Fixed-Point Results for Krasnoselskii, Meir-Keeler, and Boyd-Wong-Type Mappings with Applications to Dynamic Market Equilibrium

被引：0

作者：

Guo, Lifang ^{[1
]}

Bibi, Rabia ^{[2
]}

Alshejari, Abeer ^{[3
]}

Savas, Ekrem ^{[4
]}

Kamran, Tayyab ^{[2
]}

Ishtiaq, Umar ^{[5
]}

机构：

[1] Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404020, Peoples R China

[2] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan

[3] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

[4] Usak Univ, Dept Math, TR-64200 Usak, Turkiye

[5] Univ Management & Technol, Off Res Innovat & Commercializat, Lahore 54770, Pakistan

来源：

AXIOMS | 2024年 / 13卷 / 12期

关键词：

cone metric; fixed point; Krasnoselskii; Boyd-Wong; Fredholm integral equations; CONE METRIC-SPACES; THEOREMS;

D O I：

10.3390/axioms13120867

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper introduces the idea of a cone m-hemi metric space, which extends the idea of an m-hemi metric space. By presenting non-trivial examples, we demonstrate the superiority of cone m-hemi metric spaces over m-hemi metric spaces. Further, we extend the Banach contraction principle and Krasnoselskii, Meir-Keeler, Boyd-Wong, and some other fixed-point results in the setting of complete and compact cone m-hemi metric spaces. Furthermore, we provide several non-trivial examples and applications to the Fredholm integral equation and dynamic market equilibrium to demonstrate the validity of the main results.

引用

页数：21

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