Fixed point theorems of suzuki-type contractions in s-metric spaces with ternary relation and applications

In this paper we define a new class of Suzuki-type contractions and prove some results on fixed points in S-metric spaces with ternary relation.As an application of our results, we prove the existence of solutions for some classes of nonlinear matrix equations and provide a convergence analysis.Also, our results generalize recent results from the literature.