A New Interpolative $(\varphi,\psi)$-Type $\mathfrak{Z}$-Contraction with Application to Nonlinear Matrix Equation Systems
A New Interpolative $(\varphi,\psi)$-Type $\mathfrak{Z}$-Contraction with Application to Nonlinear Matrix Equation Systems
Abstract
In this study, we introduce a new concept of interpolative $(\varphi,\psi)-$ type $\mathfrak{Z}-$ contraction
via quasi-triangular $\theta-$admissible mapping and prove some related fixed point theorems
in the context of $b-$ metric space. As an application of our results, we solve a system of non-linear matrix equations. Finally, a numerical example is presented to demonstrate the validity and practical significance of our approach.
Downloads
Copyright (c) 2025 Boletim da Sociedade Paranaense de Matemática
This work is licensed under a Creative Commons Attribution 4.0 International License.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
