Strict fixed point and Ulam-Hyers stability of multivalued asymptotically regular mappings

被引：0

作者：

Oyetunbi, Dolapo Muhammed ^{[1
]}

Khan, Abdul Rahim ^{[2
]}

Saleh, Khairul ^{[3
]}

机构：

[1] Univ Ottawa, Dept Math & Stat, Ottawa, ON, Canada

[2] Inst Southern Punjab, Dept Math & Stat, Multan, Pakistan

[3] King Fahd Univ Petr & Minerals, Dept Math, Dhahran, Saudi Arabia

来源：

FILOMAT | 2024年 / 38卷 / 02期

关键词：

Asymptotically regular; multivalued mapping; metric space; orbitally continuous; strict fixed point; Ulam-Hyers stability; well-posedness; GENERALIZED SENSE; WELL-POSEDNESS; THEOREM; EQUATIONS;

D O I：

10.2298/FIL2402661O

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the existence and uniqueness of strict fixed point for an asymptotically regular multivalued mapping in a metric space. We also study the Ulam-Hyers stability, well-posedness and data dependence of the associated strict fixed point problem. We give an example to illustrate our results. Our work extends and complements important results existing in the literature.

引用

页码：661 / 668

页数：8

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