In this paper, we introduce a new notion of extended partial strong
k-metric spaces with controlled operators and provide some examples to
show that is different from extended k-metric spaces which initiated by
Kamran et al. Furthermore, we introduce the concept of extended partial
fuzzy strong k-metric spaces with controlled operators, which is a
generalization of extended k-metric in the sense of Mehmood given.
Finally, we establish fixed point theorems for self-mappings which
satisfy Banach contraction principle on extended partial fuzzy strong
k-metric spaces. Also, we provide some examples to illustrate our
results.