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

页码：163 / 176

页数：14

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