Quasi weak – partial cone b – metric space and some fixed point results

International Journal of Mathematics Trends and Technology (IJMTT)
© 2021 by IJMTT Journal
Volume-67 Issue-2
Year of Publication : 2021
Authors : Eriola Sila, Silvana Liftaj, Kujtim Dule


MLA Style: 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 67.2 (2021):159-165. 

APA Style: Eriola Sila, Silvana Liftaj, Kujtim Dule(2021). Quasi weak – partial cone b – metric space and some fixed point results. International Journal of Mathematics Trends and Technology, 159-165.

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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Keywords : Cauchy sequence, convergent sequence, comparison function, fixed point, quasi weak – partial b – cone metric space