Volume 67 | Issue 2 | Year 2021 | Article Id. IJMTT-V67I2P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I2P522

Let 𝑋 be a non – empty set. In this paper is given a new space called the quasi weak – partial cone b - metric space 𝑋. There are defined right (left) open balls, right (left) closed balls, right topology, left topology, right Cauchy sequences, left Cauchy sequences and right (left) convergent sequences in it. Furthermore, there is proved the existence and uniqueness of a fixed point related to a nonlinear contraction using a comparison function in 𝑋. Some results are obtain as corollaries. These results generalize some well – known theorems in quasi weak – partial cone metric space. In addition, as illustrations are given some examples.

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Eriola Sila, Silvana Liftaj, Kujtim Dule, "Quasi weak – partial cone b – metric space and some
fixed point results," *International Journal of Mathematics Trends and Technology (IJMTT)*, vol. 67, no. 2, pp. 159-165, 2021. *Crossref*, https://doi.org/10.14445/22315373/IJMTT-V67I2P522