Abstract
In this present paper, we introduce graphical Branciari ℵ-metric space and prove the fixed point theorem for Ω-Q-contraction on complete graphical Branciari ℵ-metric spaces. Our result has been supplemented with suitable, non trivial examples. We have applied the derived fixed point result to solve non-linear Fredholm integral equations and fractional differential equation.
| Original language | English |
|---|---|
| Pages (from-to) | 32945-32961 |
| Number of pages | 17 |
| Journal | AIMS Mathematics |
| Volume | 9 |
| Issue number | 11 |
| DOIs | |
| State | Published - 2024 |
Keywords
- Branciari ℵ-metric space
- graphical Branciari ℵ-metric space
- Ω-Q-contraction
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