Fixed Point Results for Weak φ-Contractions in Cone Metric Spaces over Banach Algebras and Applications
By using a nontrivial proof method, the purpose of this paper is to obtain some fixed point results for weak φ-contractions in cone metric spaces over Banach algebras. Several examples and applications to the existence and uniqueness of a solution to two classes of equations are also given.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/5054603 |
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| _version_ | 1832567647191957504 |
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| author | Biwen Li Huaping Huang |
| author_facet | Biwen Li Huaping Huang |
| author_sort | Biwen Li |
| collection | DOAJ |
| description | By using a nontrivial proof method, the purpose of this paper is to obtain some fixed point results for weak φ-contractions in cone metric spaces over Banach algebras. Several examples and applications to the existence and uniqueness of a solution to two classes of equations are also given. |
| format | Article |
| id | doaj-art-466ab3efc0ad4201af196cf27a4789b5 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-466ab3efc0ad4201af196cf27a4789b52025-02-03T01:00:52ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/50546035054603Fixed Point Results for Weak φ-Contractions in Cone Metric Spaces over Banach Algebras and ApplicationsBiwen Li0Huaping Huang1School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, ChinaSchool of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, ChinaBy using a nontrivial proof method, the purpose of this paper is to obtain some fixed point results for weak φ-contractions in cone metric spaces over Banach algebras. Several examples and applications to the existence and uniqueness of a solution to two classes of equations are also given.http://dx.doi.org/10.1155/2017/5054603 |
| spellingShingle | Biwen Li Huaping Huang Fixed Point Results for Weak φ-Contractions in Cone Metric Spaces over Banach Algebras and Applications Journal of Function Spaces |
| title | Fixed Point Results for Weak φ-Contractions in Cone Metric Spaces over Banach Algebras and Applications |
| title_full | Fixed Point Results for Weak φ-Contractions in Cone Metric Spaces over Banach Algebras and Applications |
| title_fullStr | Fixed Point Results for Weak φ-Contractions in Cone Metric Spaces over Banach Algebras and Applications |
| title_full_unstemmed | Fixed Point Results for Weak φ-Contractions in Cone Metric Spaces over Banach Algebras and Applications |
| title_short | Fixed Point Results for Weak φ-Contractions in Cone Metric Spaces over Banach Algebras and Applications |
| title_sort | fixed point results for weak φ contractions in cone metric spaces over banach algebras and applications |
| url | http://dx.doi.org/10.1155/2017/5054603 |
| work_keys_str_mv | AT biwenli fixedpointresultsforweakphcontractionsinconemetricspacesoverbanachalgebrasandapplications AT huapinghuang fixedpointresultsforweakphcontractionsinconemetricspacesoverbanachalgebrasandapplications |