Some common fixed-point and invariant approximation results with generalized almost contractions

被引：8
|
作者：
Rathee, Savita [1 ]
Kumar, Anil [1 ]
机构：
[1] Maharshi Dayanand Univ, Dept Math, Rohtak 124001, Haryana, India
来源：
FIXED POINT THEORY AND APPLICATIONS | 2014年
关键词：
best approximation; Banach operator pair; generalized almost contraction; property (N); jointly continuous contractive family; BANACH OPERATOR PAIRS; NONEXPANSIVE-MAPPINGS; CIRIC-TYPE; THEOREMS;
D O I：
10.1186/1687-1812-2014-23
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the concept of a generalized almost (f,g)-contraction is introduced and we establish some common fixed-point results for the noncommuting generalized almost (f,g)-contraction in the setup of metric spaces and normed linear spaces, where the set of fixed points of f and g need not be starshaped. As applications, invariant approximation results are proved. Supporting examples are also given.
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页数：16
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