Sign in
(rho, eta, mu)-Interpolative Kannan Contractions I
Journal article   Open access  Peer reviewed

(rho, eta, mu)-Interpolative Kannan Contractions I

Yae Ulrich Gaba, Hassen Aydi and Nabil Mlaiki
Axioms, Vol.10(3), p.212
01/09/2021

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We point out a vital error in the paper of Gaba et al. (2019), showing that a (rho,eta,mu) interpolative Kannan contraction in a complete metric space need not have a fixed point. Then we give an appropriate restriction on a (rho,eta,mu)-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-Ciric type contraction.
url
https://doi.org/10.3390/axioms10030212View
Published (Version of record) Open

Metrics

1 Record Views

Details