The Existence of Fixed Points for Nonlinear Contractive Maps in Metric Spaces with 𝑤-Distances

Some fixed point theorems for (𝜑,𝜓,𝑝)-contractive maps and (𝜑,𝑘,𝑝)-contractive maps on a complete metric space are proved. Presented fixed point theorems generalize many results existing in the literature.

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Main Authors: Hossein Lakzian, Ing-Jer Lin
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/161470
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author Hossein Lakzian
Ing-Jer Lin
author_facet Hossein Lakzian
Ing-Jer Lin
author_sort Hossein Lakzian
collection DOAJ
description Some fixed point theorems for (𝜑,𝜓,𝑝)-contractive maps and (𝜑,𝑘,𝑝)-contractive maps on a complete metric space are proved. Presented fixed point theorems generalize many results existing in the literature.
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1687-0042
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spelling doaj-art-e1005f5eee364dd38265f1204a6c0e042025-02-03T01:20:24ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/161470161470The Existence of Fixed Points for Nonlinear Contractive Maps in Metric Spaces with 𝑤-DistancesHossein Lakzian0Ing-Jer Lin1Department of Mathematics, Payame Noor University, Tehran 19395-4697, IranDepartment of Mathematics, National Kaohsiung Normal University, Kaohsiung 824, TaiwanSome fixed point theorems for (𝜑,𝜓,𝑝)-contractive maps and (𝜑,𝑘,𝑝)-contractive maps on a complete metric space are proved. Presented fixed point theorems generalize many results existing in the literature.http://dx.doi.org/10.1155/2012/161470
spellingShingle Hossein Lakzian
Ing-Jer Lin
The Existence of Fixed Points for Nonlinear Contractive Maps in Metric Spaces with 𝑤-Distances
Journal of Applied Mathematics
title The Existence of Fixed Points for Nonlinear Contractive Maps in Metric Spaces with 𝑤-Distances
title_full The Existence of Fixed Points for Nonlinear Contractive Maps in Metric Spaces with 𝑤-Distances
title_fullStr The Existence of Fixed Points for Nonlinear Contractive Maps in Metric Spaces with 𝑤-Distances
title_full_unstemmed The Existence of Fixed Points for Nonlinear Contractive Maps in Metric Spaces with 𝑤-Distances
title_short The Existence of Fixed Points for Nonlinear Contractive Maps in Metric Spaces with 𝑤-Distances
title_sort existence of fixed points for nonlinear contractive maps in metric spaces with 𝑤 distances
url http://dx.doi.org/10.1155/2012/161470
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