%0 Journal Article
%T Some Notes on the Paper [Further Discussion on Modiﬁed Multivalued α_*-Ψ-Contractive Type Mappings]
%J Communications in Nonlinear Analysis
%I RGNAA Publishing
%Z 2371-7920
%A Mohammadi, Babak
%A Parvaneh, Vahid
%D 2019
%\ 08/01/2019
%V 6
%N 1
%P 18-22
%! Some Notes on the Paper [Further Discussion on Modiﬁed Multivalued α_*-Ψ-Contractive Type Mappings]
%K α_*-Ψ-contractive
%K α_*-η-Ψ -contractive
%K Common fixed point
%K multi-valued mapping
%R
%X In this paper, we show that the claim of the paper [Ali et al., Further discussion on modified multivaluedα_*-Ψ-contractive type mappings, Filomat 29 (2015)] which says that the notion of α_*-η-Ψ-contractive multivaluedmappings can not be reduced into α_*-Ψ-contractive multi-valued mappings, is not true. Also, weprovide a common fixed point result for an α_*-admissible countable family of multi-valued mappings. Finally,we show that the common fixed point result of Ali et al. for a countable family of multi-valued mappingsusing α_*-admissible mappings with respect to η can be reduced to α_*-admissible mappings without usingthe auxiliary function].
%U http://www.cna-journal.com/article_90789_b91f575deadb2b4446efa86f0087a08b.pdf