Extraction new results of common fixed point theorems for \(({T}, {\alpha }_{{s}}, {F})\) -contraction of six mappings in a tripled b -metric space with an application of integral equations

[摘要] The aim of this work is to usher in tripled b-metric spaces, triple weakly $\alpha _{s}$ -admissible, triangular partially triple weakly $\alpha _{s}$ -admissible and their properties for the first time. Also, we prove some theorems about coincidence and common fixed point for six self-mappings. On the other hand, we present a new model, talk over an application of our results to establish the existence of common solution of the system of Volterra-type integral equations in a triple b-metric space. Also, we give some example to illustrate our theorems in the section of main results. Finally, we show an application of primary results.

[学科分类] 电力

[关键词] 47H10;54H25;37C25