Multivalued Fixed Point Theorem in b-Metric Spaces and its Application to Differential Inclusions

被引：3
|
作者：
Berzig, Maher [1 ]
Kedim, Imed [2 ]
Mannai, Aymen [3 ]
机构：
[1] Univ Tunis, Ecole Natl Super Ingenieurs Tunis, Dept Math, Tunis 1008, Tunisia
[2] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Sulail, Dept Math, Al Kharj, Saudi Arabia
[3] Univ Tunis El Manar, Fac Sci Tunis, Campus Univ, Tunis 1060, Tunisia
来源：
FILOMAT | 2018年 / 32卷 / 08期
关键词：
Multivalued fixed point; b-metric spaces; well-posedness; limit shadowing properties; Ulam-Hyers stability; differential inclusion; ULAM-HYERS STABILITY; MAPPINGS;
D O I：
10.2298/FIL1808963B
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our purpose in this paper is to present a fixed point result for multivalued mappings satisfying nonlinear quasi-contractive condition only on related points. Moreover, we provide a qualitative study of well-posedness, limit shadowing property and Ulam-Hyers stability of our fixed point problem. As application, we discuss the existence of a unique solution for a class of differential inclusions.
引用
收藏
页码：2963 / 2976
页数：14
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