Existence, Data Dependence and Stability of Fixed Points of Multivalued Maps in Incomplete Metric Spaces-Reference-Cited by-同舟云学术

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

Published:2022-12-20 Issue:1 Volume:37 Page:32-48
ISSN:2391-4238
Container-title:Annales Mathematicae Silesianae
language:en
Short-container-title:

Author:

Choudhury Binayak S.¹,Metiya Nikhilesh²^ORCID,Kundu Sunirmal³,Khatua Debashis¹

Affiliation:

1. Department of Mathematics , Indian Institute of Engineering Science and Technology Shibpur, Howrah – 711103, West Bengal , India

2. Department of Mathematics , Sovarani Memorial College , Jagatballavpur, Howrah – 711408, West Bengal , India

3. Department of Mathematics , Government General Degree College Salboni , Paschim Medinipur – 721516, West Bengal , India

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/amsil-2022-0020

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