%0 Journal Article %T On Palais method in b-metric like spaces %J Mathematical Analysis and its Contemporary Applications %I Research & Science Group Ltd %Z 2716-9898 %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 %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 https://www.macajournal.com/article_683581_7ad194b60560210f68d38fffef24e9bf.pdf