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

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Adv. Fixed Point Theory 14 (2024), Article ID 16

Enriched multivalued contractions on double controlled metric type spaces with an application

Amit Gangwar, Shivam Rawat, Huseyin Isik, R.C. Dimri

PDF (168.8 KB) https://doi.org/10.28919/afpt/8551

Abstract

In this research, we define (λ,θ)-enriched multivalued contraction and λ-enriched multivalued nonexpansive mapping on a double controlled metric type space and propose some fixed point results for these introduced contractions. An example is given to support our proposed results. Also, we solve a problem of differential inclusion, which may be used to model controlled systems with discontinuities, as an application.

Published
6 May 2024
Volume
14 (2024)
License
CC BY 3.0

Copyright © 2024 Amit Gangwar, Shivam Rawat, Huseyin Isik, R.C. Dimri. 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

A. Gangwar, S. Rawat, H. Isik, R. C. Dimri, Enriched multivalued contractions on double controlled metric type spaces with an application, Adv. Fixed Point Theory 14 (2024), 16. https://doi.org/10.28919/afpt/8551

BibTeX
@article{Gangwar2024,
  author  = {Gangwar, Amit and Rawat, Shivam and Isik, Huseyin and Dimri, R.C.},
  title   = {Enriched multivalued contractions on double controlled metric type spaces with an application},
  journal = {Adv. Fixed Point Theory},
  volume  = {14},
  year    = {2024},
  pages   = {16},
  doi     = {10.28919/afpt/8551}
}