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Journal of Inequalities and Applications
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Fixed point theorems for generalized contractions on GP-metric spaces

descriptionPublicationkeyboard_double_arrow_right Article 06 Feb 2013 English Publisher:Springer Science and Business Media LLCJournal:Journal of Inequalities and Applications, volume 2,013 (eissn: 1029-242X, Copyright policy )
Authors: KARAPINAR, ERDAL; Bilgili, Nurcan; Salimi, Peyman;

doi: 10.1186/1029-242x-2013-39

Fixed point theorems for generalized contractions on GP-metric spaces

Abstract

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.

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Keywords

Applied Mathematics, Discrete Mathematics and Combinatorics, Analysis

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
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Average
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