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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Fixed point theorems for α ψ-contractive type mappings
Nonlinear Analysis, Theory, Methods and Applications, Volume 75, No. 4, Year 2012
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Description
In this paper, we introduce a new concept of αψ-contractive type mappings and establish fixed point theorems for such mappings in complete metric spaces. Starting from the Banach contraction principle, the presented theorems extend, generalize and improve many existing results in the literature. Moreover, some examples and applications to ordinary differential equations are given here to illustrate the usability of the obtained results. © 2011 Elsevier Ltd. All rights reserved.
Authors & Co-Authors
Samet, B.
Tunisia, Tunis
École Nationale Supérieure D'ingénieurs de Tunis
Vetro, Calogero
Italy, Palermo
Università Degli Studi Di Palermo
Vetro, Pasquale
Italy, Palermo
Università Degli Studi Di Palermo
Statistics
Citations: 871
Authors: 3
Affiliations: 2
Identifiers
Doi:
10.1016/j.na.2011.10.014
ISSN:
0362546X