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

Andreea Fulga; Erdal Karapınar

doi:10.2478/auom-2018-0034

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 26 (2018): Issue 3 (December 2018)

By: Andreea Fulga and Erdal Karapınar

Open Access

|Dec 2018

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.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2018-0034 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 73 - 98

Submitted on: Nov 21, 2017

Accepted on: Jan 27, 2018

Published on: Dec 31, 2018

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

α-ψ-contractive mapping of type,

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© 2018 Andreea Fulga, Erdal Karapınar, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 26 (2018): Issue 3 (December 2018)