Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces

Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces

We give some initial properties of a subset of modular metric spaces and introduce some fixed-point theorems for multivalued mappings under the setting of contraction type. An appropriate example is as well provided. The stability of fixed points in our main theorems is also studied.

Bibliographic Details
Main Authors: Parin Chaipunya, Chirasak Mongkolkeha, Wutiphol Sintunavarat, Poom Kumam
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/503504
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spelling doaj-f7e191f307684937b2371047a7bdd41a2020-11-25T02:25:20ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/503504503504Fixed-Point Theorems for Multivalued Mappings in Modular Metric SpacesParin Chaipunya0Chirasak Mongkolkeha1Wutiphol Sintunavarat2Poom Kumam3Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, ThailandDepartment of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, ThailandDepartment of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, ThailandDepartment of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, ThailandWe give some initial properties of a subset of modular metric spaces and introduce some fixed-point theorems for multivalued mappings under the setting of contraction type. An appropriate example is as well provided. The stability of fixed points in our main theorems is also studied.http://dx.doi.org/10.1155/2012/503504
collection DOAJ
language English
format Article
sources DOAJ
author Parin Chaipunya
Chirasak Mongkolkeha
Wutiphol Sintunavarat
Poom Kumam
spellingShingle Parin Chaipunya
Chirasak Mongkolkeha
Wutiphol Sintunavarat
Poom Kumam
Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces
Abstract and Applied Analysis
author_facet Parin Chaipunya
Chirasak Mongkolkeha
Wutiphol Sintunavarat
Poom Kumam
author_sort Parin Chaipunya
title Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces
title_short Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces
title_full Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces
title_fullStr Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces
title_full_unstemmed Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces
title_sort fixed-point theorems for multivalued mappings in modular metric spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description We give some initial properties of a subset of modular metric spaces and introduce some fixed-point theorems for multivalued mappings under the setting of contraction type. An appropriate example is as well provided. The stability of fixed points in our main theorems is also studied.
url http://dx.doi.org/10.1155/2012/503504
work_keys_str_mv AT parinchaipunya fixedpointtheoremsformultivaluedmappingsinmodularmetricspaces
AT chirasakmongkolkeha fixedpointtheoremsformultivaluedmappingsinmodularmetricspaces
AT wutipholsintunavarat fixedpointtheoremsformultivaluedmappingsinmodularmetricspaces
AT poomkumam fixedpointtheoremsformultivaluedmappingsinmodularmetricspaces
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