%0 Journal Article
%T Strict fixed points of '{C}iri'{c}-generalized weak quasicontractive multi-valued mappings of integral type
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Mohammadi, Babak
%D 2018
%\ 12/15/2018
%V 9
%N 2
%P 117-129
%! Strict fixed points of '{C}iri'{c}-generalized weak quasicontractive multi-valued mappings of integral type
%K strict fixed point
%K '{C}iri'{c}-generalized weak quasi-contraction
%K multi-valued mappings
%K integral type
%R 10.22075/ijnaa.2017.1312.1324
%X 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 $alphain[frac{1}{2}, 1)$ 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.
%U https://ijnaa.semnan.ac.ir/article_3511_e5747011237bd65360933a55ff42edcd.pdf