Solution of Non Linear Matrix Equation Using $\theta$-Hyperbolic Sine Distance Functions

Résumé

In this paper we introduce Ciric-type(I) $\theta$-hyperbolic $\mathcal{Z}$- contraction and discuss the existence and uniqueness of fixed point of a mapping satisfying Ciric-type(I) $\theta$-hyperbolic $\mathcal{Z}$- contraction in the setting of orbitally complete metric spaces. We furnish the result by suitable example. Further we apply the results to find solution of non liner matrix equation.