Title of article
Monotone Orbitally Nonexpansive and Cyclic Mappings in Partially Ordered Uniformly Convex Banach Spaces
Author/Authors
Gabeleh ، Moosa Department of Mathematics - Ayatollah Boroujerdi University , Karimi ، Lotfollah Department of Electrical Engineering - Hamedan University of Technology , Vetro ، Calogero Department of Mathematics and Computer Science - University of Palermo
From page
19
To page
33
Abstract
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.
Keywords
Best proximity point , T , cyclic contraction , Monotone orbitally nonexpansive mapping , Uniformly convex Banach space
Journal title
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Journal title
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Record number
2762106
Link To Document