Inverse fixed points of sequences of mappings

被引：0
|
作者：
Moorthy, C. Ganesa [1 ]
Raj, S. Iruthaya [2 ]
机构：
[1] Alagappa Univ, Dept Math, Karaikkudi 630003, Tamil Nadu, India
[2] Loyola Coll Autonomous, PG & Res Dept Math, Chennai 600034, Tamil Nadu, India
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2021年 / 14卷 / 02期
关键词：
Fixed point; Hausdorff metric;
D O I：
10.1142/S1793557121500273
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
If fn : X -> X, n = 1, 2, horizontal ellipsis , is a sequence of mappings on a metric space (X,d), a point x in X is called an inverse fixed point of the sequence (f(n)), if inf{d(x,y) : y is an element of f(n)(-1)(x)} tends to zero as n tends to infinity. This definition is proposed and studied in this paper to obtain a few fixed point results.
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