@article {
author = {Mirkov, Nikola and Mitrovic, Zoran and Younis, Mudasir and Radenovic, Stjan},
title = {On Palais method in b-metric like spaces},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {3},
number = {3},
pages = {33-38},
year = {2021},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {10.30495/maca.2021.1932449.1015},
abstract = {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.},
keywords = {Palais method,Banach contraction principle,fixed point},
url = {http://www.macajournal.com/article_683581.html},
eprint = {http://www.macajournal.com/article_683581_7ad194b60560210f68d38fffef24e9bf.pdf}
}