Fixed point theorems for generalized contractions on <i>GP</i>-metric spaces
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Date
2013
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Publisher
Springeropen
Abstract
In this paper, we present two fixed point theorems on mappings, defined on GP-complete GP-metric spaces, which satisfy a generalized contraction property determined by certain upper semi-continuous functions. Furthermore, we illustrate applications of our theorems with a number of examples. Inspired by the work of Jachymski, we also establish equivalences of certain auxiliary maps in the context of GP-complete GP-metric spaces. MSC: 47H10, 54H25.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254
Keywords
fixed point, partial metric space, GP-metric space
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