<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we introduce the notion of <italic>α-ψ</italic>-contractive mapping of type <italic>E</italic>, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings. We also list some examples to illustrate our results that unify and generalize the several well-known results including the famous Banach contraction mapping principle.</p></abstract>

In this paper, we introduce the notion of α-ψ-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings. We also list some examples to illustrate our results that unify and generalize the several well-known results including the famous Banach contraction mapping principle.

Revisiting of some outstanding metric fixed point theorems via <italic>E</italic>-contraction

Department of Mathematics and Computer Sciences

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Revisiting of some outstanding metric fixed point theorems via -contraction

In this paper, we introduce the notion of α-ψ-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the...

Revisiting of some outstanding metric fixed point theorems via E-contraction

Publié en ligne: 31 déc. 2018

Pages: 73 - 98

Reçu: 21 nov. 2017

Accepté: 27 janv. 2018

DOI: https://doi.org/10.2478/auom-2018-0034

Mots clés
α-ψ-contractive mapping of type, Fixed point, metric space

© 2018 Andreea Fulga et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Revisiting of some outstanding metric fixed point theorems via E-contraction

Publié en ligne: 31 déc. 2018

Pages: 73 - 98

Reçu: 21 nov. 2017

Accepté: 27 janv. 2018

DOI: https://doi.org/10.2478/auom-2018-0034

Mots clésα-ψ-contractive mapping of type, Fixed point, metric space

© 2018 Andreea Fulga et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
α-ψ-contractive mapping of type, Fixed point, metric space