@article {
author = {Mohammadi, Babak},
title = {Strict fixed points of \'{C}iri\'{c}-generalized weak quasicontractive multi-valued mappings of integral type},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {9},
number = {2},
pages = {117-129},
year = {2018},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1312.1324},
abstract = {Many authors such as Amini-Harandi, Rezapour et al., Kadelburg et al., have tried to find at least one fixed point for quasi-contractions when $\alpha\in[\frac{1}{2}, 1)$ but no clear answer exists right now and many of them either have failed or changed to a lighter version. In this paper, we introduce some new strict fixed point results in the set of multi-valued \'{C}iri\'{c}-generalized weak quasi-contraction mappings of integral type. We consider a necessary and sufficient condition on such mappings which guarantees the existence of unique strict fixed point of such mappings. Our result is a partial positive answer for the mentioned problem which has remained open for many years. Also, we give an strict fixed point result of $\alpha$-$\psi$-quasicontractive multi-valued mappings of integral type. Our results generalize and improve many existing results on multi-valued mappings in literature. Moreover, some examples are presented to support our new class of multi-valued contractions.},
keywords = {strict fixed point,'{C}iri'{c}-generalized weak quasi-contraction,multi-valued mappings,integral type},
url = {https://ijnaa.semnan.ac.ir/article_3511.html},
eprint = {https://ijnaa.semnan.ac.ir/article_3511_e5747011237bd65360933a55ff42edcd.pdf}
}