In this manuscript, among other things, we put some remarks on recently established results by I. Altun et al. on a new fixed point result of Perov type and its application to a semilinear operator system, showing that they can be reduced to the known earlier results of M. Jleli and B. Samet. This follows according to the recent significant paper of J. Jachymski and J. Klima on Perov’s fixed point theorem for mappings on generalized metric spaces. Present approach, therefore, unifies fixed point results in vector valued metric spaces.
Кључне речи:
fixed point / vector-valued metric / pseudometric / Perov type / F-contraction
Извор:
TWMS Journal of pure and applied mathematics, 2023, 14, 1, 141-145
Финансирање / пројекти:
Ministry of Education, Science and Technological Development of the Republic of Serbia
TY - JOUR
AU - Mirkov, Nikola S.
AU - Fabiano, Nicola
AU - Radenović, Stojan
PY - 2023
UR - https://vinar.vin.bg.ac.rs/handle/123456789/11375
AB - In this manuscript, among other things, we put some remarks on recently established results by I. Altun et al. on a new fixed point result of Perov type and its application to a semilinear operator system, showing that they can be reduced to the known earlier results of M. Jleli and B. Samet. This follows according to the recent significant paper of J. Jachymski and J. Klima on Perov’s fixed point theorem for mappings on generalized metric spaces. Present approach, therefore, unifies fixed point results in vector valued metric spaces.
T2 - TWMS Journal of pure and applied mathematics
T1 - Critical remarks on a new fixed point result of Perov type and its application to a semilinear operator system
VL - 14
IS - 1
SP - 141
EP - 145
DO - 10.30546/2219-1259.14.1.2023.141
ER -
@article{
author = "Mirkov, Nikola S. and Fabiano, Nicola and Radenović, Stojan",
year = "2023",
abstract = "In this manuscript, among other things, we put some remarks on recently established results by I. Altun et al. on a new fixed point result of Perov type and its application to a semilinear operator system, showing that they can be reduced to the known earlier results of M. Jleli and B. Samet. This follows according to the recent significant paper of J. Jachymski and J. Klima on Perov’s fixed point theorem for mappings on generalized metric spaces. Present approach, therefore, unifies fixed point results in vector valued metric spaces.",
journal = "TWMS Journal of pure and applied mathematics",
title = "Critical remarks on a new fixed point result of Perov type and its application to a semilinear operator system",
volume = "14",
number = "1",
pages = "141-145",
doi = "10.30546/2219-1259.14.1.2023.141"
}
Mirkov, N. S., Fabiano, N.,& Radenović, S.. (2023). Critical remarks on a new fixed point result of Perov type and its application to a semilinear operator system. in TWMS Journal of pure and applied mathematics, 14(1), 141-145.
https://doi.org/10.30546/2219-1259.14.1.2023.141
Mirkov NS, Fabiano N, Radenović S. Critical remarks on a new fixed point result of Perov type and its application to a semilinear operator system. in TWMS Journal of pure and applied mathematics. 2023;14(1):141-145.
doi:10.30546/2219-1259.14.1.2023.141 .
Mirkov, Nikola S., Fabiano, Nicola, Radenović, Stojan, "Critical remarks on a new fixed point result of Perov type and its application to a semilinear operator system" in TWMS Journal of pure and applied mathematics, 14, no. 1 (2023):141-145,
https://doi.org/10.30546/2219-1259.14.1.2023.141 . .
