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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 13 (2023), Article ID 15

Some new fixed points results for a class of set-valued mappings in metric spaces

Rajendra Pant

PDF (153.9 KB) https://doi.org/10.28919/afpt/8141

Abstract

In this article, a wider class of set-valued mappings is introduced, and a fixed point theorem for this new mapping in a metric space is proved. Then, we derive a number of implications from our main finding. We also present two non-trivial examples to support our primary theorem. Moreover, we look into fixed point set stability for set-valued mappings and well-posedness. Finally, we present an application to integral inclusion problem.

Published
18 September 2023
Volume
13 (2023)
License
CC BY 3.0

Copyright © 2023 Rajendra Pant. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

R. Pant, Some new fixed points results for a class of set-valued mappings in metric spaces, Adv. Fixed Point Theory 13 (2023), 15. https://doi.org/10.28919/afpt/8141

BibTeX
@article{Pant2023,
  author  = {Pant, Rajendra},
  title   = {Some new fixed points results for a class of set-valued mappings in metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {13},
  year    = {2023},
  pages   = {15},
  doi     = {10.28919/afpt/8141}
}