Fixed Point Theory in Bicomplex Metric Spaces: A New Framework with Applications

被引：0
|
作者：
Alamri, Badriah [1 ]
机构：
[1] Univ Jeddah, Coll Sci, Dept Math & Stat, Jeddah 23218, Saudi Arabia
来源：
MATHEMATICS | 2024年 / 12卷 / 11期
关键词：
common fixed point; bicomplex valued metric space; generalized contractive condition; Volterra integral equation; RATIONAL CONTRACTIONS; MAPPINGS;
D O I：
10.3390/math12111770
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper investigates the existence of common fixed points for mappings satisfying generalized rational type contractive conditions in the framework of bicomplex valued metric spaces. Our findings extend well-established results in the existing literature. As an application of our leading result, we explore the existence and uniqueness of solutions of the Volttera integral equation of the second kind.
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页数：20
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