OICC Press Communications in Nonlinear Analysis 2371-7920 13 1 2025 06 30 Common Fixed Point Theorem of Brancieri’s IntegralType in Quasi b-Metric Space 10.57647/cna.2025.sxwx-8yah.7 EN Mujeeb Ur Rahman Department of Mathematics, Government PG Jahanzeb College, Saidu Sharief Swat, Khyber Pakhtunkhwa, Pakistan Abid Ullah Khan Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, Pakistan Asif Khan Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, Pakistan https://orcid.org/0009-0007-7075-7382 Journal Article 2025 06 30 Let $P(z)= \sum_{j=0}^{n}a_{j}{z}^{j}\in \mathcal{P}_{n}$, with $P(z)$ not vanishing in $|z|<1$. In this paper, we investigate a common fixed point theorem for a pair of continuous self-mappings satisfying integral-type contractions in the setting of a \dqbm\ space. The established theorem extends and generalizes several well-known results in the literature. Moreover, the constructed result can be extensively applied in the fields of integral equations and ordinary differential equations. An example is provided to support the established result.