数学杂志2024，Vol.44Issue(2)：169-181,13.
b-距离空间中有限个等式约束下的耦合不动点问题
A COUPLED FIXED POINT PROBLEM UNDER A FINITE NUMBER OF EQUALITY CONSTRAINTS IN b-METRIC SPACES
摘要
Abstract
The coupled fixed point problem under a finite number of equality constraints in b-metric space is studied in this article.A class of nonlinear compressible coupled fixed point results under a finite number of equality constraints are obtained in b-metric space by the method of mathematical induction.Our results generalize the theorems from metric spaces to b-metric spaces.In particular,the contractive conditions in our results are independent of the contractive constant.As applications of our results,fixed point theorems under symmetric equality constraints,common coupled fixed point theorems and nonlinear contractive fixed point theorems in b-metric spaces are obtained.These results can deduce many existing results and even completely remove some conditions in some results.关键词
b-距离空间/耦合不动点/等式约束/非线性压缩Key words
b-Metric space/Coupled fixed point/Equality constraints/Nonlinear contrac-tion分类
数理科学引用本文复制引用
贺丹妮,贺飞..b-距离空间中有限个等式约束下的耦合不动点问题[J].数学杂志,2024,44(2):169-181,13.基金项目
国家自然科学基金资助(12061050) （12061050）
内蒙古自然科学基金资助(2020MS01004). （2020MS01004）
