Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces
Fixed-point theory in complex valued metric spaces has greatly developed in recent times. In this paper, we prove certain common fixed-point theorems for two single-valued mappings in such spaces. The mappings we consider here are assumed to satisfy certain metric inequalities with generalized fixed...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/604215 |
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| author | Chakkrid Klin-eam Cholatis Suanoom |
| author_facet | Chakkrid Klin-eam Cholatis Suanoom |
| author_sort | Chakkrid Klin-eam |
| collection | DOAJ |
| description | Fixed-point theory in complex valued metric spaces has greatly developed in
recent times. In this paper, we prove certain common fixed-point theorems for two single-valued mappings in such spaces. The mappings we consider here are assumed to satisfy certain metric inequalities with generalized fixed-point theorems due to Rouzkard and Imdad (2012). This extends and subsumes many results of other authors which were obtained for mappings on complex-valued metric spaces. |
| format | Article |
| id | doaj-art-e7cfd3d1d3d44fa2a062ead6e4bf2e09 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e7cfd3d1d3d44fa2a062ead6e4bf2e092025-02-03T01:12:17ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/604215604215Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric SpacesChakkrid Klin-eam0Cholatis Suanoom1Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandDepartment of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandFixed-point theory in complex valued metric spaces has greatly developed in recent times. In this paper, we prove certain common fixed-point theorems for two single-valued mappings in such spaces. The mappings we consider here are assumed to satisfy certain metric inequalities with generalized fixed-point theorems due to Rouzkard and Imdad (2012). This extends and subsumes many results of other authors which were obtained for mappings on complex-valued metric spaces.http://dx.doi.org/10.1155/2013/604215 |
| spellingShingle | Chakkrid Klin-eam Cholatis Suanoom Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces Abstract and Applied Analysis |
| title | Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces |
| title_full | Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces |
| title_fullStr | Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces |
| title_full_unstemmed | Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces |
| title_short | Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces |
| title_sort | some common fixed point theorems for generalized contractive type mappings on complex valued metric spaces |
| url | http://dx.doi.org/10.1155/2013/604215 |
| work_keys_str_mv | AT chakkridklineam somecommonfixedpointtheoremsforgeneralizedcontractivetypemappingsoncomplexvaluedmetricspaces AT cholatissuanoom somecommonfixedpointtheoremsforgeneralizedcontractivetypemappingsoncomplexvaluedmetricspaces |