Fixed points of multivalued mappings satisfying hybrid rational Pata-type inequalities

被引：5
作者：
Choudhury, Binayak S. [1 ]
Metiya, N. [2 ]
Bandyopadhyay, C. [1 ]
Maity, P. [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] Natl Inst Technol, Dept Math, Rourkela 769008, Odisha, India
来源：
JOURNAL OF ANALYSIS | 2019年 / 27卷 / 03期
关键词：
Metric space; Fixed point; Hybrid contraction; Setvalued mapping; Hausdorff distance; delta-Distance; 54H25; 47H10; 54C60;
D O I：
10.1007/s41478-018-0131-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we define a multivalued contraction mapping which is a hybrid construction of rational Kannan type and Pata type inequalities and show that such mappings have fixed points in complete metric spaces. We utilize both Hausdorff and delta -distances. The results are illustrated with examples. The methodology of the proof is the newly introduced one for Pata type. The work is in the domain of set valued analysis.
引用
收藏
页码：813 / 828
页数：16
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