Monotone Orbitally Nonexpansive and Cyclic Mappings in Partially Ordered Uniformly Convex Banach Spaces

被引：0
|
作者：
Gabeleh, Moosa [1 ]
Karimi, Lotfollah [2 ]
Vetro, Calogero [3 ]
机构：
[1] Ayatollah Boroujerdi Univ, Dept Math, Boroujerd, Iran
[2] Hamedan Univ Technol, Dept Elect Engn, Hamadan, Iran
[3] Univ Palermo, Dept Math & Comp Sci, Via Archirafi 34, I-90123 Palermo, Italy
来源：
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2024年 / 19卷 / 01期
关键词：
Best proximity point; T-cyclic contraction; Monotone orbitally nonexpansive mapping; Uniformly convex Banach space; FIXED-POINT THEOREM; CONVERGENCE;
D O I：
10.61186/ijmsi.19.1.19
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：19 / 33
页数：15
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