A study of a special kind of N-fixed point equation system and applications

[摘要] The purpose of this paper is to study a system of $N$-fixed point equations in metric spaces. The existence and uniqueness of solution and an iterative algorithm for approximating the solution are studied. This system of fixed point equations is an extension of the classical of fixed point equation $x=Tx$. The results of this paper improve several important works recently published in the literature.

[学科分类] 数学（综合）

[关键词] contraction mapping principle;complete metric spaces;multivariate fixed point;multiply metric function;system of N-fixed point operator equations;initial value problem