b-距离空间中有限个等式约束下的耦合不动点问题OACSTPCD

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.