Fixed Point and Convergence Results for Contractive-Type Self-Mappings of Metric Spaces with Graphs

被引：0
作者：
Zaslavski, Alexander J. [1 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源：
SYMMETRY-BASEL | 2024年 / 16卷 / 01期
关键词：
complete metric space; contractive mapping; fixed point; graph; G-NONEXPANSIVE MAPPINGS; THEOREMS;
D O I：
10.3390/sym16010119
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
It is known that a strict contraction on a complete metric space with a graph possesses a fixed point. In the present paper, we show that this property holds for single valued and set-valued self-mappings of metric spaces with graphs that are of the contractive type. We also show the convergence of iterates of these mappings to fixed points. In particular, our results are true for metric spaces with symmetric graphs.
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页数：15
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