Published: 2022-12-20

Existence, data dependence and stability of fixed points of multivalued maps in incomplete metric spaces

Binayak S. Choudhury , Nikhilesh Metiya Logo ORCID , Sunirmal Kundu , Debashis Khatua

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.

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Choudhury, B. S., Metiya, N., Kundu, S., & Khatua, D. (2022). Existence, data dependence and stability of fixed points of multivalued maps in incomplete metric spaces. Annales Mathematicae Silesianae, 37(1), 32–48. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14987

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Domyślna okładka

Vol. 37 No. 1 (2023)
Published: 2023-03-03


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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