ON COMMON AND SEQUENTIAL FIXED POINTS VIA ASYMPTOTIC REGULARITY

被引：2
|
作者：
Bisht, Ravindra Kishor [1 ]
Panja, Sayantan [2 ]
Roy, Kushal [2 ]
Saha, Mantu [2 ]
机构：
[1] Natl Def Acad, Dept Math, Pune 411023, Maharashtra, India
[2] Univ Burdwan, Dept Math, Purba Bardhaman 713104, W Bengal, India
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2022年 / 37卷 / 01期
关键词：
Fixed point; common fixed point; asymptotic regularity; orbital continuity; k-continuity; Ciric-Proinov-Gornicki type mapping; THEOREMS;
D O I：
10.4134/CKMS.c210001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce some new classes of generalized mappings and prove some common fixed point theorems for a pair of asymptotically regular mappings. Our results extend and improve various well-known results due to Kannan, Reich, Wong, Hardy and Rogers, Ciric, Jungck, Gornicki and many others. In addition to it, a sequential fixed point for a mapping which is the point-wise limit of a sequence of functions satisfying Ciric-Proinov-Gornicki type mapping has been proved. Supporting examples have been given in strengthening hypotheses of our established theorems.
引用
收藏
页码：163 / 176
页数：14
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