A new metric that quantifies the predictability of a time series is introduced. This new time series predictability metric is developed based on the η -metric method introduced by Kaboudan, but overcomes the resolution and stationarity problems presented in the pure η -metric method. It also provides a new feature, which shows how the predictability changes over different subsequences in a time...

In this paper, we prove a general fixed point theorem in $textrm{S}$-metric spaces for maps satisfying an implicit relation on complete metric spaces. As applications, we get many analogues of fixed point theorems in metric spaces for $textrm{S}$-metric spaces.

We propose a diagonal metric selection for variable metric proximal gradient method (VMPG). The proposed metric better captures the local geometry of the problem and provides improved convergence compared to the standard proximal gradient (PG) methods with Barzilai-Borwein (BB) stepsize selection. Further, we provide convergence guarantees for the proposed method and illustrate its advantages o...

the general relatively isotropic mean landsberg metrics contain the general relativelyisotropic landsberg metrics. a class of finsler metrics is given, in which the mentioned two conceptsare equivalent. in this paper, an interpretation of general relatively isotropic mean landsberg metrics isfound by using c-conformal transformations. some necessary conditions for a general relativelyisotropic ...