In this paper we consider two matrix equations that involve the weighted geometric mean. We use fixed point theorem in cone of positive definite matrices to prove existence a unique solution. addition, study multi-step stationary iterative method for those and corresponding convergence. A fidelity measure quantum states based on mean is introduced as an application equation.

This paper is devoted to the investigation of weighted mean topological dimension in dynamical systems. We show that not larger than metric dimension, which generalizes classical result Lindenstrauss and Weiss [16] . also establish relationship between entropy systems, indicates each system with finite or small boundary property has zero dimension.

one of the most basic issues that currently the country and even the world is faced with the problem of lack of water and drying up of rivers, wetlands, lakes and etc. in this context, investigated for the reasons and the effects and consequences is essential. in this study, we have tried to use the swot matrix for drying river gamasyab be examined. in this regard, using the rating scale to the...