Fixed Points and Stability for Integral-Type Multivalued Contractive Mappings

The existence and iterative approximations of fixed points concerning two classes of integral-type multivalued contractive mappings in complete metric spaces are proved, and the stability of fixed point sets relative to these multivalued contractive mappings is established. The results obtained in t...

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Main Authors: Zhefu An, Mengyao Li, Liangshi Zhao
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5542414
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author Zhefu An
Mengyao Li
Liangshi Zhao
author_facet Zhefu An
Mengyao Li
Liangshi Zhao
author_sort Zhefu An
collection DOAJ
description The existence and iterative approximations of fixed points concerning two classes of integral-type multivalued contractive mappings in complete metric spaces are proved, and the stability of fixed point sets relative to these multivalued contractive mappings is established. The results obtained in this article generalize and improve some known results in the literature. An illustrative example is given.
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institution Kabale University
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publishDate 2021-01-01
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series Journal of Function Spaces
spelling doaj-art-322f2f8601be4dcc8008fdc5fdf281492025-02-03T07:24:25ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55424145542414Fixed Points and Stability for Integral-Type Multivalued Contractive MappingsZhefu An0Mengyao Li1Liangshi Zhao2School of Mathematics, Liaoning University, Shenyang, Liaoning 110036, ChinaLuoyang No.43 Middle School, Luoyang, Henan 471012, ChinaCenter for Studies of Marine Economy and Sustainable Development, Liaoning Normal University, Dalian, Liaoning 116029, ChinaThe existence and iterative approximations of fixed points concerning two classes of integral-type multivalued contractive mappings in complete metric spaces are proved, and the stability of fixed point sets relative to these multivalued contractive mappings is established. The results obtained in this article generalize and improve some known results in the literature. An illustrative example is given.http://dx.doi.org/10.1155/2021/5542414
spellingShingle Zhefu An
Mengyao Li
Liangshi Zhao
Fixed Points and Stability for Integral-Type Multivalued Contractive Mappings
Journal of Function Spaces
title Fixed Points and Stability for Integral-Type Multivalued Contractive Mappings
title_full Fixed Points and Stability for Integral-Type Multivalued Contractive Mappings
title_fullStr Fixed Points and Stability for Integral-Type Multivalued Contractive Mappings
title_full_unstemmed Fixed Points and Stability for Integral-Type Multivalued Contractive Mappings
title_short Fixed Points and Stability for Integral-Type Multivalued Contractive Mappings
title_sort fixed points and stability for integral type multivalued contractive mappings
url http://dx.doi.org/10.1155/2021/5542414
work_keys_str_mv AT zhefuan fixedpointsandstabilityforintegraltypemultivaluedcontractivemappings
AT mengyaoli fixedpointsandstabilityforintegraltypemultivaluedcontractivemappings
AT liangshizhao fixedpointsandstabilityforintegraltypemultivaluedcontractivemappings