%0 Journal Article
%T On Palais method in b-metric like spaces
%J Mathematical Analysis and its Contemporary Applications
%I A.I.A University Publishing Group.
%Z 2716-9890
%A Mirkov, Nikola
%A Mitrovic, Zoran D.
%A Younis, Mudasir
%A Radenovic, Stjan
%D 2021
%\ 09/01/2021
%V 3
%N 3
%P 33-38
%! On Palais method in b-metric like spaces
%K Palais method
%K Banach contraction principle
%K fixed point
%R 10.30495/maca.2021.1932449.1015
%X This paper aims to prove that the Lipschitz constant in the Banach contraction principle belongs to the whole interval [0, 1) for all the six classes of spaces viz. metric spaces, b-metric spaces, partial metric spaces, partial b-metric spaces, metric like space, and finally for more general spaces called b-metric like spaces. For the proof, the idea of Palais is used and applied in a more general setting. However, the current approach is a bit more general, because the present result is applied to spaces, where the condition d(x, y) = 0 yields x = y but not conversely. Accordingly, the outcome of the paper sums up, complements and binds together known results available in the current research literature.
%U http://www.macajournal.com/article_683581_7ad194b60560210f68d38fffef24e9bf.pdf