On Probabilistic Alpha-Fuzzy Fixed Points and Related Convergence Results in Probabilistic Metric and Menger Spaces under Some Pompeiu-Hausdorff-Like Probabilistic Contractive Conditions

On Probabilistic Alpha-Fuzzy Fixed Points and Related Convergence Results in Probabilistic Metric and Menger Spaces under Some Pompeiu-Hausdorff-Like Probabilistic Contractive Conditions

In the framework of complete probabilistic metric spaces and, in particular, in probabilistic Menger spaces, this paper investigates some relevant properties of convergence of sequences to probabilistic α-fuzzy fixed points under some types of probabilistic contractive conditions.

Bibliographic Details
Main Author: M. De la Sen
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/213174
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spelling doaj-86667cc3e4754aaba90a3fbfd60fa7882020-11-24T23:07:18ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/213174213174On Probabilistic Alpha-Fuzzy Fixed Points and Related Convergence Results in Probabilistic Metric and Menger Spaces under Some Pompeiu-Hausdorff-Like Probabilistic Contractive ConditionsM. De la Sen0Institute of Research and Development of Processes IIDP, Faculty of Science and Technology, University of the Basque Country, Barrio Sarriena, Biscay, 48940 Leioa, SpainIn the framework of complete probabilistic metric spaces and, in particular, in probabilistic Menger spaces, this paper investigates some relevant properties of convergence of sequences to probabilistic α-fuzzy fixed points under some types of probabilistic contractive conditions.http://dx.doi.org/10.1155/2015/213174
collection DOAJ
language English
format Article
sources DOAJ
author M. De la Sen
spellingShingle M. De la Sen
On Probabilistic Alpha-Fuzzy Fixed Points and Related Convergence Results in Probabilistic Metric and Menger Spaces under Some Pompeiu-Hausdorff-Like Probabilistic Contractive Conditions
Journal of Function Spaces
author_facet M. De la Sen
author_sort M. De la Sen
title On Probabilistic Alpha-Fuzzy Fixed Points and Related Convergence Results in Probabilistic Metric and Menger Spaces under Some Pompeiu-Hausdorff-Like Probabilistic Contractive Conditions
title_short On Probabilistic Alpha-Fuzzy Fixed Points and Related Convergence Results in Probabilistic Metric and Menger Spaces under Some Pompeiu-Hausdorff-Like Probabilistic Contractive Conditions
title_full On Probabilistic Alpha-Fuzzy Fixed Points and Related Convergence Results in Probabilistic Metric and Menger Spaces under Some Pompeiu-Hausdorff-Like Probabilistic Contractive Conditions
title_fullStr On Probabilistic Alpha-Fuzzy Fixed Points and Related Convergence Results in Probabilistic Metric and Menger Spaces under Some Pompeiu-Hausdorff-Like Probabilistic Contractive Conditions
title_full_unstemmed On Probabilistic Alpha-Fuzzy Fixed Points and Related Convergence Results in Probabilistic Metric and Menger Spaces under Some Pompeiu-Hausdorff-Like Probabilistic Contractive Conditions
title_sort on probabilistic alpha-fuzzy fixed points and related convergence results in probabilistic metric and menger spaces under some pompeiu-hausdorff-like probabilistic contractive conditions
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2015-01-01
description In the framework of complete probabilistic metric spaces and, in particular, in probabilistic Menger spaces, this paper investigates some relevant properties of convergence of sequences to probabilistic α-fuzzy fixed points under some types of probabilistic contractive conditions.
url http://dx.doi.org/10.1155/2015/213174
work_keys_str_mv AT mdelasen onprobabilisticalphafuzzyfixedpointsandrelatedconvergenceresultsinprobabilisticmetricandmengerspacesundersomepompeiuhausdorfflikeprobabilisticcontractiveconditions
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