<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Recently, Karapinar, Aydi and De Hierro introduced the notions of interpolative Kannan-type contractions and interpolative CRR-type contractions and proved that they possess a fixed point when the space is complete. In this paper, we show that the existence of fixed points for interpolative Kannan-type and CRR-type contractions remains true for a metric space which is not necessarily complete and we give a more precise result concerning the behaviour of Picard sequences of arbitrary initial point. We also study some particular classes of interpolative Kannan-type and CRR-type contractions.</p>
</abstract>

Recently, Karapinar, Aydi and De Hierro introduced the notions of interpolative Kannan-type contractions and interpolative CRR-type contractions and proved that they possess a fixed point when the space is complete. In this paper, we show that the existence of fixed points for interpolative Kannan-type and CRR-type contractions remains true for a metric space which is not necessarily complete and we give a more precise result concerning the behaviour of Picard sequences of arbitrary initial point. We also study some particular classes of interpolative Kannan-type and CRR-type contractions.

On some results on interpolative Kannan-type and CRR-type contractions.

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"On some results on interpolative Kannan-type and CRR-type contractions."}

Recently, Karapinar, Aydi and De Hierro introduced the notions of interpolative Kannan-type contractions and interpolative CRR-type contractions and proved...

On some results on interpolative Kannan-type and CRR-type contractions.

Publié en ligne: 13 janv. 2022

Pages: 54 - 66

Reçu: 08 févr. 2021

Accepté: 12 mai 2021

DOI: https://doi.org/10.2478/mjpaa-2022-0005

Mots clés
fixed-point, Kannan-type contractions, CRR-type contractions

© 2022 Amnay El Amri et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On some results on interpolative Kannan-type and CRR-type contractions.

Publié en ligne: 13 janv. 2022

Pages: 54 - 66

Reçu: 08 févr. 2021

Accepté: 12 mai 2021

DOI: https://doi.org/10.2478/mjpaa-2022-0005

Mots clésfixed-point, Kannan-type contractions, CRR-type contractions

© 2022 Amnay El Amri et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
fixed-point, Kannan-type contractions, CRR-type contractions