Statistical cluster points and turnpike^*

I: Fréchet-Urysohn spaces

“…But in general, s-convergent sequences satisfy many of the properties of ordinary convergent sequences in metric spaces. It has been discussed and developed by many authors [3,5,6,9,10,11,21,22,25,26].…”

Statistical Cluster Points of Sequences in Finite Dimensional Spaces

“…Later this notion has been studied by Šalát [9], Fridy [3], [4], Connor [1] and so on. Recently, Pehlivan and Mamedov [7] have proved that all optimal paths have the same unique statistical cluster point which is also a statistical limit point. In [8] these concepts were used in Turnpike theory as an application.…”

On the Concept of Limit Inferior and Limit Superior

“…This concept become useful tool for some fundamental subjects of mathematics the last half of the century such as number theory [4], [5], trigono-metric series [6], summability theory [7], measure theory [8], optimization theory [9] and approximation theory [10]. Fridy progressed with the concept of statistically Cauchy sequence in [2] and proved that it is equivalent to statistical convergence.…”