Existence of a Fixed Point and Convergence of Iterates for 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 / 06期
关键词：
complete metric space; contractive mapping; fixed point; graph; G-NONEXPANSIVE MAPPINGS; CONTRACTIONS; THEOREMS;
D O I：
10.3390/sym16060705
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：
In the present paper, under certain assumptions, we establish the convergence of iterates for self-mappings of complete metric spaces with graphs which are of a contractive type. The class of mappings considered in the paper contains the so-called cyclical mappings introduced by W. A. Kirk, P. S. Srinivasan and P. Veeramani in 2003 and the class of monotone nonexpansive operators. Our results hold in the case of a symmetric graph.
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页数：10
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