On the Iterative Multivalued ⊥-Preserving Mappings and an Application to Fractional Differential Equation

被引：1

作者：

Nazam, Muhammad ^{[1
]}

Chandok, Sumit ^{[2
]}

Hussain, Aftab ^{[3
]}

Sulmi, Hamed H. Al ^{[3
]}

机构：

[1] Allama Iqbal Open Univ, Dept Math, H-8, Islamabad 44000, Pakistan

[2] Thapar Inst Engn & Technol, Sch Math, Patiala 147004, Punjab, India

[3] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

AXIOMS | 2023年 / 12卷 / 01期

关键词：

fixed point; (V; W)-orthogonal contractions; O-complete metric space; FIXED-POINT; ORTHOGONAL SETS;

D O I：

10.3390/axioms12010053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce orthogonal multivalued contractions, which are based on the recently introduced notion of orthogonality in the metric spaces. We construct numerous fixed point theorems for these contractions. We show how these fixed point theorems aid in the generalization of a number of recently published findings. Additionally, we offer a theorem that establishes the existence of a fractional differential equation's solution.

引用

页数：16