE; MAPPINGS; THEOREMS;

D O I：

10.1007/s00574-019-00137-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a triple (K; S; T) consisting of three nonlinear mappings defined on the union A B C of closed subsets of a generalized metric space. After introducing a notion of convex structure in the generalized metric space, we introduce the notion of tripartite contractions, tripartite semi-contractions, tripartite coincidence points, as well as tripartite best proximity points for the triple (K; S; T). We establish theorems on the existence and convergence of tripartite coincidence-best proximity points. Examples are given to support the new findings.

引用

页码：999 / 1028

页数：30

共 29 条

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