@article {
author = {Vatani, Minoo and Hassanzadeh Asl, Jalal and Eshaghi Gordji, Madjid and Jahangiri Rad, Mohammad},
title = {Fixed point for $\alpha_{*}$-$\psi$-$\beta_{i}$-contractive set-valued mappings on Branciari $S_{b}$-metric space},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {15},
number = {12},
pages = {369-384},
year = {2024},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2024.28045.3793},
abstract = {In 1984, Khan et al. established some fixed point theorems in complete and compact metric spaces by altering distance functions. In 2020, Lotfy et al. introduced the $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric spaces applied to fractional integral equations. In 2022, Roy 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 fixed point theorems for $\alpha_{*}$-$\psi$-$\beta_{i}$-contractive set-valued mappings on Branciari $S_{b}$-metric space with application to fractional integral equations.},
keywords = {$alpha_{*}$-$psi$-$beta_{i}$-contractive,Branciari $S_{b}$-metric space,Fixed points,Fractional integral equations},
url = {https://ijnaa.semnan.ac.ir/article_8498.html},
eprint = {https://ijnaa.semnan.ac.ir/article_8498_148a81afbd77075455a77b3d2f5d866f.pdf}
}