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

页码：19 / 33

页数：15

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