Coupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued Mappings in Partially Ordered Metric Spaces
We introduce and study new types of mixed monotone multivalued mappings in partially ordered complete metric spaces. We give relationships between those two types of mappings and prove their coupled fixed point and coupled common fixed point theorems in partially ordered complete metric spaces. Some...
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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/10.1155/2013/604578 |
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| author | Chalongchai Klanarong Suthep Suantai |
| author_facet | Chalongchai Klanarong Suthep Suantai |
| author_sort | Chalongchai Klanarong |
| collection | DOAJ |
| description | We introduce and study new types of mixed monotone multivalued mappings in partially ordered complete metric spaces. We give relationships between those two types of mappings and prove their coupled fixed point and coupled common fixed point theorems in partially ordered complete metric spaces. Some examples of each type of mappings satisfying the conditions of the main theorems are also given. Our main result includes several recent developments in fixed point theory of mixed monotone multivalued mappings. |
| format | Article |
| id | doaj-art-6620ada71e624ffbacce7e23a4c32985 |
| 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-6620ada71e624ffbacce7e23a4c329852025-02-03T01:22:28ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/604578604578Coupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued Mappings in Partially Ordered Metric SpacesChalongchai Klanarong0Suthep Suantai1Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandWe introduce and study new types of mixed monotone multivalued mappings in partially ordered complete metric spaces. We give relationships between those two types of mappings and prove their coupled fixed point and coupled common fixed point theorems in partially ordered complete metric spaces. Some examples of each type of mappings satisfying the conditions of the main theorems are also given. Our main result includes several recent developments in fixed point theory of mixed monotone multivalued mappings.http://dx.doi.org/10.1155/2013/604578 |
| spellingShingle | Chalongchai Klanarong Suthep Suantai Coupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued Mappings in Partially Ordered Metric Spaces Abstract and Applied Analysis |
| title | Coupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued Mappings in Partially Ordered Metric Spaces |
| title_full | Coupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued Mappings in Partially Ordered Metric Spaces |
| title_fullStr | Coupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued Mappings in Partially Ordered Metric Spaces |
| title_full_unstemmed | Coupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued Mappings in Partially Ordered Metric Spaces |
| title_short | Coupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued Mappings in Partially Ordered Metric Spaces |
| title_sort | coupled coincidence point theorems for new types of mixed monotone multivalued mappings in partially ordered metric spaces |
| url | http://dx.doi.org/10.1155/2013/604578 |
| work_keys_str_mv | AT chalongchaiklanarong coupledcoincidencepointtheoremsfornewtypesofmixedmonotonemultivaluedmappingsinpartiallyorderedmetricspaces AT suthepsuantai coupledcoincidencepointtheoremsfornewtypesofmixedmonotonemultivaluedmappingsinpartiallyorderedmetricspaces |