Existence, Data Dependence and Stability of Fixed Points of Multivalued Maps in Incomplete Metric Spaces

被引：0

作者：

Choudhury, Binayak S. S. ^{[1
]}

Metiya, Nikhilesh ^{[2
]}

Kundu, Sunirmal ^{[3
]}

Khatua, Debashis ^{[1
]}

机构：

[1] Indian Inst Engn Sci & Technol, Dept Math, Howrah 711103, West Bengal, India

[2] Sovarani Mem Coll, Dept Math, Howrah 711408, West Bengal, India

[3] Govt Gen Degree Coll Salboni, Dept Math, Sirsi 721516, West Bengal, India

来源：

ANNALES MATHEMATICAE SILESIANAE | 2023年 / 37卷 / 01期

关键词：

metric space; alpha-completeness; alpha-continuity; fixed point; data dependence; stability; GENERALIZED CONTRACTIONS; THEOREMS; MAPPINGS; PRINCIPLE; CONSTANTS; SETS;

D O I：

10.2478/amsil-2022-0020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we formulate a setvalued fixed point problem by combining four prevalent trends of fixed point theory. We solve the problem by showing that the set of fixed points is nonempty. Further we have a data dependence result pertaining to the problem and also a stability result for the fixed point sets. The main result is extended to metric spaces with a graph. The results are obtained without the use of metric completeness assumption which is replaced by some other conditions suitable for solving the fixed point problem. There are some consequences of the main result. The main result is illustrated with an example.

引用

页码：32 / 48

页数：17

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