@article {
author = {Rashea Shaeri, Mohammad and Hassanzadeh Asl, Jalal and Eshaghi Gordji, Madjid and Refaghat, Hassan},
title = {Common fixed point ($\alpha_*$-$\psi$-$\beta_{i}$)-contractive set-valued mappings on orthogonal Branciari $S_{b}$-metric space},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {},
number = {},
pages = {-},
year = {2023},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {},
doi = {10.22075/ijnaa.2023.27426.3597},
abstract = {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.},
keywords = {$\alpha_*$-$\psi$-$\beta_{i}$)-contractive,Branciari $S_{b}$-metric space,Common fixed point, Solution to an initial value problem},
url = {https://ijnaa.semnan.ac.ir/article_7452.html},
eprint = {https://ijnaa.semnan.ac.ir/article_7452_a280acdf680ee68ea87cf26c63fa96fb.pdf}
}