On existence and approximation of common fixed points in b-metric spaces

被引：1
|
作者：
Kumar, D. Ramesh [1 ]
Prabavathy, M. [2 ]
Radenovic, S. [3 ]
机构：
[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India
[2] Univ Madras, Ramanujan Inst Adv Study Math, Chennai 600005, Tamil Nadu, India
[3] Univ Belgrade, Fac Mech Engn, 11120 Beograde 35, Belgrade, Serbia
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 15卷 / 02期
关键词：
Common fixed point; P property; Jungck-Picard iteration; b-metric space;
D O I：
10.1142/S1793557122500309
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to establish the uniqueness and existence of the common fixed point under generalized contractive conditions in b-metric spaces with supportive examples. We also approximate the common fixed point by Jungck-Picard and Picard iteration procedures along with the P property of the mappings. Further, (T, f)-stability of Jungck-Picard iterative and T-stability of Picard iterative schemes are proved.
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页数：10
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