%0 Journal Article
%A Gabeleh, Moosa
%A Karimi, Lotfollah
%A Vetro, Calogero
%T Monotone Orbitally Nonexpansive and Cyclic Mappings in Partially Ordered Uniformly Convex Banach Spaces
%J Iranian Journal of Mathematical Sciences and Informatics
%V 19
%N 1
%U http://ijmsi.ir/article-1-1729-en.html
%R 10.61186/ijmsi.19.1.19
%D 2024
%K Best proximity point, T -cyclic contraction, Monotone orbitally nonexpansive mapping, Uniformly convex Banach space.,
%X In the setting of uniformly convex Banach spaces equipped with a partially ordered relation, we survey the existence of fixed points for monotone orbitally nonexpansive mappings. In this way, we extend and improve the main results of Alfuraidan and Khamsi [M. R. Alfuraidan, M. A. Khamsi, Proc. Amer. Math. Soc., 146, (2018), 2451-2456]. Examples are given to show the usability of our main conclusions. We also study the existence of an optimal solution for cyclic contractions in such spaces.
%> http://ijmsi.ir/article-1-1729-en.pdf
%P 19-33
%& 19
%!
%9 Research paper
%L A-10-2998-1
%+ Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123, Palermo, Italy
%G eng
%@ 1735-4463
%[ 2024