Pata-Type Fixed-Point Theorems in Kaleva–Seikkala’s Type Fuzzy Metric Space

The purpose of this paper is to generalize the fixed-point theorems for Banach–Pata-type contraction and Kannan–Pata-type contraction from metric spaces to Kaleva–Seikkala’s type fuzzy metric spaces. Moreover, two examples are given for the support of our results.

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Main Authors: Ao-Lei Sima, Fei He, Ning Lu
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/6185894
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author Ao-Lei Sima
Fei He
Ning Lu
author_facet Ao-Lei Sima
Fei He
Ning Lu
author_sort Ao-Lei Sima
collection DOAJ
description The purpose of this paper is to generalize the fixed-point theorems for Banach–Pata-type contraction and Kannan–Pata-type contraction from metric spaces to Kaleva–Seikkala’s type fuzzy metric spaces. Moreover, two examples are given for the support of our results.
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institution Kabale University
issn 2314-8896
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publishDate 2020-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-17824f6d887e4ef69b6109e716e3ad112025-02-03T01:24:57ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/61858946185894Pata-Type Fixed-Point Theorems in Kaleva–Seikkala’s Type Fuzzy Metric SpaceAo-Lei Sima0Fei He1Ning Lu2School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaThe purpose of this paper is to generalize the fixed-point theorems for Banach–Pata-type contraction and Kannan–Pata-type contraction from metric spaces to Kaleva–Seikkala’s type fuzzy metric spaces. Moreover, two examples are given for the support of our results.http://dx.doi.org/10.1155/2020/6185894
spellingShingle Ao-Lei Sima
Fei He
Ning Lu
Pata-Type Fixed-Point Theorems in Kaleva–Seikkala’s Type Fuzzy Metric Space
Journal of Function Spaces
title Pata-Type Fixed-Point Theorems in Kaleva–Seikkala’s Type Fuzzy Metric Space
title_full Pata-Type Fixed-Point Theorems in Kaleva–Seikkala’s Type Fuzzy Metric Space
title_fullStr Pata-Type Fixed-Point Theorems in Kaleva–Seikkala’s Type Fuzzy Metric Space
title_full_unstemmed Pata-Type Fixed-Point Theorems in Kaleva–Seikkala’s Type Fuzzy Metric Space
title_short Pata-Type Fixed-Point Theorems in Kaleva–Seikkala’s Type Fuzzy Metric Space
title_sort pata type fixed point theorems in kaleva seikkala s type fuzzy metric space
url http://dx.doi.org/10.1155/2020/6185894
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AT feihe patatypefixedpointtheoremsinkalevaseikkalastypefuzzymetricspace
AT ninglu patatypefixedpointtheoremsinkalevaseikkalastypefuzzymetricspace