DOI: 10.24193/fpt-ro.2024.2.07

Authors: Sudipta Kumar Ghosh, C. Nahak and Ravi P. Agarwal

Abstract: The main aim of this work is to study multivalued HR-type interpolative contraction and multivalued 𝒫-contraction through (ℋ, ℱ)-contraction and C-class function, respectively via Maia type result in b-metric spaces setting. Moreover, by using the notion of multi-valued triangular α-admissible mappings of type Λ, we have investigated our new findings. Some related fixed point results for such mappings are also proved in this set-up. Our results extend, generalize and modify many famous results that exist in the literature. We furnish an example to justify our new findings. As an application, we implement our results in data dependence and stability of fixed point.

Key Words and Phrases: Multivalued mapping, admissible mapping, interpolative contraction, 𝒫-contraction, b-metric spaces, Maia-type result, (ℋ, ℱ)-contraction, C-class function, generalized data dependence, generalized stability problem.

2010 Mathematics Subject Classification: 47H09, 47H10, 54H25.

Published on-line: June 15th, 2024.

Fulltext pdf

Back to volume's table of contents