TY - JOUR
ID - 683581
TI - On Palais method in b-metric like spaces
JO - Mathematical Analysis and its Contemporary Applications
JA - MACA
LA - en
SN - 2716-9890
AU - Mirkov, Nikola
AU - Mitrovic, Zoran D.
AU - Younis, Mudasir
AU - Radenovic, Stjan
AD - University of Belgrade, Vinca'Institute of Nuclear Sciences - National Institute of the Republic of Serbia, Mike Petrovica Alasa 12--14, 11351 Belgrade, Republic of Serbia
AD - The University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
AD - Department of Mathematics, Jammu Kashmir Institute of Mathematical Sciences, Srinagar, J and K, India
AD - University of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije 16, 11120 Belgrade, Republic of Serbia
Y1 - 2021
PY - 2021
VL - 3
IS - 3
SP - 33
EP - 38
KW - Palais method
KW - Banach contraction principle
KW - fixed point
DO - 10.30495/maca.2021.1932449.1015
N2 - 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.
UR - http://www.macajournal.com/article_683581.html
L1 - http://www.macajournal.com/article_683581_7ad194b60560210f68d38fffef24e9bf.pdf
ER -