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

• Autorzy: Binayak S. Choudhury , Nikhilesh Metiya , Sunirmal Kundu , Debashis Khatua
• Języki publikacji: EN

Abstrakty

EN

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.(original abstract)

Słowa kluczowe

EN

Mathematics; Mathematical functions

PL

Matematyka; Funkcje matematyczne

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2023
• Tom: 37 (1)
• Strony: 32--48

Twórcy

autor

Binayak S. Choudhury

• Indian Institute of Engineering Science and Technology Shibpur, India

autor

Nikhilesh Metiya

• Sovarani Memorial College Jagatballavpur, India

autor

Sunirmal Kundu

• Government General Degree College Salboni, India

autor

Debashis Khatua

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Identyfikatory

DOI

0.2478/amsil-2022-0020