<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

Published Online: Dec 31, 2018

Page range: 73 - 98

Received: Nov 21, 2017

Accepted: Jan 27, 2018

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

Keywords
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

Published Online: Dec 31, 2018

Page range: 73 - 98

Received: Nov 21, 2017

Accepted: Jan 27, 2018

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

Keywordsα-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.

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