1. (ρ,η,μ)-Interpolative Kannan Contractions I
- Author
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Yaé Ulrich Gaba, Hassen Aydi, and Nabil Mlaiki
- Subjects
(ρ,η,μ)-interpolative Kannan contraction ,fixed point ,metric space ,Mathematics ,QA1-939 - Abstract
We point out a vital error in the paper of Gaba et al. (2019), showing that a (ρ,η,μ) interpolative Kannan contraction in a complete metric space need not have a fixed point. Then we give an appropriate restriction on a (ρ,η,μ)-interpolative Kannan contraction that guarantees the existence of a fixed point and provide an equivalent formulation. Moreover, we show that this formulation can be extended to the interpolative Reich-Rus-Ćirić type contraction.
- Published
- 2021
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