Generalized contractions for a sequence of multi-valued mappings

被引：0
作者：
Boshra Hosseini
Alireza Kamel Mirmostafaee
机构：
[1] Ferdowsi University of Mashhad,Department of Pure Mathematics, School of Mathematical Sciences
[2] Ferdowsi University of Mashhad,Center of Excellence in Analysis on Algebric Structure, Department of Pure Mathematics
来源：
Journal of Fixed Point Theory and Applications | 2020年 / 22卷
关键词：
Fixed points; set-valued operators; graph; Primary 47H10; Secondary 47H04; 05C40; 54H25;
D O I：
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学科分类号：
摘要：
The aim of this paper is to obtain a general result for existence of common fixed points for a sequence of multi-valued mappings on a K-quasimetric space endowed with a graph. This will enable us to present a simultaneous generalization of various types of fixed point theorems in the literature. In particular, we show that some fixed point theorems in metric spaces can be generalized to 2-quasimetric spaces.. We also provided an example to show that our results are genuine generalization of some old results.
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