PPF dependent fixed points in A-closed Razumikhin classes
General Topology
2014-05-20 v1
Abstract
The PPF dependent fixed point result in algebraically closed Razumikhin classes due to Agarwal et al [Fixed Point Theory Appl., 2013, 2013:280] is identical with its constant class counterpart; and this, in turn, is reducible to a fixed point principle involving SVV type contractions (over the subsequent metric space of initial Banach structure), without any regularity conditions about the Razumikhin classes. The conclusion remains valid for all PPF dependent fixed point results founded on such global conditions.
Keywords
Cite
@article{arxiv.1405.4536,
title = {PPF dependent fixed points in A-closed Razumikhin classes},
author = {Mihai Turinici},
journal= {arXiv preprint arXiv:1405.4536},
year = {2014}
}