In this paper, we introduce what we called weak convergence of filters and show 
that, in Uryson spaces, weak limits are unique. Moreover, we show that, in a regular space 
X, with XE⊆, if only and ifEx∈ there is a filter ℑ on X which converges weakly to x and EF∩ 
ℑ∈∀≠ F φ. We also prove that closure continuous maps preserve weak convergence of 
filters. As a main result, we prove that, in regular spaces, weak convergence of filters is 
equivalent to convergence of filters

Title

Progress in Nonlinear Dynamics and Chaos

Publisher

House of Scientific Research (HSR)

Publisher Country

India

Publication Type

Prtinted only

Volume

5

Year

2017

Pages

11-15