Common fixed point theory for a pair of multivalued operators

被引:2
作者
Petrusel, Adrian [1 ,2 ]
Petrusel, Gabriela [3 ]
机构
[1] Babes Bolyai Univ Cluj Napoca, Dept Math, Cluj Napoca, Romania
[2] Acad Romanian Scientists, Bucharest, Romania
[3] Babes Bolyai Univ Cluj Napoca, Dept Business, Cluj Napoca, Romania
关键词
Metric space; multivalued operator; graph contraction; Feng-Liu operator; fixed point; common fixed point; stability; MAPPINGS;
D O I
10.37193/CJM.2022.03.15
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to present a common fixed point theory for a pair of multivalued operators in complete metric spaces. Existence and stability results for the common fixed point problem will be discussed. The approach is based on some fixed point results for multivalued graphical contractions and for multivalued operators of Feng-Liu type. Our results extend to the multivalued case some recent results in the literature.
引用
收藏
页码:707 / 714
页数:8
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