Fixed point theorems for operators with a contractive iterate in b-metric spaces
Dedicated to Professor Ioan A. Rus on the occasion of his 80th anniversary
Keywords:
Fixed point, b-metric space, contractive iterate, data dependence, Ulam-Hyers stability.Abstract
We consider, in this paper, mappings with a contractive iterate at a point, which are not contractions, and prove some uniqueness and existence results in the case of b metric spaces. A data dependence result and an Ulam-Hyers stability result are also proved.
Mathematics Subject Classification (2010): 47H10, 54H25.
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