Abstract
In this paper, we give sufficient conditions for the existence of solutions of a system of Volterra-type integral inclusion equations using new sort of multi-valued contractions, named as generalized multi-valued α∗-η∗-θ-contractions defined on α-complete b-metric spaces. We give its relevance to fixed point results. We set up an example to elucidate our main results.
| Original language | English |
|---|---|
| Pages (from-to) | 597-614 |
| Number of pages | 18 |
| Journal | International Journal of Nonlinear Analysis and Applications |
| Volume | 12 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2021, Semnan University, Center of Excellence in Nonlinear Analysis and Applications. All rights reserved.
Keywords
- Fixed point
- Generalized multi-valued α-η-θ-contractions
- Triangular α-orbital admissible
- α-complete b-metric space
- α-continuous multi-valued mappings
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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