Some fixed point results for generalized contraction mappings with cyclic (α,β)-admissible mapping in multiplicative metric spaces

The purpose of this work is to introduce new types of contraction mappings in the sense of a multiplicative metric space. Fixed point results for these contraction mappings in multiplicative metric spaces are obtained. Our presented results generalize, extend, and improve results on the topic in the...

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Vydáno v:Journal of inequalities and applications Ročník 2014; číslo 1; s. 1 - 15
Hlavní autoři: Yamaod, Oratai, Sintunavarat, Wutiphol
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 08.12.2014
Springer Nature B.V
Témata:
Analysis
Applications of Mathematics
Fixed points (mathematics)
Inequalities
Mapping
Mathematics
Mathematics and Statistics
Metric space
Recent Advances in Inequalities and Applications from Real and Complex Analysis
Theorems
multiplicative
Chatterjea-contraction mappings
Kannan-contraction mappings
Banach-contraction mappings
multiplicative metric spaces
ISSN:1029-242X, 1025-5834, 1029-242X
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Shrnutí:The purpose of this work is to introduce new types of contraction mappings in the sense of a multiplicative metric space. Fixed point results for these contraction mappings in multiplicative metric spaces are obtained. Our presented results generalize, extend, and improve results on the topic in the literature. Moreover, our results cannot be directly obtained as a consequence from the corresponding results in metric spaces. We also state some illustrative examples to claim that our results properly generalize some results in the literature. We apply our main results for proving a fixed point theorem involving a cyclic mapping. MSC: 47H09, 47H10.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/1029-242X-2014-488