Fixed-Point Study of Generalized Rational Type Multivalued Contractive Mappings on Metric Spaces with a Graph

被引：0
|
作者：
Choudhury, Binayak S. [1 ]
Metiya, Nikhilesh [2 ]
Khatua, Debashis [1 ]
de la Sen, Manuel [3 ]
机构：
[1] Indian Inst Engn Sci & Technol, Dept Math, Howrah 711103, W Bengal, India
[2] Sovarani Mem Coll, Dept Math, Howrah 711408, W Bengal, India
[3] Univ Basque Country, Inst Res & Dev Proc, Fac Sci & Technol, Campus Leioa, Leioa 48940, Spain
来源：
AXIOMS | 2021年 / 10卷 / 01期
关键词：
fixed-point; multivalued maps; F-contraction; directed graph; metric space;
D O I：
10.3390/axioms10010031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main result of this paper is a fixed-point theorem for multivalued contractions obtained through an inequality with rational terms. The contraction is an F-type contraction. The results are obtained in a metric space endowed with a graph. The main theorem is supported by illustrative examples. Several results as special cases are obtained by specific choices of the control functions involved in the inequality. The study is broadly in the domain of setvalued analysis. The methodology of the paper is a blending of both graph theoretic and analytic methods.
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