A Best Proximity Point Theorem for Generalized Non-Self-Kannan-Type and Chatterjea-Type Mappings and Lipschitzian Mappings in Complete Metric Spaces
The purpose of this paper is to provide and study a best proximity point theorem for generalized non-self-Kannan-type and Chatterjea-type mappings and Lipschitzian mappings in complete metric spaces. The significant mapping in a unified form which related to contractive mappings, Kannan-type mapping...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/9321082 |
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| _version_ | 1832563214518321152 |
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| author | Kasamsuk Ungchittrakool |
| author_facet | Kasamsuk Ungchittrakool |
| author_sort | Kasamsuk Ungchittrakool |
| collection | DOAJ |
| description | The purpose of this paper is to provide and study a best proximity point theorem for generalized non-self-Kannan-type and Chatterjea-type mappings and Lipschitzian mappings in complete metric spaces. The significant mapping in a unified form which related to contractive mappings, Kannan-type mappings, and Chatterjea-type mappings is established. We also provide some examples to illustrate the situation corresponding to the main theorem. The main result of this paper can be viewed as a general and unified form of several previously existing results. |
| format | Article |
| id | doaj-art-47839ee6d00a444b85875ba79f62a191 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-47839ee6d00a444b85875ba79f62a1912025-02-03T01:20:43ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/93210829321082A Best Proximity Point Theorem for Generalized Non-Self-Kannan-Type and Chatterjea-Type Mappings and Lipschitzian Mappings in Complete Metric SpacesKasamsuk Ungchittrakool0Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandThe purpose of this paper is to provide and study a best proximity point theorem for generalized non-self-Kannan-type and Chatterjea-type mappings and Lipschitzian mappings in complete metric spaces. The significant mapping in a unified form which related to contractive mappings, Kannan-type mappings, and Chatterjea-type mappings is established. We also provide some examples to illustrate the situation corresponding to the main theorem. The main result of this paper can be viewed as a general and unified form of several previously existing results.http://dx.doi.org/10.1155/2016/9321082 |
| spellingShingle | Kasamsuk Ungchittrakool A Best Proximity Point Theorem for Generalized Non-Self-Kannan-Type and Chatterjea-Type Mappings and Lipschitzian Mappings in Complete Metric Spaces Journal of Function Spaces |
| title | A Best Proximity Point Theorem for Generalized Non-Self-Kannan-Type and Chatterjea-Type Mappings and Lipschitzian Mappings in Complete Metric Spaces |
| title_full | A Best Proximity Point Theorem for Generalized Non-Self-Kannan-Type and Chatterjea-Type Mappings and Lipschitzian Mappings in Complete Metric Spaces |
| title_fullStr | A Best Proximity Point Theorem for Generalized Non-Self-Kannan-Type and Chatterjea-Type Mappings and Lipschitzian Mappings in Complete Metric Spaces |
| title_full_unstemmed | A Best Proximity Point Theorem for Generalized Non-Self-Kannan-Type and Chatterjea-Type Mappings and Lipschitzian Mappings in Complete Metric Spaces |
| title_short | A Best Proximity Point Theorem for Generalized Non-Self-Kannan-Type and Chatterjea-Type Mappings and Lipschitzian Mappings in Complete Metric Spaces |
| title_sort | best proximity point theorem for generalized non self kannan type and chatterjea type mappings and lipschitzian mappings in complete metric spaces |
| url | http://dx.doi.org/10.1155/2016/9321082 |
| work_keys_str_mv | AT kasamsukungchittrakool abestproximitypointtheoremforgeneralizednonselfkannantypeandchatterjeatypemappingsandlipschitzianmappingsincompletemetricspaces AT kasamsukungchittrakool bestproximitypointtheoremforgeneralizednonselfkannantypeandchatterjeatypemappingsandlipschitzianmappingsincompletemetricspaces |