Existence of a Fixed Point and Convergence of Iterates for Self-Mappings of Metric Spaces with Graphs

被引：1

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.

引用

页数：10

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