Fixed point results concerning α-F-contraction mappings in metric spaces

被引：12
作者：
Dey, Lakshmi Kanta [1 ]
Kumam, Poom [2 ]
Senapati, Tanusri [3 ]
机构：
[1] Natl Inst Technol Durgapur, Dept Math, Durgapur, India
[2] KMUTT, Dept Math, 126 Pracha Uthit Rd, Bang Mod 10140, Thung Khru, Thailand
[3] Indian Inst Technol Guwahati, Dept Math, Gauhati, Assam, India
来源：
APPLIED GENERAL TOPOLOGY | 2019年 / 20卷 / 01期
关键词：
metric space; fixed point; generalized alpha-F-contraction; modified generalized alpha-F-contraction; THEOREMS;
D O I：
10.4995/agt.2019.9949
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the notions of generalized alpha-F-contraction and modified generalized alpha-F-contraction. Then, we present sufficient conditions for existence and uniqueness of fixed points for the above kind of contractions. Necessarily, our results generalize and unify several results of the existing literature. Some examples are presented to substantiate the usability of our obtained results.
引用
收藏
页码：81 / 95
页数：15
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