TY - JOUR
ID - 7452
TI - Common fixed point ($\alpha_*$-$\psi$-$\beta_{i}$)-contractive set-valued mappings on orthogonal Branciari $S_{b}$-metric space
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Rashea Shaeri, Mohammad
AU - Hassanzadeh Asl, Jalal
AU - Eshaghi Gordji, Madjid
AU - Refaghat, Hassan
AD - Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University, Tabriz, Iran
AD - Department of Mathematics, Semnan University, Semnan, Iran
Y1 - 2023
PY - 2023
VL - 14
IS - 12
SP - 105
EP - 120
KW - $\alpha_*$-$\psi$-$\beta_{i}$)-contractive
KW - Branciari $S_{b}$-metric space
KW - Common fixed point
KW - Solution to an initial value problem
DO - 10.22075/ijnaa.2023.27426.3597
N2 - In [24], Khan et al. established some fixed point theorems in complete and compact metric spaces by using altering distance functions. In [16] Gordji et al. described the notion of orthogonal set and orthogonal metric spaces. In [18] Gungor et al. established fixed point theorems on orthogonal metric spaces via altering distance functions. In [25] Lotfy et al introduced the notion of $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric spaces with application to fractional integral equations. In [28] K. Royy et al. described the notion of Branciari $S_b$-metric space and related fixed point theorems with an application. In this paper, we introduce the notion of the common fixed point ($\alpha_*$-$\psi$-$\beta_{i}$)-contractive set-valued mappings on orthogonal Branciari $S_{b}$-metric space with the application of the existence of a unique solution to an initial value problem.
UR - https://ijnaa.semnan.ac.ir/article_7452.html
L1 - https://ijnaa.semnan.ac.ir/article_7452_fe69e1882f3ee3e0356d46016f28f8d9.pdf
ER -