Cyclic Contractions and Related Fixed Point Theorems on <i>g</I>-metric Spaces
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Date
2014
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Natural Sciences Publishing Corp-nsp
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Abstract
Very recently, Jleli and Samet [53] and Samet et. al. [52] reported that some fixed point result in G-metric spaces can be derived from the fixed point theorems in the setting of usual metric space. In this paper, we prove the existence and uniqueness of fixed points of certain cyclic mappings in the context of G-metric spaces that can not be obtained by usual fixed point results via techniques used in [53,52]. We also give an example to illustrate our statements.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254; ERHAN, INCI M./0000-0001-6042-3695
Keywords
fixed point, G-metric space, cyclic maps, cyclic contractions
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Source
Volume
8
Issue
4
Start Page
1541
End Page
1551