We consider the metric transformation of measure spaces/pyramids. clarify conditions to obtain convergence sequence transformed spaces from that original sequence, and, conversely, respectively. As an application, we prove spheres and projective with standard Riemannian distance converge a Gaussian space Hopf quotient space, respectively, as dimension diverges infinity.

The concept of statistical convergence was presented by Steinhaus in 1951. This concept was extended to the double sequences by Mursaleen and Edely in 2003. Karakus has recently introduced the concept of statistical convergence of ordinary (single) sequence on probabilistic normed spaces. In this paper, we define statistical analogues of convergence and Cauchy for double sequences on probabilis...

In this paper, several $Delta$ and strong convergence theorems are established for the Ishikawa iterations for nonexpansive mappings in the framework of CAT(0) spaces. Our results extend and improve the corresponding results