### Fixed point theorems for operators with a contractive iterate in b-metric spaces

#### Abstract

We consider, in this paper, mappings with a contractive iterate at apoint, which are not contractions, and prove some uniqueness andexistence results in the case of b-metric spaces. A data dependence result and an Ulam-Hyers stability result are also proved.

#### Keywords

Fixed point, $b$-metric space, contractive iterate, data dependence, Ulam-Hyers stability

#### Full Text:

PDF#### References

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