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G-beta-psi-contractive type mappings in G-metric spaces
Journal article   Open access  Peer reviewed

G-beta-psi-contractive type mappings in G-metric spaces

Maryam A. Alghamdi and Erdal Karapinar
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2013(1), p.123
10/05/2013
DOI: https://doi.org/10.1186/1687-1812-2013-123

Abstract

NONLINEAR CONTRACTIONS FIXED-POINT THEOREMS
In this paper, we introduce G-beta-psi-contractive mappings which are generalizations of alpha-psi-contractive mappings in the context of G-metric spaces. Additionally, we prove existence and uniqueness of fixed points of such contractive mappings. Our results generalize, extend and improve the existing results in the literature. We state some examples to illustrate our results.
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https://doi.org/10.1186/1687-1812-2013-123View
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