EXISTENCE OF SOLUTIONS TO MULTIVALUED PROBLEMS IN INCOMPLETE METRIC SPACES WITH APPLICATIONS

被引：0

作者：

Chandok, Sumit ^{[1
]}

机构：

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

来源：

MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 02期

关键词：

O-complete; fixed point; orthogonal multivalued contraction; orthogonal metric space; FIXED-POINT THEOREMS; ORTHOGONAL SETS; STABILITY;

D O I：

10.18514/MMN.2023.4052

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain some existence results for multivalued contraction mappings in the context of an O-complete orthogonal metric space (not necessarily complete metric space). Also, we provide a partial solution to Reich's problem for multivalued orthogonal contraction mappings and extend Mizoguchi-Takahashi's point theorem. In addition, we give an example to demonstrate the applicability of our established results. We study the solution of a differential equation and its Ulam's stability as an application of the obtained results.

引用

页码：737 / 747

页数：11

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