REMARKS ON MONOTONE CONTRACTIVE TYPE MAPPINGS IN WEIGHTED GRAPHS

被引：0
作者：
Bin Dehaish, Buthinah A. [1 ,2 ]
Khamsi, Mohamed A. [3 ,4 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21593, Saudi Arabia
[2] Univ Jeddah, Fac Sci, Dept Math, Jeddah, Saudi Arabia
[3] Univ Texas El Paso, Dept Math Sci, El Paso, TX 79968 USA
[4] King Fand Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2018年 / 19卷 / 06期
关键词：
Asymptotic nonexpansive mapping; fixed point; monotone mapping; partially ordered; uniformly convex; PARTIALLY ORDERED SETS; EQUATIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we will discuss the recent work of Gornicki in the context of weighted graphs. This extension is valuable since it relaxes any order structure defined on a metric space. This approach finds its origin in the work of Jachymski. To be more specific, we prove that continuous Ciric-Jachymski-Matkowski contraction mappings monotone in the graphical sense have a fixed point.
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页码：1021 / 1027
页数：7
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